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3 years ago

I can’t find answers to this question. Please help.

Mathematics

1 answer:

dlinn [17]3 years ago

3 0

Answer:

Did you try looking it up

Step-by-step explanation:

sorry If I am wrong and don't forget to make me brainliest

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The Highway Safety Department wants to study the driving habits of individuals. A sample of 32 cars traveling on the highway rev

GarryVolchara [31]

Answer:

n=126

Step-by-step explanation:

Data given and previous concepts

$\bar X=60$ represent the sample mean

$s=11$ represent the sample deviation

n=32 represent the sample size

Confidence =0.95 or 95%

$\alpha =1-0.95=0.05$ represent the significance level

ME= 2 represent the margin of error required

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Assuming the X follows a normal distribution

$X \sim N(\mu, \sigma)$

Solution to the problem

Since we don't have the population deviation. We know that the margin of error for a confidence interval is given by:

$Me=t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The next step would be find the value of $\t_{\alpha/2}$ , $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ . The degrees of freedom are given by:

$df=n-1=32-1=31$

Using the normal standard table, excel or a calculator we see that:

$t_{\alpha/2}=2.04$

And the code in excel is this one: "=T.INV(1-0.025,31)"

If we solve for n from formula (1) we got:

$\sqrt{n}=\frac{t_{\alpha/2} s}{Me}$

$n=(\frac{t_{\alpha/2} s}{Me})^2$

And we have everything to replace into the formula:

$n=(\frac{2.04(11)}{2})^2 =125.88$

And if we round up the answer we see that the value of n to ensure the margin of error required $\pm=2 miles$ is n=126.

3 0

3 years ago

molly is wrapping up parts of sandwiches to sell at her sandwich cart. she cuts each sandwich in fourths and then wraps each fou

Marat540 [252]

Since Molly wrapped each fourth separately, she was only wrapping one fourth of a sandwich every time she made a wrap. She claimed that she wrapped 16 whole sandwiches, but she actually only wrapped 16 fourths. This means that she wrapped 4 whole sandwiches, not 16.

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3 years ago

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Which equation represents the following graph?

Kazeer [188]

Answer:

y = -1/2x + 2.

Step-by-step explanation:

The slope is -2/4 = -1/2 and the y-intercept is y = 2,

so in slope-intercept form the equation is y = -1/2x + 2.

The slope is negative because the line falls to the right.

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2 years ago

In order to join a yoga class, you pay a $100 annual fee plus an additional $5 for each class you go to. What is the average cos

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Answer:

200$

Step-by-step explanation:

5x20=100 plus 100 from annual

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3 years ago

Evaluate the expression<br> 3 to the power of 4 ÷ (14 − 5) × 2.

elixir [45]

Answer:

The answer is 18.

Hope this helps!! :))

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