Ask question

Ask question

All categories

3 years ago

13

Kevin is participating in a walkathon to raise money for local literacy programs. The farther Kevin walks, the more money he wil

l raise.
d = the distance Kevin walks
m = the amount of money Kevin will raise

Which of the variables is independent and which is dependent?

1 answer:

natali 33 [55]3 years ago

3 0

The independent variable is the distance that he walks and the dependent variable is the amount of money that he raises

You might be interested in

Simplify the polynomial expressions by combining like terms, and then multiply the resulting

dimaraw [331]

Answer:

The simplified expression is

20x^2 - 33x - 27

Step-by-step explanation:

(6x - 9 - 2x)(8 + 5x - 5)

We must first rewrite the expression as a product of two binomials.

This can be done by adding like terms

(6x - 9 - 2x)(8 + 5x - 5)

We have,

(4x-9)(5x+3)

Multiplying the resulting binomial expression

(4x-9)(5x+3)

(20x^2+12x-45x-27)

Add the like terms

20x^2-33x-27

The simplified expression is

20x^2 - 33x - 27

Twenty x squared minus thirty-three x minus twenty-seven

6 0

3 years ago

Kyle and Michael run a lap around a track. Kyle gets a 50 meter head start and runs 3 meters per second. Michael runs at a speed

DanielleElmas [232]

First, you need to put both equations in slope intercept form

Kyle: y=3x+50, because he runs 3 meters/second and he gets a 50 meter head start

Michael: y=4x

I think the answer would be 50 seconds

hope this helps

4 0

3 years ago

Read 2 more answers

Please help, what’s the perimeter? I got the answer wrong I need the correct answer, A, C, or D?

balandron [24]

The answer is C. The square root of 83 is about 9.1. Because a square has four sides, you multiply 9.1 by 4 to get 36.4. The product rounds to the nearest whole number at 36.

8 0

3 years ago

A sample of 16 ATM transactions shows a mean transaction time of 67 seconds with a standard deviation of 12 seconds. Find the te

vredina [299]

Answer:

b. 2.333

Step-by-step explanation:

Test if the mean transaction time exceeds 60 seconds.

At the null hypothesis, we test if the mean transaction time is of 60 seconds, that is:

$H_0: \mu = 60$

At the alternate hypothesis, we test if it exceeds, that is:

$H_1: \mu > 60$

The test statistic is:

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

60 is tested at the null hypothesis:

This means that $\mu = 60$

A sample of 16 ATM transactions shows a mean transaction time of 67 seconds with a standard deviation of 12 seconds.

This means that $n = 16, X = 67, s = 12$

Value of the test statistic:

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{67 - 60}{\frac{12}{\sqrt{16}}}$

$t = \frac{7}{3}$

$t = 2.333$

Thus, the correct answer is given by option b.

5 0

3 years ago

The 2003 Statistical Abstract of the United States reported the percentage of people years of age and older who smoke. Suppose t

Paul [167]

Complete Question

The 2003 Statistical Abstract of the United States reported the percentage of people 18 years of age and older who smoke. Suppose that a study designed to collect new data on smokers and non smokers uses a preliminary estimate of the proportion who smoke of 0.30.

a. How large a sample should be taken to estimate the proportion of smokers in the population with a margin of error of 0.02? use 95% confidence.

b. Assume that the study uses your sample size recommendation in part (a) and finds 520 smokers. What is the point estimate of the proportion of smokers in the population?

c. What is the 95% confidence interval for the proportion of smokers in the population?

Answer:

a

$n = 2017$

b

$\^ p = 0.2578$

c

$0.238 < 0.278$

Step-by-step explanation:

Considering question a

From the question we are told that

The margin of error is $E = 0.02$

The preliminary estimate of the proportion who smoke is $p = 0.30$

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the sample size is mathematically represented as

$n = [ \frac{Z_{\frac{\alpha }{2} } }{E} ] ^2 * p(1 - p )$

=> $n = [ \frac{1.96 }{0.02} ] ^2 * 0.30(1 - 0.30 )$

=> $n = 2017$

Considering question b

From the question we are told that

The number of smokers is k = 520

Generally the point estimate of the proportion of smokers in the population is mathematically represented as

$\^ p = \frac{520 }{2017 }$

=> $\^ p = 0.2578$

Considering question c

Generally 95% confidence interval is mathematically represented as

$\^ p -E < p < \^ p +E$

=> $0.2578 - 0.02 < 0.2578 + 0.02$

=> $0.238 < 0.278$

7 0

2 years ago