Brainliest + 20 points to whoever helps!!!

Under which circumstances should you use a two-population z test?
a. The standard deviation is unknown.
b. The sample size is less than 30.
c. The population is slightly skewed and n > 40.
d. The standard deviation is known and n > 30.

Answers

Answer 1

Answer:

D. The standard deviation is known and n > 30.

Step-by-step explanation:

Your sample size is greater than 30.Data points should be away from each other.Your data should be commonly categorized. Your data should be randomly picked from a population. Each item should have an equal chance of being selected. The sample sizes should be equal.
Answer 2
Final answer:

A two-population z test should be used when the standard deviation is known and the sample size is greater than 30.

Explanation:

The circumstances under which you should use a two-population z test are:

The standard deviation is known and the sample size is greater than 30.

Learn more about Two-population z test here:

https://brainly.com/question/32498061

#SPJ2


Related Questions

You invest $3,200 in an account that pays an interest rate of 8.5%, compounded continuously.


Calculate the balance of your account after 6 years. Round your answer to the nearest hundredth.

Answers

Answer: the balance is $5328.95

Step-by-step explanation:

The formula for continuously compounded interest is

A = P x e (r x t)

Where

A represents the future value of the investment after t years.

P represents the present value or initial amount invested

r represents the interest rate

t represents the time in years for which the investment was made.

e is the mathematical constant approximated as 2.7183.

From the information given,

P = 3200

r = 8.5% = 8.5/100 = 0.085

t = 6 years

Therefore,

A = 3200 x 2.7183^(0.085 x 6)

A = 3200 x 2.7183^(0.51)

A = $5328.95 to the nearest hundredth

Answer:

FOR PLATO/EDMENTUM USER THE right answer is: 5328.93

Step-by-step explanation:

Linda Johnson, a broker, sold a home for $85,000. The home had been listed with another real estate firm for a 7% commission. The commission split between Johnson's principal broker and the other principal broker was 50/50. The commission split between Johnson and her principal broker was 65% to the broker, 35% to the principal broker. What was Johnson's commission from the sale of the home

Answers

Answer:

Linda's share was $ 1933.75

Step-by-step explanation:

We first need to calculate the comission that was paid to the other real state firm wich is 7% of the sales price, so we can use the following equation:

Comission = 85000 * (7/100) = 85000*0.07 = 5950 $

Since this comission was split in half between Johnson's broker and the other broker we have 5950/2 = 2975 for each of them. From that value 65% should stay with the broker wich is Linda in this case so:

Linda's share = 2975*(65/100) = 2975*(0.65) = 1933.75 $.

Given Information:

Sale Amount = $85,000

Commission rate = 7%

Linda Johnson commission rate = 65% of 50% of commission amount

Required Information:

Linda Johnson share in the sale = ?

Answer:

Linda Johnson share in the sale = $1933.75

Step-by-step explanation:

Linda Johnson share in the sale is

Linda's share = 65% of 50% of commission amount

Where commission amount is

commission amount = 7% of sale amount

commission amount = 0.07*85,000

commission amount = $5,950

Linda's share = 0.65*0.50*5,950

Linda's share = $1933.75

A palindrome is a string whose reverse is identical to the original string. Give examples of bit strings of length 5 and 6 that are palindromes. How many bit string palindromes of length n are there? How many ternary string palindromes of length n are there?

Answers

Answer:

The answers to the question are as follows

a). Please see the examples of bit strings of length 5 and 6 that are palindromes in the following explanation.

b). The number of even length palindromes is [tex]26^{\frac{n}{2} }[/tex]

The number of odd length palindromes is [tex]26^{\frac{n+1}{2} }[/tex]

c). The number of  ternary string palindromes of length n is 702.

Step-by-step explanation:

a). Examples of bit strings of length 5 and 6 that are palindromes are

Bit strings of length 5                                 Bit strings of length 6

Kayak                                                           Hannah

Level                                                            Redder

Civic                                                             Terret

Madam                                                         Kakkak

Solos                                                            degged

Tenet

Rotor

Minim

Radar

Refer

Terret

b). When n is even, we have a choice of any of the 26 characters for the first letter, similarly, we can choose any character for the second, and so on up till the n/2 th position after which subsequent letters depend on the letter chosen before the half point following the definition of a palindrome.

Therefore we have n/2 independent choices with repetition therefore we have [tex]26^{\frac{n}{2} }[/tex] palindromes of even length with or without meaning in the alphabet

On the other hand, when n is odd, we are free to chose any letter up to the middle letter as before this means we have [tex]\frac{n-1}{2} +1 = \frac{n+1}{2}[/tex] free choices

Therefore the number of odd length palindromes are [tex]26^{\frac{n+1}{2} }[/tex]

c). For a ternary string palindrome, we have 26 letters for the first position, and also 26 for the second, while the third is the same as the first which is one option.

Where n = 2 we have 26 ways of selecting the first and second letters which are equal

Therefore the number of  ternary string palindromes of length n  are 26×26 + 26 = 702

Final answer:

Bit string palindromes of length 5 and 6 are strings that are the same forward and backward, like '10101' or '100001'. The number of palindromic bit strings of length n is 2 raised to the floor of n/2, and the number of ternary string palindromes of length n is 3 raised to the floor of n/2.

Explanation:

A palindrome is a string that remains the same when reversed. Examples of bit string palindromes of length 5 include '10001', '01110', '10101', '01010'. For length 6, examples could be '100001', '011110', '101101', '010010'.

In general, to calculate the number of palindromic bit strings for any given length, the first half of the string can be anything (2 ⌊n/2⌋ possibilities), and the second half must mirror the first. Thus there are 2 ⌊n/2⌋ bit string palindromes of length n.

For ternary palindromes (strings composed of the digits 0, 1, and 2), use the same logic but switch the base to 3. Thus there are 3 ⌊n/2⌋ ternary string palindromes of length n.

Learn more about palindromes here:

https://brainly.com/question/14076732

#SPJ12

Suppose parametric equations for the line segment between (6,9) and (0,0) have the form: x = a+bt y = c+dt If the parametric curve starts at (6,9) when t=0 and ends at (0,0) at t=1, then find: a = b = c = d =

Answers

What is 0.05 Equal to 0.5.

Mt. Vesuvius has an altitude of 3000 feet. A person stands 120 feet away from the base of the volcano. What is the angle of elevation from the person on the ground to the top of the volcano?

Answers

Answer: the angle of elevation from the person on the ground to the top of the volcano is 87.7°

Step-by-step explanation:

The person, his angle of elevation and his distance from the foot of the mountain forms a right angle triangle.

The altitude of the mountain represents the opposite side of the right angle triangle.

The distance of the person from the base of the volcano represents the opposite side of the right angle triangle.

To determine the angle of elevation from the person on the ground to the top of the volcano, we would apply the tangent trigonometric ratio.

Tan θ, = opposite side/adjacent side. Therefore,

Tan θ = 3000/120 = 25

θ = Tan^-1(25)

θ = 87.7° to the nearest tenth.

A sports survey taken at THS shows that 48% of the respondents liked soccer, 66% liked basketball and 38% liked hockey. Also,30% liked soccer and basketball, 22% liked basketball and hockey, 28% liked soccer and hockey. finally, 12% liked all three sports. A. Draw a. venn diagram to represent the given information. B. What is the probability that a randomly selected student likes basketball or hockey? Solve this by also using an appropriate formula. C. What is the probability that a randomly selected student does not like any of these sports?

Answers

Answer:

a) The Venn diagram is presented in the attached image to this answer.

b) 0.82

c) 0.16

Step-by-step explanation:

a) The Venn diagram is presented in the attached image to this answer.

n(U) = 100%

n(S) = 48%

n(B) = 66%

n(H) = 38%

n(S n B) = 30%

n(B n H) = 22%

n(S n H) = 28%

n(S n B n H) = 12%

The specific breakdowns for each subgroup is calculated on the Venn diagram attached.

b) The probability that a randomly selected student likes basketball or hockey.

P(B U H)

From the Venn diagram,

n(B U H) = n(S' n B n H') + n(S' n B n H) + n(S n B n H') + n(S n B n H) + n(S n B' n H) + n(S' n B' n H) = 26 + 10 + 18 + 12 + 16 + 0 = 82%

P(B U H) = 82/100 = 0.82

c) The probability that a randomly selected student does not like any of these sports.

P(S' n B' n H')

n(S' n B' n H') = n(U) - [n(S' n B n H') + n(S' n B n H) + n(S n B n H') + n(S n B n H) + n(S n B' n H) + n(S' n B' n H) + n(S n B' n H')]

n(S' n B' n H') = 100 - (26 + 10 + 18 + 12 + 16 + 0 + 2) = 100 - 84 = 16%

P(S' n B' n H') = 16/100 = 0.16

Find the missing length QG. Round answer to nearest tenth.

Answers

Answer:

The answer to your question is QG = 55.8 ft

Step-by-step explanation:

Data

QG = x

Process

1.- Find T

The sum of the internal angles in a triangle equals 180°

          G  +  Q  +  T  = 180

-Solve for T

            T  =  180 - G  -  Q

- Substitution

            T = 180 - 41 - 67

-Simplification

             T = 72°

2.- Use the law of sines to find QG

              QG / sin T = GT / sin Q

-Solve for QG

              QG = GT sinT / sin Q

-Substitution

              QG = 54 sin 72 / sin 67

- Simplification

              QG = 54 (0.951)/0.921

-Result

             QG = 55.8 ft        

Answer:

Step-by-step explanation:

Considering the given triangle QGT, to determine QG, we would apply the sine rule. It is expressed as

a/SinA = b/SinB = c/SinC

Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. Likening it to the given triangle, the expression becomes

QG/SinT = GT/SinQ = QT/SinG

The sum of the angles in a triangle is 180°. It means that

T = 180 - (41 + 67) = 72°

Therefore

QG/Sin72 = 54/Sin 67

Cross multiplying, it becomes

QGSin67 = 54Sin72

0.921QG = 54 × 0.951

0.921QG = 51.354

QG = 51.354/0.921

QG = 55.8 ft

There is 7/8 quarts of orange juice. Mrs. Mathewson would like to serve her guests 3/16 quarts orange juice. How many guests can she serve orange juice?

Answers

Final answer:

Mrs. Mathewson can serve orange juice to 4 guests. The solution was found by first converting the fractions to the same denominator, then dividing the total orange juice by the amount per guest, and taking into account that you can't serve fractions of a guest.

Explanation:

The problem presented here is a basic division problem that requires you to divide the total amount of orange juice by the amount served to each guest. Mrs. Mathewson has 7/8 quarts of orange juice and she would like to serve each guest 3/16 quarts of orange juice.

Firstly, we'll convert both fractions to the same denominator for simplicity. As 8 is a multiple of 16, we can leave the second fraction as it is (3/16) and change the first fraction to 14/16 (which is the same as 7/8). Now, we divide 14 by 3 which gives us roughly 4.6.

This result means Mrs. Mathewson can serve orange juice to 4 guests with a bit left over. As we can't serve a fraction of a guest, it means she can only serve 4 whole guests.

Learn more about Dividing Fractions here:

https://brainly.com/question/18511795

#SPJ3

Final answer:

Mrs. Mathewson can serve orange juice to 14 guests.

Explanation:

To determine how many guests Mrs. Mathewson can serve orange juice, we need to find the quotient of the total amount of orange juice and the amount per guest. Given that there are 7/8 quarts of orange juice and Mrs. Mathewson wants to serve 3/16 quarts per guest, we divide the total amount by the amount per guest: (7/8) ÷ (3/16) = (7/8) × (16/3) = 14 guests.

Learn more about orange here:

https://brainly.com/question/755679

#SPJ2

Mr. Burk traveled 240 miles last weekend. His average rate of speed for the trip was 70 miles per hour. Since he did not stop, about how many hours long was his trip?

Answers

Answer:

about 3 1/2 hours long

Step-by-step explanation:

70 goes into 240 evenly 3 times, and 70×3 equals 210. that leaves 30 miles remaining. since he is moving at an average rate of 70mph, 3/7 would be the remaining time. to decimal that equals a total of about 3 hours and 25 minutes, which, rounded up, equals 3 and 1 half hours.

Please help me with this!

Answers

Answer:

  -540

Step-by-step explanation:

The coefficient of the k-th term of (a+b)^n is nCk. (k = 0, 1, 2, ..., n)

Here, we want the coefficient of a^3b^3 for n=6, so k=3 and the coefficient is ...

  6C3 = 6!/(3!(6-3)!) = 5·4 = 20

So for a=3x and b=-y, we want ...

  20a^3b^3 = 20(3x)^3(-y)^3 = -540x^3y^2

The coefficient you're looking for is -540.

Jerry says I've got my money in a great account that compounds interest monthly. The equation y=388 (1.008) represents how much money I have at the end of the month. What is Jerry 's monthly interest rate? What is his annual interest rate? Write an equation to represent your total money if you invest $500 in an account with the same rate of return .Let m represent the number of months the money has been invested

Answers

Answer:

(a)His monthly Interest Rate=0.8%

(b)Annual Interest Rate = 9.6%

(c)[tex]500(1.008)^m[/tex]

Step-by-step explanation:

For a Principal P invested at a yearly rate r, compounded m times in t years

Amount at Compound Interest= [tex]P(1+\frac{r}{m})^{mt}[/tex]

Comparing with Jerry's equation y=388 (1.008)

(a)His monthly Interest Rate= 0.008=0.8%

(b)Annual Interest Rate= Monthly Interest Rate X 12 =0.8 X 12 = 9.6%

(c)If I invest $500 at the same rate of return,

Total Money after m months

= [tex]P(1+\frac{r}{m})^{mt}[/tex][tex]=500(1+0.008)^{m}[/tex][tex]=500(1.008)^m[/tex]

Final answer:

Jerry's monthly interest rate is 0.8%, and his annual interest rate is approximately 9.96%. An investment of $500 in the same account would grow according to the equation [tex]y = 500(1.008)^{m}[/tex], where m represents the months invested.

Explanation:

Jerry says he's got his money in a great account that compounds interest monthly. The equation [tex]y=388(1.008)^{m}[/tex] represents how much money he has at the end of the month. The monthly interest rate is found in the equation inside the parentheses, 1.008, which means the monthly interest rate is 0.8% (since 1.008 is equal to 1 plus 0.008 or 1 + 0.8/100). To find the annual interest rate, we need to use the compounding formula, which for monthly compounding can be simplified to [tex](1 + monthly interest rate)^{12} - 1[/tex]. so, [tex](1.008)^{12}- 1[/tex] gives an annual rate of approximately 9.96%.

To write an equation representing your total money if you invest $500 in an account with the same rate of return, we use the formula [tex]y = P(1 + r)^{m}[/tex], where P is the principal amount ($500), r is the monthly interest rate (0.008), and m represents the number of months the money has been invested. Therefore, the equation is [tex]y = 500(1.008)^{m}[/tex].

The equation Upper A left parenthesis t right parenthesis equals 2000 e Superscript 0.055 t gives the balance after t years of an initial investment of 2000 dollars which pays 5.50​% compounded continuously. a. Find a formula for StartFraction dA Over dt EndFraction b. Find and interpret Upper A prime left parenthesis 8 right parenthesis. Include appropriate units. c. Compare the approximation of ​$171 to the actual change. Report your answer to two decimal places.

Answers

Answer:

a) Rate of change of amount

[tex]A'(t) =110e^{0.055t}[/tex]

b) &170.79

c) 0.21

Step-by-step explanation:

We are given the following in the question:

The balance is given by the equation:

[tex]A(t) =- 2000e^{0.055t}[/tex]

where t is the time in years and the initial investment is $2000 when compounded continuously.

a) Rate of change of amount

[tex]\dfrac{d(A(t))}{dt} = \dfrac{d}{dt}(2000e^{0.055t})\\\\\dfrac{d(A(t))}{dt} = 2000e^{0.055t}\times 0.055\\\\\dfrac{d(A(t))}{dt} =110e^{0.055t}[/tex]

b) We have to find the value of A'(8)

[tex]A'(t) =110e^{0.055t}\\A'(8) = 110e^{0.055(8)} = 170.79[/tex]

Interpretation:

The future value of 9 year investment of $2000 will be $170.79 more than the future value of 8 year investment.

c) Comparison

Approximation = $171

Actual change = $170.79

Difference =

[tex]\text{Approximation - Actual change}\\=171 - 170.79\\=0.21[/tex]

Thus, the error is 0.21

Final answer:

The formula for dA/dt is 2000(0.055)e^(0.055t). A'(8) is found by substituting t=8 into dA/dt. To compare the approximation of $171 to the actual change, subtract the initial investment from the new balance after 8 years.

Explanation:

a. To find the formula for dA/dt, we differentiate the equation A(t) = 2000e^(0.055t) with respect to t. Using the chain rule, we have dA/dt = 2000(0.055)e^(0.055t).

b. To find A'(8), we substitute t = 8 into the expression for dA/dt. Plugging in the values, we get A'(8) = 2000(0.055)e^(0.055(8)). This will give us the rate of change of the balance after 8 years.

c. To compare the approximation of $171 to the actual change, we subtract the initial investment of $2000 from the new balance after 8 years. The approximation is $171, so the actual change is A(8) - 2000. Plugging in the values, we get A(8) - 2000 = 2000e^(0.055(8)) - 2000.

Learn more about Continuous Compounding here:

https://brainly.com/question/36501885

#SPJ3

Maria received 55% of the vote in a student council election. What decimal and fraction, written in its simplest form, are equivalent to the percentage of the vote maria received

Answers

Answer:

The decimal and fraction equivalent to the percentage of the vote maria received is 0.55 and  [tex]\frac{11}{20}[/tex] .

Step-by-step explanation:

Given:

Maria received 55% of the vote in a student council election.

Now, to find the decimal and fraction of the percentage of the vote maria received.

Percentage of vote Maria received = 55%.

So, the fraction and decimal of the percentage in its simplest form:

[tex]\frac{55}{100}[/tex]

On simplifying it:

[tex]=\frac{11}{20}[/tex].

Thus, the fraction is [tex]\frac{11}{20} .[/tex]

[tex]\frac{11}{20}[/tex]

[tex]=0.55.[/tex]

Hence in the decimal is [tex]0.55.[/tex]

Therefore, the decimal and fraction equivalent to the percentage of the vote maria received is 0.55 and  [tex]\frac{11}{20}[/tex] .

Scores on the Critical Reading part of the SAT exam in a recent year were roughly Normal with mean 496 and standard deviation 115. You choose an SRS of 100 students and average their SAT reading scores. If you do this many times, the mean of the average scores will be close to:_______. A. 115.
B. 115 / square root of 100 = 1.15.
C. 115 / square of 100 = 11.5.

Answers

Answer:

496

Step-by-step explanation:

I am assuming that there are options lacking. The average score, due to the Law Of Big Numbers, using a big enough sample will be close to the mean of the random variable. Thus the mean of the average scores will be close to 496 if the process is done many times.

Final answer:

The mean of the average scores will be close to the population mean of 496.

Explanation:

The mean of the average scores will be close to the population mean, which is 496. The Central Limit Theorem states that as the sample size increases, the sample mean approaches the population mean. In this case, since we are choosing an SRS of 100 students, the mean of the average scores will be close to the population mean of 496.

Learn more about Central Limit Theorem here:

https://brainly.com/question/898534

#SPJ11

One maid can clean the house in 2 hours. Another maid can do the job in 8 hours. How long will it take them to do the job working together?
A 16/6 hr
B 8/5 hr
C 1/10 hr
D 1/16 hr

Answers

Answer: B 8/5 hr

Step-by-step explanation:

One maid can clean the house in 2 hours. This means that the rate at which she cleans the house per hour is 1/2

Another maid can do the job in 8 hours. This means that the rate at which the other maid cleans the house per hour is 1/8

If they work together, they would work simultaneously and their individual rates are additive. This means that their combined working rate would be

1/2 + 1/8 = 5/8

Assuming it takes t hours for both of them to clean the room working together, the working rate per hour would be 1/t. Therefore,

5/8 = 1/t

t = 8/5 hour

Final answer:

Option B is correct. Working together, the two maids can clean the house in 8/5 hours.

Explanation:

Let's assume that the combined rate of both maids working together is x house cleaned per hour. We can set up the equation:

1 maid's rate + another maid's rate = combined rate

1/2 + 1/8 = x

Solving for x:

4/8 + 1/8 = x

5/8 = x

The combined rate of the maids working together is 5/8 house cleaned per hour. To find how long it will take them to clean the house together, we can set up the equation:

(5/8) house per hour = 1 house

Let t be the time it takes them to clean the house together. We can write the equation:

(5/8) * t = 1

Solving for t:

t = 1 / (5/8)

t = 8/5 hours.

Learn more about Working together to complete a task here:

https://brainly.com/question/34743654

#SPJ11

Compute the amount of interest earned in the following simple interest problem A deposit of $1,295 at 7% for 180 days

Answers

Answer: the amount of interest earned is $44.7

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the amount deposited.

P represents the principal or amount deposited.

R represents interest rate

T represents the duration in years.

From the information given,

P = $1295

R = 7%

T = 180 day. Assuming there are 365 days in a year. Converting 180 days to years, it becomes

180/365 = 0.49315 year

Therefore,

I = (1295 × 7 × 0.49315)/100 = $840,

I = $44.7

In a recent study on world​ happiness, participants were asked to evaluate their current lives on a scale from 0 to​ 10, where 0 represents the worst possible life and 10 represents the best possible life. The responses were normally​ distributed, with a mean of 5.3 and a standard deviation of 2.5. Answer parts ​(a)dash​(d) below. ​(a) Find the probability that a randomly selected study​ participant's response was less than 4. The probability that a randomly selected study​ participant's response was less than 4 is nothing. ​(Round to four decimal places as​ needed.)

Answers

Answer:

P ( X < 4 ) = 0.3015

Step-by-step explanation:

Given:

- The ratings for current lives on a scale 0 - 10 were normally distributed with parameters mean (u) and standard deviation (s).

                                   u = 5.3

                                   s = 2.5

Find:

Find the probability that a randomly selected study​ participant's response was less than 4.

Solution:

- Declare a random variable X that follows a normally distribution with parameters u and s, mean and standard deviation respectively.

                                  X~N( 5.3 , 2.5 )

- To determine the probability of the rating to be less than 4 for a randomly selected study participant's response we have:

                                  P ( X < 4 )

- Compute the Z-score value for the limit given:

                                  P ( Z < (4 - 5.3) / 2.5 )

                                  P ( Z < -0.52 )

- Use the Z-Table to calculate the above probability as follows:

                                  P ( Z < -0.52 ) = 0.3015

- Hence, the required probability is equivalent to Z-score value probability:

                                    P ( X < 4 ) = P ( Z < -0.52 ) = 0.3015

                                 

The probability that a randomly selected study participant's response was less than 4 is 0.3015.

To find the probability that a randomly selected study participant's response was less than 4, we can use the properties of the normal distribution. Given that the mean is 5.3 and the standard deviation is 2.5, we can standardize the value 4 using the z-score formula: z = (X - µ) / σ, where X is the value of interest, µ is the mean, and σ is the standard deviation. Once we find the z-score, we look up this value in the standard normal distribution table (Z-table) or use a calculator to find the probability.

Step-by-step calculation:Calculate the z-score for X = 4: z = (4 - 5.3) / 2.5 = -0.52.Look up the z-score in the Z-table or use a calculator to find the probability that Z < -0.52.For a z-score of -0.52, the probability is approximately 0.3015 (found from Z-table or through calculator).

The probability that a randomly selected study participant's response was less than 4 is therefore 0.3015, or 30.15% when converted into percentage form.

Find the value of each variable in the parallelogram

pls help:)​

Answers

Answer:

Step-by-step explanation:

In a parallelogram, the opposite sides are equal and parallel.

Also, consecutive angles in a parallelogram are supplementary. This means that the sum of the consecutive angles is 180 degrees.

Angle 2m and angle n are supplementary angles. Therefore,

2m + n = 180 - - - - - - - - - - - -1

Also, the opposite angle in a parallelogram are equal. This means that

2m = 70

m = 70/2

m = 35 degrees

Substituting m = 35 into equation 1, it becomes

2 × 35 + n = 180

70 + n = 180

n = 180 - 70

n = 110 degrees

The value of m and n are 35 and 110 respectively.

We are given that one of the angles of the parallelogram is [tex]70^\circ[/tex].

Since opposite angles in a parallelogram are supplementary, the angle directly opposite the 70° angle must be [tex]180^\circ -70^\circ = 110^\circ[/tex].

We are also given that one of the non-consecutive interior angles has a measure of 2m°.

Since consecutive interior angles in a parallelogram add up to 180°, the angle next to the 2m° angle must have a measure of 180°- 2m°.

The opposite sides of a parallelogram are congruent.

This means that n° must be congruent to 110°. So, n = 110.

We can now solve for 'm'.

Since the angle next to the 2m° angle must have a measure of 180°−2m° and this angle is also congruent to 110°.

We have the equation: [tex]110^\circ = 180^\circ - 2m^\circ[/tex]

[tex]2m^\circ = 70^\circ[/tex]

[tex]m=35[/tex]

Sin * (x - y) , if sin x = 8/17 cos y = 12/37

Answers

Answer:

-429/629

Step-by-step explanation:

Use angle difference formula:

sin(x − y) = sin x cos y − sin y cos x

Assuming x and y are in the first quadrant:

sin(x − y) = sin x cos y − √(1 − cos²y)√(1 − sin²x)

Plugging in values:

sin(x − y) = (8/17) (12/37) − √(1 − (12/37)²)√(1 − (8/17)²)

sin(x − y) = (8/17) (12/37) − (35/37)(15/17)

sin(x − y) = -429/629

please help me with this question

Answers

Answer:

Step-by-step explanation:

Haven't seen a related rates problem in a while! These are fun!  Not too bad when you keep your stuff organized.  First, label what you've been given.  If the radius is decreasing, then we have

[tex]\frac{dr}{dt}=-.2[/tex]

We are told to find [tex]\frac{dV}{dt}[/tex] when r = 9.

Now we have to find the derivative of the volume of a sphere using implicit differentiation.  The derivative is

[tex]\frac{dV}{dt}=\frac{4}{3}\pi3r^2\frac{dr}{dt}[/tex]

It looks like we have everything we need to solve for the unknown.  The derivative is even already set up to solve for the change in volume.  All we have to do now is plug in the values.

[tex]\frac{dV}{dt}=\frac{4}{3}\pi3(81)(-.2)[/tex]

This does give us a negative number, -203.575 to be exact, but if you answer it without the negative, you say that the volume is decreasing at the rate of 203.575 cm/min cubed

The central limit theorem states that sampling distributions are always the same shape as the population distribution from whence the data came. True or False

Answers

Explanation:

The sample mean is not always equal to the population mean but if we take more and more number of samples from the population then the mean of the sample would become equal to the population mean.

The Central Limit Theorem states that we can have a normal distribution of sample means even if the original population doesn't follow normal distribution, But we have to take a lot of samples.

Suppose a population doesn't follow normal distribution and is very skewed then we can still have sampling distribution that is completely normal if we take a lot of samples.

Tyler has a rectangular garden that measures 10 m wide by 13 m long. He wants to increase the area to 208 m² by increasing the width and length by the same amount. What will be the length (longer dimension) of the new garden? Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

Let x represent the constant amount by which the length and width of the garden is increased.

Tyler has a rectangular garden that measures 10 m wide by 13 m long. He wants to increase the area to 208 m² by increasing the width and length by the same amount. This means that the new length of the garden would be (13 + 2x) cm and the new width of the garden would be (10 + 2x) cm. Therefore,

(13 + 2x)(10 + 2x) = 208

130 + 26x + 20x + 4x² -208 = 0

4x² + 46x - 208 - 130 = 0

4x² + 46x - 78 = 0

Dividing through by 2, it becomes

2x² + 23x - 39 = 0

2x² + 26x - 3x - 39 = 0

2x(x + 13) - 3(x + 13) = 0

2x - 3 = 0 or x + 13 = 0

x = 3/2 or x = - 13

Since the value of x cannot be negative, then

x = 3/2 = 1.5 m

The length of the new garden is

13 + 1.5 = 14.5 m

Faculty members at Lowell Place High School want to determine whether there are enough students to have a Valentine's Day Formal. Eighty-eight of the 200 students said they would attend the Valentine's Day Formal. Construct and interpret a 90% confidence interval for p.

Answers

Answer:

The 90% confidence interval is (0.383,0.497)    

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 200

Number of children that would attend  Valentine's Day Forma, x = 88

[tex]\hat{p} = \dfrac{x}{n} = \dfrac{88}{200} = 0.44[/tex]

90% Confidence interval:

[tex]\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]

[tex]z_{critical}\text{ at}~\alpha_{0.10} = \pm 1.64[/tex]

Putting the values, we get:

[tex]0.44\pm 1.64(\sqrt{\dfrac{0.44(1-0.44)}{200}}) = 0.44\pm 0.057\\\\=(0.383,0.497)[/tex]

Interpretation:

The 90% confidence interval is (0.383,0.497). We are 90% confident that the proportion of children attending Valentine's Day Formal is between 38.3% and 49.7%

The gas tank of Alberto's car holds a total of 42 liters of gas. At the beginning of the week, Alberto's car has 35.8 liters of gasoline in its tank. He uses 28.6 liters of gasoline during the week. Then he completely fills the tank with gas. How many liters of gas does Alberto buy?

Answers

Answer:

34.8 liters

Step-by-step explanation:

He has 35.8 liters.

He uses 28.6 liters.

Now that tanks has 35.8 liters - 28.6 liters = 7.2 liters

The capacity of the tank is 42 liters, and he has only 7.2 liters.

The fill up will be 42 liters - 7.2 liters = 34.8 liters

Answer: he bought 34.8 liters of gas.

Step-by-step explanation:

Let x represent the number of liters of gas that Alberto bought.

At the beginning of the week, Alberto's car has 35.8 liters of gasoline in its tank. He uses 28.6 liters of gasoline during the week. This means that the number of liters of gas left would be

35.8 - 28.6 = 7.2

Then he completely fills the tank with gas. If the gas tank of Alberto's car holds a total of 42 liters of gas., it means that

x + 7.2 = 42

x = 42 - 7.2

x = 34.8 liters

To estimate the average annual expenses of students on books and class materials a sample of size 36 is taken. The sample mean is $850 and the sample standard deviation is $54. A 99% confidence interval for the population mean is:_______.A) $823.72 to $876.28.
B) $832.36 to $867.64.
C) $826.82 to $873.18.
D) $825.48 to $874.52.

Answers

Answer:

its C i think

Step-by-step explanation:

What is the distance between m, a negative number, and 0 on a number line?

Answers

Answer:

It depends on what negative number it is. For example -23 is 23 units or whatever to 0.

Step-by-step explanation:

Use the order of operations to evaluate the expression below.
20+7 • (5-3) = (8-6) - 4

Answers

Answer:

34 = -2

Step-by-step explanation:

20 = 7 x (5-3) = 34

(8-6) - 4 = -2

So the  answer is 34 = -2

Final answer:

The equation 20+7 • (5-3) = (8-6) - 4, when evaluated using the order of operations, gives the result 34 = -2, which indicates that the original equation is not balanced.

Explanation:

Let's evaluate the expression 20+7 • (5-3) = (8-6) - 4 using the order of operations, which can be remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

First, we solve the expressions in parentheses: 7 • (5-3) = 7 • 2 = 14 and  (8-6) - 4 = 2 - 4 = -2.

Then we perform the addition: 20 + 14 = 34. At this point, we have 34 = -2, which is not correct. Therefore, the original equation is not balanced.

Learn more about Order of Operations

https://brainly.com/question/13101102?referrer=searchResults

#SPJ2

Write the quadratic function in standard form.

y=2(x - 3)² +9

Answers

Answer:

y = 2x^2 - 12x + 27

Step-by-step explanation:

Step 1:  Distribute the power

y = 2(x - 3)² + 9

y = 2(x^2 - 6x + 9) + 9

y = 2x^2 - 12x + 18 + 9

y = 2x^2 - 12x + 27

Answer: y = 2x^2 - 12x + 27

The sum of the differences must be zero for any distribution consisting of n observations.

A. True

B. False

Answers

Answer:

false

Step-by-step explanation:

Biking at 10 mph, it takes Kristen 1/2 hour to reach the train station to go to work. Kristen then takes the train to work, and it takes another 1/2 hour for her to get to work when the train travels 28 mph. How far does Kristen travel to work

Answers

Answer: 38 mph

Step-by-step explanation:

Add. 10 plis 28 is 38.

Answer: 19 miles

Step-by-step explanation:

Distance = speed × time

Biking at 10 mph, it takes Kristen 1/2 hour to reach the train station to go to work. This means that the distance covered on her way to the train station is

0.5 × 10 = 5 miles

Kristen then takes the train to work, and it takes another 1/2 hour for her to get to work when the train travels 28 mph. Distance covered by the train is

0.5 × 28 = 14 miles

Therefore, the distance that Kristen travels to work is

14 + 5 = 19 miles

Other Questions
Aluminum is a metallic element with 3 valenceelectrons. What is its oxidation number? Hubert Humbort wants to draw a sample of people in Michigan who own an authentic, imported espresso coffee maker. There is no list of the people, and there is no reason to believe that they know each other. What type of sampling should Hubert use?A) cluster samplingB) snowball samplingC) simple random samplingD) purposive samplingE) accidental sampling Under the all-events test, in addition to specifying that all events to establish the liability must have occurred, the test also provides that the business must be able to determine the amount of the liability with reasonable accuracy.1. True2. False Describe photosynthesis using words that a 5-year-old could understand. In what ways does the restaurant scene in "A Good Man Is Hard to Find" create dramatic irony when the grandmother discusses trustworthiness and how to recognize a "good man"? Suppose you hit a 0.058-kg tennis ball so that the ball then moves with an acceleration of 10 m/s2. If you were to hit a basketball of mass 0.58 kg with the same force, what would the acceleration a of the basketball be? Write seven hundred eighty-six thousandths as a decimal number Compared to intangible resources, in terms of their value, tangible resources are __________ constrained because they are __________ to leverage. Group of answer choices more; harder less; harder less; easier more; easier What two ideological (philosophy) systems are clashing during the Cold War? Imagine that we mate two black Labrador dogs with normal vision and find that three of the puppies are like the parents, but one puppy is chocolate with normal vision and another is black with PRA (progressive retinal atrophy, a serious disease of vision). We can conclude that Variable and absorption costing and breakeven points. Camino, a leading firm in the sports industry, produces basketballs for the consumer market. For the year ended December 31, 2017, Camino sold 400,000 basketballs at an average selling price of $12 per unit. The following information also relates to 2017 (assume constant unit costs and no variances of any kind):Inventory, January 1, 2017: 0 basketballsInventory, December 31, 2017: 20,000 basketballsFixed manufacturing costs: $380,000Fixed administrative costs: $660,000Direct materials costs: $ 3 per basketballDirect labor costs: $ 4 per basketball1. Prepare income statements under (a) variable, (b) absorption, and (c) throughput costing for the year endedDecember 31,2017.2. Calculate the breakeven point (in basketballs sold) in 2017 under:a. Variable costingb. Absorption costingc. Throughput costing3. Suppose direct materials costs were $4 per basketball instead. Assuming all other data are the same, calculate the minimum number of basketballs Camino must have sold in 2017 to attain a target operating income of $120,000 under:a. Variable costingb. Absorption costingc. Throughput costing A recent study examined several variables on collegiate football players, including the variable Years, which is number of years playing football, and the variable Percentile, which gives percentile on a cognitive reaction test. The regression line for predicting Percentile from Years is: Percentile = 102 - 3.34 Years. Singh R, et al., "Relationship of Collegiate Football Experience and Concussion with Hippocampal Volume and Cognitive Outcomes", JAMA, 311(18), 2014. Data values are estimated from information in the paper. Predict the cognitive percentile for someone who has played football for 7 years and for someone who has played football for 16 years. Enter the exact answers. _____ refers to the cooperative learning method that emphasizes the following elements: face-to-face interaction, positive interdependence, individual accountability, and development of interpersonal group skills. A store is having a sale on jelly beans and trail mix. For 6 pounds of jelly beans and 2 pounds of trail mix, the total cost is $20. For 3 pounds of jelly beans and 5 pounds of trail mix, the total cost is $23. Find the cost for each pound of jelly beans and each pound of trail mix. Pleaseeee Helppp !! SHORT ANSWERQuestion 7A friend always cancels plans at the lastminute. Recently, you were waiting forher at the movies when she called to sayshe could not make it.Using "T" statements, how would yourespond to her? Write your answer in atleast 1 to 2 complete sentences.300 word(s) left As early vertebrates transitioned from an aquatic lifestyle to terrestrial habits, major changes in structural and physiological characteristics facilitated their survival and expansion. It is likely that some of these traits are a result of:_________ a) changes in developmentally important genes, as in evo-devo the ability of some cells to incorporate environmental DNA, or eDNA, into its genome b) new Hox genes that reverse some steps in development c) transcription factors that originate outside of the developing embryo d) new interactions between cytoplasmic determinants and the nucleus How many 5-letter words that have the letter 'x' are possible? Letters may be repeated, and the words don't have to be meaningful. (Hint: First count the words without 'x' .) Your answer is: Which situational condition decreases the chances of crimes?A. ethnic heterogeneityB.relative deprivationC.ineffective schoolsOD. installation of security cameras For -3+2y=11 would I add -3 to 11 to find Y, or would I subtract -3 from 11? what is the most complex level of organization in an organism ? Steam Workshop Downloader