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2 years ago

1

Mathematics

1 answer:

almond37 [142]2 years ago

8 0

Answer:

k = 0.167

Step-by-step explanation:

This is a direct proportion. That is as the number of chairs increases, so does the number of minutes needed.

y=number of chairs

x = time in minutes.

y = k x

4 = k * 24 Divide by 24

4/24 = k

You could leave it that way.

or you could do the division

k = 1/6 = 0.167

y = 0.167 x

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1) 2 1/3 is also equal to 7/3

4 1/5 is also equal to 21/5

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2 years ago

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In 2006, 95% of new cars in the US came with a spare tire. In 2017, 72% came with a spare tire.

MArishka [77]

Using the Central Limit Theorem, it is found that:

The mean is 0.23.

The standard deviation is $s = \sqrt{\frac{0.95(0.05)}{250} + \frac{0.72(0.28)}{250}}$ .

<h3>Central Limit Theorem</h3>

It states that for a <u>proportion p in a sample of size n</u>, the sampling distribution of sample proportions has mean $p$ and standard deviation $s = \sqrt{\frac{p(1 - p)}{n}}$

When two variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

In 2006, 95% of new cars in the US came with a spare tire, with a sample of 250, hence:

$p_1 = 0.95, s_1 = \sqrt{\frac{0.95(0.05)}{250}}$

In 2017, 72% of new cars in the US came with a spare tire, with a sample of 250, hence:

$p_2 = 0.72, s_2 = \sqrt{\frac{0.72(0.28)}{250}}$

Hence, for the distribution of differences:

$p = p_1 - p_2 = 0.95 - 0.72 = 0.23$

$s = \sqrt{s_1^2 + s_2^2} = \sqrt{\frac{0.95(0.05)}{250} + \frac{0.72(0.28)}{250}}$

To learn more about the Central Limit Theorem, you can take a look at brainly.com/question/16695444

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