On the Red Trail, the distance between point A and point B is 7.3 kilometers. You walked this distance back and forth. What is the distance you walked in meters?

Answer:

Anisha will have approximately $33,417.98 in 15 years with interest compounded annually.

Explanation:

We can use the formula for compound interest:

[tex]\[ A = P \times \left(1 + \frac{r}{n}\right)^{nt} \][/tex]

where:

- [tex]\( A \)[/tex] is the amount of money accumulated after [tex]\( t \)[/tex] years, including interest

- [tex]\( P \)[/tex] is the principal amount (the initial investment)

- [tex]\( r \)[/tex] is the annual interest rate (in decimal)

- [tex]\( n \)[/tex] is the number of times that interest is compounded per year

- [tex]\( t \)[/tex] is the time the money is invested for (in years)

Given:

- [tex]\( P = \$8000 \)[/tex]

- [tex]\( r = 0.10 \)[/tex]  (10% expressed as a decimal)

- [tex]\( n = 1 \)[/tex] (interest compounded annually)

- [tex]\( t = 15 \)[/tex] years

Substitute the values into the formula:

[tex]\[ A = 8000 \times \left(1 + \frac{0.10}{1}\right)^{1 \times 15} \][/tex]

[tex]\[ A = 8000 \times (1 + 0.10)^{15} \][/tex]

[tex]\[ A = 8000 \times (1.10)^{15} \][/tex]

Now, we can calculate:

[tex]\[ A \approx 8000 \times 4.177248 \][/tex]

[tex]\[ A \approx 33417.98 \][/tex]

Answer:

I E I ≤ 0.0522

Step-by-step explanation:

See attached image file

Answer:

12 less than a number s

Step-by-step explanation:

less than means after

Answer:

5

Step-by-step explanation:

We know that FC = 10r - 20 and that DE = 6r. They can make an equation together since they are parallel and congruent. That gives us the equation

10r - 20 = 6r

-20 = -4r

5 = r

OR

10r - 20 = 6r

10 = 6r + 20

4r = 20

r = 5

Either way, you still get the answer of r = 5.

The value of r in the given parallelogram is: D. 5.

A parallelogram has two pairs of sides opposite each other that are congruent to each other.

Thus:

DE = FC (congruent sides)

Substitute

6r = 10r - 20

Combine like terms

6r - 10r = -20

-4r = -20

r = 5

Thus, the value of r in the given parallelogram is: D. 5.

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Answer:

We conclude that there is a difference in seat belt use.

Step-by-step explanation:

We are given that of 1,000 drivers 16-24 years old, 79% said they buckle up, whereas 924 of 1,100 drivers 25-69 years old said they did.

Let [tex]p_1[/tex] = population proportion of drivers 16-24 years old who buckle up .

[tex]p_2[/tex] = population proportion of drivers 25-69 years old who buckle up .

So, Null Hypothesis, [tex]H_0[/tex] : [tex]p_1-p_2[/tex] = 0      {means that there is no significant difference in seat belt use}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]p_1-p_2\neq[/tex] 0      {means that there is a difference in seat belt use}

The test statistics that would be used here Two-sample z proportion statistics;

                     T.S. =  [tex]\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }[/tex]  ~ N(0,1)

where, [tex]\hat p_1[/tex] = sample proportion of drivers 16-24 years old who buckle up = 79%

[tex]\hat p_2[/tex] = sample proportion of drivers 25-69 years old who buckle up = [tex]\frac{924}{1100}[/tex] = 84%

[tex]n_1[/tex] = sample of 16-24 years old drivers = 1000

[tex]n_2[/tex] = sample of 25-69 years old drivers = 1100

So, test statistics  =  [tex]\frac{(0.79-0.84)-(0)}{\sqrt{\frac{0.79(1-0.79)}{1000}+\frac{0.84(1-0.84)}{1100} } }[/tex]  

                              =  -2.946

The value of z test statistics is -2.946.

Since, in the question we are not given with the level of significance so we assume it to be 5%. Now, at 0.05 significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.

Since our test statistics doesn't lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that there is a difference in seat belt use.

Complete Question

Melanie is making necklaces in four different lengths. n each necklace, the ratio of blue beads to orange beads remains the same. How many orange beads will Melanie need for a necklace of 50 beads?

Answer:

Melanie will need a total of 25 orange beads for a necklace of 50 beads

Step-by-step explanation:

Given

Ratio of blue beads to orange beads is the same.

This can be represented as 1:1

Required

Number of orange beads needed for a necklace of 50 beads.

From the given data, we have that the ratio of blue beads to orange beads is the same.

i.e. Blue:Orange = 1:1

To calculate the number of orange beads needed,

First, we have to convert the ratio to fraction.

This is done as follows;

Fraction of orange beads = Ratio of orange beads divided by Total Ratio

Ratio of orange beads  = 1

Total Ratio = 1 + 1 = 2

Hence,

Fraction of orange beads = [tex]\frac{1}{2}[/tex]

This fraction will then be multiplied by the total number of beads to give the number of orange beads needed.

Number of orange beads needed = [tex]\frac{1}{2} * 50[/tex]

Number of orange beads needed = [tex]\frac{50}{2}[/tex]

Number of orange beads needed = [tex]25[/tex]

Hence, Melanie will need a total of 25 orange beads for a necklace of 50 beads

Answer:

the annual rate of inflation r is 0.023

Step-by-step explanation:

Given by the expression:

[tex]r=(\frac{p_2}{p_1})^{1/n}-1[/tex]

The average price of a gallon of milk increased from $0.36 in 1913 to $3.53 in 2013.

Let [tex]p_1 = 0.36[/tex]

[tex]p_2 = 3.53[/tex]

n = 2013 - 1913 = 100

replacing our values into the given equation; then the annual rate of inflation r is as follows:

[tex]r=(\frac{3.53}{0.36})^{1/100}-1[/tex]

r = 0.023

Hence, the annual rate of inflation r is 0.023

The annual rate of inflation for the period 1913 to 2013 is approximately 2.3%.

To find the annual rate of inflation, we use the formula: r = [tex](\frac{p_{2} }{p_{1} } )^{\frac{1}{n} }[/tex] - 1

⇒ p₁ = $0.36 (price in 1913)

⇒ p₂ = $3.53 (price in 2013)

⇒ n = 2013 - 1913 = 100 years

⇒ 3.53 ÷ 0.36 = 9.8056

⇒ [tex]9.8056^{\frac{1}{100} }[/tex] ≈ 1.023

⇒ 1.023 - 1 = 0.023

Thus, the annual rate of inflation r is approximately 0.023, or 2.3% when converted to a percentage.

Complete question:

When the average price of an item increases from p₁ to p₂ over a period of n years, the annual rate of inflation r (in decimal form) is given by r = [tex](\frac{p_{2} }{p_{1} } )^{\frac{1}{n} }[/tex] − 1. The average price of a gallon of milk increased from $0.36 in 1913 to $3.53 in 2013. What was the annual rate of inflation r? Write your answer in decimal form to the nearest thousandth.

Answer:

A. -1.75

Step-by-step explanation:

- means negative, so -1. 1 quarter of 1 would be .25, 2 quarters would be .50, 3 quarters would be .75, and 4 quarters would be 1.0.

Answer:

-1.75

Step-by-step explanation:

i did it earlier

Answer:

the answer is 1

Step-by-step explanation:

bc if you add -50+51 you get 1

Answer:

uno

Step-by-step explanation

51- 50 =1

Answer:

Oxford had the highest variability

Step-by-step explanation:

If you put the numbers in order from greatest to least, and get the range 62,55 and 89,55 you get Oxford as the higher variability with a range of 39

Answer:

B. 2-column table with 5 rows. Column 1 is labeled x with entries 60, 61, 63, 67, 69. Column 2 is labeled y with entries negative 20, 0, 3, 8, 8.

C.On a graph, points form a line with negative slope. One point is outside of the line.

Step-by-step explanation:

Answer:

-3/4

Step-by-step explanation:

(3 - 0)/(1 - 5) =

3/-4 =

-3/4

Answer:

-3/4

Step-by-step explanation:

This question is actually quite easy and can be done through the process of elimination. We are going from x=1 to x=5, so we are going right. We are going from y=3 to y=0, so we are going down. Because we are going down as we move right, the slope must be negative.

The actual equation for slope is:

(y2-y1)/(x2-x1) for (x1, y1), (x2, y2)

Answer:B. 68.25

Step-by-step explanation:

We have been given that Regan sold 14 necklace and made a total of $210. Each necklace cost the same amount. We are asked to find the cost of one necklace.

To find the cost of one necklace, we will divide total cost by total number of necklaces as:

[tex]\text{Cost of one necklace}=\frac{\text{Total cost}}{\text{Total necklaces}}[/tex]

[tex]\text{Cost of one necklace}=\frac{\$210}{14}[/tex]

[tex]\text{Cost of one necklace}=\$15[/tex]

Therefore, the cost of one necklace is $15.

Answer:

A. 20

Step-by-step explanation:

look at this step:

4 : 5 = X : 25

X = 4×25/5 = 100/5 = 20

She can assemble 20 boxes.

1. Create a table

# of Boxes                    Time

4                        =>        5 min

x                        =>       25 min

2. Use the table to cross multiply.

5 · x = 4 · 25

5x = 100

5x/5 = 100/5

x = 20

Answer:

19/40

Step-by-step explanation:

Answer: 19/40

Step-by-step explanation:

We have been given that a right circular cone has a height of 12.2 cm and a base with a circumference of 18.5 cm. We are asked to find the volume of the cone to nearest tenth.

We know that circumference of circle is equal to [tex]2\pi r[/tex].

[tex]2\pi r=18.5[/tex]

[tex]r=\frac{18.5}{2\pi}[/tex]

[tex]r=2.944366[/tex]

Now we will use volume of the cone formula to solve our given problem.

[tex]V=\frac{1}{3}\pi r^2 h[/tex]

[tex]V=\frac{1}{3}\pi (2.944366)^2\cdot (12.2)[/tex]

[tex]V=\frac{1}{3}\pi (8.669291141956)\cdot (12.2)[/tex]

[tex]V=\frac{1}{3}\pi (105.7653519318632)[/tex]

[tex]V=\frac{1}{3}(332.2716526334804752)[/tex]

[tex]V=110.7572175[/tex]

Upon rounding to nearest tenth, we will get:

[tex]V\approx 110.8[/tex]

Therefore, the volume of the given cube would be approximately 110.8 cubic centimeter.

Final answer:

To find the volume of a right circular cone, the base radius is calculated from the circumference, and then the volume is determined using the cone volume formula V = (1/3)πr²h, with the final result being rounded to the nearest tenth. So, [tex]\( V \approx 110.415 \) cm^3[/tex].

Explanation:

To calculate the volume of a right circular cone, we first need to determine the radius of the base which can be found from the circumference. Since the formula for circumference is C = 2πr, where C is the circumference and r is the radius, we can solve for r. For a circumference of 18.5 cm, we have:

18.5 = 2πr => r = 18.5 / (2π)

Now that we have the radius, the volume of the cone can be found using the formula:

V = (1/3)πr²h

Plugging in the radius and height:

V = (1/3) * π * (18.5 / (2π))² * 12.2

After performing the calculation, we can round the result to the nearest tenth to find the volume in cubic centimeters.

Let's calculate it:

1. [tex]\( \frac{18.5}{2\pi} \) \approx \( \frac{18.5}{6.28319} \) \approx 2.942881[/tex]

2. Square the result: [tex]\( (2.942881)^2 \) \approx 8.66347[/tex]

3. Multiply by 12.2: [tex]\( 8.66347 \times 12.2 \)[/tex] ≈ 105.685554

4. Multiply by [tex]\( \frac{1}{3} \) and \( \pi \)[/tex]:

  [tex]\( V = \frac{1}{3} \times \pi \times 105.685554 \)[/tex]

Now, let's calculate \( V \):

[tex]\[ V \approx \frac{1}{3} \times 3.14159 \times 105.685554 \]\[ V \approx \frac{1}{3} \times 3.14159 \times 105.685554 \]\[ V \approx 110.415 \][/tex]

So, [tex]\( V \approx 110.415 \) cm^3[/tex].

Answer: $612.65, $2,567.45, and increase

Step-by-step explanation:

Answer:

✔ $612.65

was withheld specifically for the tax that is used to pay for a healthcare program.

✔ $2,567.45

was withheld for the payroll tax that specifically supports retired and disabled citizens.

If this individual made more money, the amount withheld for Social Security would

✔ increase

.

Answer: 56 degrees

Step-by-step explanation:

We know that angle between b and c is 90 degrees. Because there is a line dividing angles a and b from 124 and c, we also know that each side is 180 degrees (a and b add to 180, and 124 and c add to 180).

124 and c are supplementary angles. We can represent this in an equation to solve for c:

[tex]124 + c = 180\\\\c = 56[/tex]

Answer: C

Step-by-step explanation:

42 x 20 Is 840

The closest to 42 is 41 so the answer is C

The school can buy a maximum of 41 baseball helmets with the available funds, given each helmet costs $20. Moreover, the bat and ball problem is a classic example of a common misconception; the ball actually costs $0.05, not $0.10.

The question asks for the maximum number of helmets a school can buy with less than $840, given each helmet costs $20. This is expressed by the inequality 20c < 840. To find c, the maximum number of helmets, we divide both sides of the inequality by 20:

c < 840 / 20

⇒ c < 42

This means the school can buy a maximum of 41 helmets, as c must be less than 42 and we can only buy whole numbers of helmets.

The student also asked a seemingly unrelated question about the cost of a bat and a ball together totaling $1.10, with the bat costing $1.00 more than the ball. Correctly solving this puzzle requires setting up an equation where x represents the cost of the ball: x + (x + 1.00) = 1.10. Simplifying and solving for x reveals that the ball costs $0.05 and the bat costs $1.05, totaling $1.10 as stated.

Answer:

The 95% confidence interval for the average credit score is between 697.675 and 802.325

Step-by-step explanation:

We are in posession of the sample standard deviation, so the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 20 - 1 = 19

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.093

The margin of error is:

M = T*s = 2.093*25 = 52.325

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 750 - 52.325 = 697.675

The upper end of the interval is the sample mean added to M. So it is 750 - 52.325 = 802.325

The 95% confidence interval for the average credit score is between 697.675 and 802.325

The 95% confidence interval for the average credit score given the sample mean of 750, standard deviation of 25 and sample size of 20 is from 741.28 to 758.72.

To calculate a 95% confidence interval for the given information, we can use the formula: x ± Z * (s / √n), where x is the sample mean, Z is the Z-score for a 95% confidence interval, s is the standard deviation, and n is the size of the sample.

Here, the sample mean (x) is 750, the sample standard deviation (s) is 25, the Z-score for a 95% confidence interval is approximately 1.96, and the number of mortgages in the sample (n) is 20.

By plugging in these values into the formula, we get:750 ± 1.96 * (25/√20), which equals 750 ± 8.72.

Therefore, the 95% confidence interval for the average credit score is from 741.28 to 758.72.

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Answer:

The expected amount earned by a waitress per evening is $95.83.

Step-by-step explanation:

At a local restaurant there are six rooms total; 1 is a "high roller" room and other 5 are normal rooms.

There are 6 waitresses working at the local restaurant.

The room assignments are made by fair random selection such that each waitress has an equal probability of being in the "high roller" room.

This implies that a waitress can be assigned any of the six rooms with probability, [tex]\frac{1}{6}[/tex].

The tip earned by the waitress working in the "high roller" room is $200 and that for other rooms is $75.

So, the distribution of tips earned is as follows:

    X: $200    $75    $75    $75    $75    $75

P (X):     [tex]\frac{1}{6}[/tex]          [tex]\frac{1}{6}[/tex]         [tex]\frac{1}{6}[/tex]          [tex]\frac{1}{6}[/tex]         [tex]\frac{1}{6}[/tex]         [tex]\frac{1}{6}[/tex]

The expected value of a random variable is given by:

[tex]E(X)=\sum x\cdot P (X)[/tex]

Compute the expected amount earned by a waitress per evening as follows:

[tex]E(X)=\sum x\cdot P (X)[/tex]

         [tex]=(200\times \frac{1}{6})+(75\times \frac{5}{6})\\\\=\frac{575}{6}\\\\=95.8333\\\\\approx 95.83[/tex]

Thus, the expected amount earned by a waitress per evening is $95.83.

Final answer:

Using the probabilities of being in different rooms and their respective tips, a waitress can expect to make on average approximately $95.83 per evening at this restaurant.

Explanation:

To calculate the average amount a waitress can expect to make per evening, we need to consider the probabilities of the waitress being assigned to the "high roller" room or any other room. Since there are six rooms and assignments are made randomly, each waitress has a 1 in 6 chance of being in the high roller room. Otherwise, she has a 5 in 6 chance of being in a room with a lower tip rate.

We calculate the expected earnings for each scenario and then find the combined average. The expected earnings in the high roller room is $200, while the expected earnings in the other rooms is $75. Using the formula for expected value (EV), we get:

EV = (Probability of High Roller Room) x (Tips in High Roller Room) + (Probability of Other Rooms) x (Tips in Other Rooms)

EV = (1/6) x $200 + (5/6) x $75

EV = $33.33 + $62.50

EV = $95.83

So, on average, a waitress can expect to make approximately $95.83 per evening.

Answer:

-2.85

Step-by-step explanation:

I looked it up tbh

Answer:

-2.85

Step-by-step explanation:

Google it or Edge it or Firefox it

Step-by-step explanation:

the equivalent of 3/8 is 6/16

Answer:

[tex]\frac{6}{16} = \frac{9}{24} =\frac{12}{32} =\frac{15}{40}[/tex]

Step-by-step explanation:

There are infinitely many equivalent fractions of [tex]\frac{3}{8}[/tex] but here are a few:

[tex]\frac{6}{16} = \frac{9}{24} =\frac{12}{32} =\frac{15}{40}[/tex]

Answer:

3.8

Step-by-step explanation:

a=3.79 or 3.8km

√(9.4^2 - 8.6^2)

Answer: p*$4 + d*$3 ≥ $24

Step-by-step explanation:

The price P of popcorn is P = $4, the pricec of a drink is D = $3

He only has $24

The equation that represents the number of popcorns and drinks he can buy us:

p*$4 + d*$3 ≥ $24

This means that the maximum amount of money he can spend is $24.

In this equation you can give the value of p or d, and then find the maximum possible value for the other variable.

Answer:

35

Step-by-step explanation:

The way I know is because I memorized every square up to 33.

BUT that's probably not helpful to you.

Remember that every perfect square has an odd number of factors. I'm not going to list them all out, but the factors of 35 are 1, 5, 7, and 35, giving it an even number of factors. All the rest have an odd number of factors because of the property of a perfect square: a number times itself gives a perfect square, but that number only counts as 1 factor.

Answer:

25

Step-by-step explanation:

Answer:

[tex]z=\frac{87.8-90.1}{\frac{17.3}{\sqrt{38}}}=-0.820[/tex]  

The p value for this case would be given by:

[tex]p_v =2*P(z<-0.820)=0.412[/tex]  

Since the p value is very high ant any significance level we will have enough evidence to FAIL to reject the null hypothesis, so then we can conclude that the true mean is not significantly different from 90.1 and the method not shows a significantly effect in the scores.

Step-by-step explanation:

Information provided

[tex]\bar X=87.8[/tex] represent the sample mean for the scores on the standardized test in the general population of 6th graders    

[tex]\sigma=17.3[/tex] represent the population standard deviation

[tex]n=38[/tex] sample size  

[tex]\mu_o =90.1[/tex] represent the value that we want to verify

z would represent the statistic

[tex]p_v[/tex] represent the p value for the test

System of hypothesis

We want to verify if the new teaching method negatively affects reading comprehension scores, so then the system of hypothesis for this case are:

Null hypothesis:[tex]\mu =90.1[/tex]  

Alternative hypothesis:[tex]\mu \neq 90.1[/tex]  

Since we know the population deviation the statistic would be:

[tex]z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}[/tex] (1)  

Replacing the info given we got:

[tex]z=\frac{87.8-90.1}{\frac{17.3}{\sqrt{38}}}=-0.820[/tex]  

The p value for this case would be given by:

[tex]p_v =2*P(z<-0.820)=0.412[/tex]  

Since the p value is very high ant any significance level we will have enough evidence to FAIL to reject the null hypothesis, so then we can conclude that the true mean is not significantly different from 90.1 and the method not shows a significantly effect in the scores.

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 90.1

For the alternative hypothesis,

µ < 90.1

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 90.1

x = 87.8

σ = 17.3

n = 38

z = (87.8 - 90.1)/(17.3/√38) = - 0.82

Looking at the normal distribution table, the probability corresponding to the z score is 0.21

Assume significant level = 0.05

Since alpha, 0.05 < than the p value, 0.21, then we would fail to reject the null hypothesis. Therefore, At a 5% level of significance, there is not enough evidence to conclude that the new teaching method negatively affects reading comprehension scores.

Answer:

False

Step-by-step explanation:

Trapizoids may have one pair of parallel sides, but parrallelograms must have 2 parallel pairs of sides.

False, all quadrilaterals are not parallelograms.

A four-sided polygon with four edges and four corners is known as a quadrilateral.

A parallelogram is a basic quadrilateral with two parallel sides.

Because the opposite sides of a kite are not always parallel, not every kite is a parallelogram.

False, all quadrilaterals are not parallelograms.

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Answer:

[tex]z=\frac{0.667 -0.5}{\sqrt{\frac{0.5(1-0.5)}{165}}}=4.29[/tex]  

The p value for this case is given by:

[tex]p_v =P(z>4.29)=8.93x10^{-6}[/tex]  

Since the p value is lower than the significance level we have enough evidence to conclude that the true proportion is significantly higher than 0.5 at 5% of significance.

Step-by-step explanation:

Information given

n=165 represent the random sample selected

55 represent the students indicated a belief that such software unfairly targets students

X =165-55= 110 represent students who NOT belief that such software unfairly targets students

[tex]\hat p=\frac{110}{165}=0.667[/tex] estimated proportion of  students who NOT belief that such software unfairly targets students

[tex]p_o=0.5[/tex] is the value that we want to check

[tex]\alpha=0.05[/tex] represent the significance level

z would represent the statistic

[tex]p_v[/tex] represent the p value

System of hypothesis

We want to check if the majority of students at the university do not believe that it unfairly targets them, and the system of hypothesis are:

Null hypothesis:[tex]p\leq 0.5[/tex]  

Alternative hypothesis:[tex]p > 0.5[/tex]  

The statistic for this case is given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

After replace we got:

[tex]z=\frac{0.667 -0.5}{\sqrt{\frac{0.5(1-0.5)}{165}}}=4.29[/tex]  

The p value for this case is given by:

[tex]p_v =P(z>4.29)=8.93x10^{-6}[/tex]  

Since the p value is lower than the significance level we have enough evidence to conclude that the true proportion is significantly higher than 0.5 at 5% of significance.