Grades on a standardized test are known to have a mean of 1000 for students in the US. The test is administered to 453 randomly selected students from Queens College, and they obtained an average grade of 1013 and a standard deviation of 108. a. Construct a 95 % confidence interval for the true average test score for Queens College students. b. With 5% significance level, Is there a statistical evidence that Queens College students perform differently than other students in the US? The same 453 students selected earlier are now given a two-hour tutoring session and then asked to take the test a second time. The average change in their test scores is 9 points, and the standard deviation of the change is 60 points. Assume the changes are from a Normal distribution. c. You are asked by the school administration to study whether students have performed better in their second attempt. State in terms of , the relevant null and alternative hypothesis in conducting this study. d. Compute the t statistic for testing against ; obtain the p- value for the test. e. Do you reject at the 5% level? At the 1% level? f. Provide a short summary of your conclusions from this study. Comment on the practical versus statistical significance of this estimate.

Answer:

I believe the answer is A. 17, 17, 13, 28, 28, 26, 37, 35

The answer is C.

The stem, shows the number before the decimal point. The higher the number, the longer the stem goes down.

The leaf, shows the number after the decimal point. Each leaf is added to a row to match the stem of the original number.

1.3, 1.7, 1.7 all have a "1" before the decimal so they all go in the same row like this:

1 | 3 7 7

If we keep doing this, we see that C is the correct answer.

Best of Luck!

Answer:

6387 km

Step-by-step explanation:

6378 km -9.4 km =

6386.6 km

Round to the nearest tenth: 63787 km

Hope I helped, sorry if not tho

Answer:

the answer is 60

Step-by-step explanation:

Answer:

Step-by-step explanation:

dimes only cannot give total ending in 5 cents

so theres at least 1 nickel

n by the same reason, no.of nickels must be odd no.

most nickels is 0.65/0.05=13

combining the above, ans is D. (1,3,5,7,9,11,13)

Answer:

The Answer Is D (1,3,5,7,9,11,13)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The compound interest formula is [tex]A = P (1+r/n)^nt[/tex] where:

Substitute a value into each variable to solve.

[tex]A = P (1+r/n)^{nt}\\A = 147(1 + \frac{0.035}{12})^{12*25}\\A = 147 ( 1 + 0.002916)^{300}\\A = 147(1.002916)^{300}\\A = 352.19[/tex]

Repeat this process for each formula.

Answer:

B. $352.12

B. $9,126.53

D. $123,866.02

Step-by-step explanation:

Hope this helps! Have an awesome day/night!

The value of y for the equation [tex]xy + p = 5[/tex].

An equation is a statement of equality between two mathematical expressions containing one or more variables.

According to the given question.

We have a equation

[tex]xy + p = 5[/tex]

Solve the above the equation for y

[tex]xy +p - p = 5 -p[/tex]           ( subtracting p both the sides)

[tex]\implies xy = 5-p[/tex]

[tex]\implies \frac{xy}{x} = \frac{5-p}{x}[/tex]                         (dividing both the sides by x)

[tex]\implies y = \frac{5-p}{x}[/tex]

Therefore, the value of y for the equation [tex]xy + p = 5[/tex].

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Answer:

11 pt  

Step-by-step explanation:

Convert all volumes to pints

Starting volume

2 gal × 4 qt/1 gal = 8 qt

 8 qt × 2 pt/1 qt  = 16 pt

Breakfast

1 qt × 2 pt/1 qt     =   2 pt

Stating volume = 16 pt

Less breakfast = -2 pt

Less lunch        = -3 pt

After lunch       = 11 pt

The Garcia family had 11 pt of milk left after lunch.

ANSWER

[tex]f(x) = (x -7)(x - 5) {(x - 5)}(x + 2)[/tex]

EXPLANATION

If the polynomial has a root -2, with multiplicity 1, then (x+2) is a factor.

If the polynomial has root, 7 with multiplicity 1, then (x-7) is a factor.

If the polynomial has root 5, with multiplicity 2, then (x-5)² is a factor of the polynomial.

The fully factored form of the polynomial is

[tex]f(x) =a (x + 2)(x - 7) {(x - 5)}^{2} [/tex]

It was given that the polynomial has a leading coefficient of 1.

Hence a=1.

This implies that,

[tex]f(x) =(x + 2)(x - 7) {(x - 5)}^{2}[/tex]

Or

[tex]f(x) = (x -7)(x - 5) {(x - 5)}(x + 2)[/tex]

Answer:

f(x) = (x -7)(x - 5) {(x - 5)}(x + 2) the answer is D

Step-by-step explanation:

Answer:

the answer is 11 dollars

Step-by-step explanation:

Answer:

11 dollars

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

3^2+(6-2)•4-6/3

Order of operations:

= 9 + (4)•4 - 6/3

= 9 + 16 - 2

= 25 -2

= 23

32+(6−2)(4)− 6/3

your answer is =23

32+(6−2)(4)− 6/3

=9+(6−2)(4)− 6/3

=9+(4)(4)− 6/3

=9+16− 6/3

=25− 6/3

=25−2

=23

Answer:

The perimeter of a circle can be found by using the followinfg expression

P = 2*π*r

where

π = 3.14

r  = radius of the circle = half the diameter of the circle

In this case, if we are given the radius, we use

P = 2*π*r

If we are given the diameter, we use

P = 2*π*(D/2) = π*D

1) 27in

radius = 27in

P = 2*(3.14)*(27 in) = 169.56 in

diameter = 27 in

P = (3.14)*(27 in) = 84.78 in

2) 79 in

radius = 79 in

P = 2*(3.14)*(79 in) = 496.12 in

diameter = 79 in

P = (3.14)*(79 in) = 248.06 in

3) 1809 in

radius = 1809 in

P = 2*(3.14)*(1809 in) = 11360.52 in

diameter = 1809 in

P = (3.14)*(1809 in) = 5680.26 in

4) 152 in

radius = 152 in

P = 2*(3.14)*(152 in) = 954.56 in

diameter = 152 in

P = (3.14)*(152 in) = 477.28 in

Answer:

no

Step-by-step explanation:

Answer:

its going to be d

Step-by-step explanation:

Answer:

The correct option is B.

Step-by-step explanation:

The general exponential regression model is

[tex]y=ab^x[/tex]

Using regression tool the exponential regression model for the given data is

[tex]S(x)=449.9999(1.09999)^x[/tex]

[tex]S(x)=450(1.1)^x[/tex]

The value of function at x=9 is

[tex]S(9)=450(1.1)^9=1061.07646[/tex]

The value of function at x=11 is

[tex]S(11)=450(1.1)^{11}=1283.90252[/tex]

The average rate of change of the company's sales turnover, in millions of dollars, over the interval [9, 11] is

[tex]m=\frac{S(11)-S(9)}{11-9}[/tex]

[tex]m=\frac{1283.90252-1061.07646-}{2}=111.413\approx 11.42[/tex]

The average rate of change of the company's sales turnover, in millions of dollars, over the interval [9, 11] is 11.42. Therefore the correct option is B.

Answer:

Step-by-step explanation:

Eliminating parentheses, you get ...

  -2bx +10 = 16

Subtract 10 and divide by -2b:

  x = 6/(-2b)

  x = -3/b

__

When b=3, you have ...

  x = -3/3

  x = -1

Answer:

0.0322; 0.9929

Step-by-step explanation:

Since the data is normally distributed, we use z scores for these probabilities.

The formula for a z score of a sample mean is

[tex]z=\frac{\bar{X}-\mu}{\sigma \div \sqrt{n}}[/tex]

For the sample of mildly obese people, the mean, μ, is 371; the standard deviation, σ, is 65; and the sample size, n, is 6.

Using 420 for X,

z = (420-371)/(65÷√6) = 49/(65÷2.4495) = 49/26.5360 ≈ 1.85

Using a z table, we see that the area under the curve to the left of this is 0.9678.  However, we want the area to the right, so we subtract from 1:

1-0.9678 = 0.0322

For the sample of lean people, the mean, μ, is 528; the standard deviation, σ, is 108; the sample size, n, is 6.

Using 420 for X, we have

z = (420-528)/(108÷√6) = -108/(108÷2.4495) = -108/44.0906 ≈ -2.45

Using a z table, we see that the area under the curve to the left of this is 0.0071.  We want the area under the curve to the right, so we subtract from 1:

1-0.0071 = 0.9929

The probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes is about 3.2%. For the 6 lean people, this probability is approximately 0.7%.

For this type of problems, we use the concept of z-scores in statistics. The z-score is a measure of how many standard deviations a data point is from the mean. In this case, we will first calculate the standard error by dividing the standard deviation by the square root of sample size and then find the z-score by dividing the value of interest (420 minutes) minus mean by the standard error.

For mildly obese people, mean = 371 min, standard deviation = 65 min, sample size = 6. So, standard error = 65/sqrt(6) ≈26.51. The z-score for 420 min = (420-371)/ 26.51 ≈1.85. This indicates 420 minutes is 1.85 standard deviations above the mean. The probability that z-score exceeds 1.85 (assuming a one-tailed test since we are looking for the mean to be more than 420 minutes) is 0.032 (approximately). Hence, the probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes is about 0.032 or 3.2%.

For lean people, mean = 528 min, standard deviation = 108 min, sample size = 6. Using the same approach, standard error = 44.11. The z-score for 420 min = (420-528)/44.11 ≈-2.45. This indicates 420 minutes is 2.45 standard deviations below the mean. The probability that z-score is less than -2.45 (assuming a one-tailed test for under 420 minutes) will be more than 99%. The probability that z-score exceeds -2.45 (420 min or more time) is about 1 - 0.993 = 0.007. Hence, the probability that the mean number of minutes of daily activity of the 6 lean people exceeds 420 minutes is about 0.007 or 0.7%.

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Answer:

A

Step-by-step explanation:

Federal law regulates a consumer's liability for fraudulent charges. Is what I got.

Answer:

A. Federal law regulates a consumer's liability for fraudulent charges.

Step-by-step explanation:

Under FCBA rules if a client reports about the lost cred card befor eit is used by someone else then the owner of the card is not responsible for any charges.  As per the rule Card holders liability for unauthorised use of their credit card ends at $50. FCBA is a federal law that was framed in 1974 and allows us to dispute charges and temporarily withhold payment without affecting credit score. It is because of FCBA that she would not be charges more than fifty dollars.

Answer:

7x - 5 = 11

Step-by-step explanation:

To solve for x, substitute y = -5 into the equation 7x + y = 11.

This becomes 7x + (-5) = 11 or 7x - 5 = 11.

c. 25 because she gets $25 per hour

[tex]f(x)=3x^2-4x+1[/tex] is a polynomial and thus continuous everywhere and differentiable on any open interval. (second option)

The MVT then guarantees the existence of [tex]c\in(0,2)[/tex] such that

[tex]f'(c)=\dfrac{f(2)-f(0)}{2-0}=\dfrac{5-1}2=2[/tex]

We have

[tex]f'(x)=6x-4[/tex]

so

[tex]6c-4=2\implies6c=6\implies c=1[/tex]

The true statement is: (b) Yes, f is continuous on [0, 2] and differentiable on (0, 2) since polynomials are continuous and differentiable

Mean value theorem states that:

If [tex]\mathbf{f(x)\ is\ continuous}[/tex] [a,b] and

[tex]\mathbf{f(x)\ is\ differentiable}[/tex] on (a,b),

Then there is a point c in (a,b), such that: [tex]\mathbf{f'(c) = \frac{f(b) - f(a)}{b - a}}[/tex]

The function is given as:

[tex]\mathbf{f(x) = 3x^2 - 4x + 1}[/tex]

And the interval is: [tex]\mathbf{[0,2]}[/tex]

We have

[tex]\mathbf{f'(c) = \frac{f(b) - f(a)}{b - a}}[/tex]

This becomes

[tex]\mathbf{f'(c) = \frac{f(2) - f(0)}{2 - 0}}[/tex]

[tex]\mathbf{f'(c) = \frac{f(2) - f(0)}{2}}[/tex]

Calculate f(2) and f(0)

[tex]\mathbf{f(2) = 3\times 2^2 - 4\times 2 + 1 = 5}[/tex]

[tex]\mathbf{f(0) = 3\times 0^2 - 4\times 0 + 1 = 1}[/tex]

So, we have:

[tex]\mathbf{f'(c) = \frac{5-1}{2}}[/tex]

[tex]\mathbf{f'(c) = \frac{4}{2}}[/tex]

[tex]\mathbf{f'(c) = 2}[/tex]

Recall that:

[tex]\mathbf{f(x) = 3x^2 - 4x + 1}[/tex]

Differentiate

[tex]\mathbf{f'(x)= 6x - 4}[/tex]

Substitute c for x

[tex]\mathbf{f'(c)= 6c - 4}[/tex]

Substitute 2 for f'(c)

[tex]\mathbf{ 6c - 4 = 2}[/tex]

Collect like terms

[tex]\mathbf{ 6c = 4 + 2}[/tex]

[tex]\mathbf{ 6c = 6}[/tex]

Divide both sides by 6

[tex]\mathbf{c = 1}[/tex]

The interval is given as: [0,2]

The value of c is true for interval (0,2).

Hence, the true statement is:

(b) Yes, f is continuous on [0, 2] and differentiable on (0, 2) since polynomials are continuous and differentiable

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Answer:

63%

Step-by-step explanation:

This is a problem of conditional probability.

The two events that are given are:

We have to find the probability of being stuck in the snow AND requiring a tow truck which can be given as P(S and T)

We are also given the conditional probability, which is P(T | S) = 90% = 0.90

Using the given formula for our case we can modify the formula as:

[tex]P(T|S)=\frac{P(S \cap T)}{P(S)}[/tex]

[tex]0.90=\frac{P(S \cap T)}{0.70}\\\\ P(S \cap T)=0.90 \times 0.70\\\\ P(S \cap T)=0.63[/tex]

Therefore, there is 63% (0.63) chance that you will get stuck in the snow with your car AND require a tow truck to pull you out

The probability of getting stuck in the snow and requiring a tow truck is found by multiplying the individual probabilities, resulting in a 63% chance.

The question asks for the probability that you will get stuck in the snow with your car AND require a tow truck to pull you out. To calculate this combined probability (P(A AND B)), we use the rule of multiplication for dependent events, which states P(A AND B) =[tex]P(B|A) imes P(A).[/tex] Here, P(A) is the probability of getting stuck in the snow, and P(B|A) is the probability of requiring a tow truck given that you are stuck.

In numbers, this becomes P(A AND B) = [tex]0.90 imes 0.70 = 0.63 or 63%[/tex]. Therefore, the chance that you will get stuck in the snow and require a tow truck to pull you out is 63%.

Answer:

that is a true statment.

20 - 3n = -3n + 20

Step-by-step explanation:

add the numbers, collect the like terms.

Using the normal distribution, it is found that:

a) The percentage of men who can fit without bending is 0.02​%.

b) A very small percentage of people can fit through the door, thus the dimensions are not adequate. Possible, the engineers did not design a large door because of engineering constraints.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Item a:

The proportion is the p-value of Z when X = 55.9, thus:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{55.9 - 69.7}{3.6}[/tex]

[tex]Z = -3.83[/tex]

[tex]Z = -3.8[/tex] has a p-value of 0.0002.

0.0002 x 100% = 0.02%

The percentage of men who can fit without bending is 0.02​%.

Item b:

A very small percentage of people can fit through the door, thus the dimensions are not adequate. Possible, the engineers did not design a large door because of engineering constraints.

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Answer:

5.1 days

Step-by-step explanation:

Given in the question,

initial amount of substance = 34 grams

k-value = 0.137

To find the half life of this substance we will use following formula

[tex]N(0)/2 = N(0)e^{-kt}[/tex]

here N(0) is initial amount of substance

        t is time in days

Plug values in the formula

[tex]34 /2 = 34e^{-0.137t}[/tex]

1/2 = e^{-0.137t}

Take logarithm on both sides

ln(1/2) = ln( e^{-0.137t})

ln(1/2) = -0.137t

t = ln(1/2) / -0.137

t = 5.059

t ≈ 5.1 days (nearest to tenths)

Answer:

The probability that the answer is an even number is 50%.

Step-by-step explanation:

There are 8 terms: 8, 9, 10, 11, 12, 13, 14, 15. Even numbers: 8, 10, 12, 14. So, 4 out of the 8 terms are even, which is equivalent to 50%.

The probability that the number is an even number is 1/2.

The probability is defined as the ratio of number of favourable outcomes and the the total number of possible outcome.

A number from 8 to 15 is drawn at random.

The number between 8 to 15 are 8, 9, 10, 11, 12, 13, 14, 15 = 8

Total even number = 8, 10, 12, 14 = 4

The probability that the number is an even number is;

[tex]\rm Probability =\dfrac{Total \ even \ number}{Total \ number}\\\\Probability =\dfrac{4}{8}\\\\Probability =\dfrac{1}{2}[/tex]

Hence, the probability that the number is an even number is 1/2.

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Answer:

$255.50

Step-by-step explanation:

✯Hello✯

↪  Alright so the item is originally 365 dollars

↪  you have to work out 30% of this which is 109.50

↪  then do 365- 109.50

↪  thats $255.50

❤Gianna❤

To answer this we must know BIDMAS

Brackets) Let's do 8-6 as (2*3 is 6 as we substitute X with 3) and that gives us 2

Indices) Let's do 2 square which gives 4

Addition) Then finally add 4 to 4 giving us 8

The answer is 8

See the attached picture:

5/8=expression is equivalent to

5 8

my mom tell me this its E oksy

Answer:

90 square cm.

Step-by-step explanation:

For similar figures, the length of corresponding sides are proportional.

So we can write 4k = 6 where k is the proportionality constant.

Note: In terms of area, the scale factor would be k^2 and in terms of volume, it would be k^3y

Solving 4k = 6, we see that k = 6/4 or 3/2

We need area, so we multiply area of ABC by k^2 to get area of PQR.

[tex]40(\frac{3}{2})^2\\=40(\frac{9}{4})\\=90[/tex]

Area of PQR = 90 cm^2

Answer:

The area of △PQR is [tex]90\ cm^{2}[/tex]

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

so

Let

z-----> the scale factor

x---> the corresponding side triangle PQR

y---> the corresponding side triangle ABC

[tex]z=\frac{x}{y}[/tex]

substitute the values

[tex]z=\frac{6}{4}=1.5[/tex]

step 2

Find the area of triangle PQR

we know that

If two figures are similar, then the ratio of its areas  is equal to the scale factor squared

so

Let

z-----> the scale factor

x---> the area of triangle PQR

y---> the area of triangle ABC

[tex]z^{2} =\frac{x}{y}[/tex]

we have

[tex]z=1.5[/tex]

[tex]y=40\ cm^{2}[/tex]

substitute the values

[tex]1.5^{2} =\frac{x}{40}[/tex]

[tex]x=40(1.5^{2})=90\ cm^{2}[/tex]

Answer:

C

Step-by-step explanation:

The range is the set of ALLOWED y-values of the function (graph). Also, the range is the y-values for which the function is defined.

Looking at the graph, we see that the graph is defined between y = 1 and y = 7. So the range is  1 ≤ y ≤ 7

the correct answer is C

Answer:

Just B and C

Step-by-step explanation:

Reduce this to the lowest amount possible.

log(3abc/6a^2b) = 2

=================

log(c/2a)  = 2

c/2a = 10^2

c = 2a * 100

c = 200a

This one is also correct.

=================

The rest are just incorrect.

There is only 1 answer that works and that is B.

C is close, but it is not correct.

D is backwards. B is the right way and D is the upside down of B.

E and F are just not the way to handle logs. Subtracting logs means division, not multiplication and not 1 log.

=================