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2 years ago

Each year the Student Council conducts a food drive. At the end of the drive, the members report on the items collected.

Mathematics

1 answer:

larisa86 [58]2 years ago

3 0

Answer:

A) Canned and Packet

Grain, Meat and Vegetables

B) Let C = canned goods, let P = packet goods

20C + 7P

Let G = grain, let M = meat, let V = vegetables

7G + 3M + 17V

C) The number of grain and packet goods are the same in each expression, as this food group has been packaged in the same way.

The other variables in both expression are different. The meat and vegetable food groups have been separated in the second expression, whereas they are part of the same group in the first expression.

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Using the simple random sample of weights of women from a data set, we obtain these sample statistics: nequals45 and x overbar

Tomtit [17]

Answer: (141.1, 156.48)

Step-by-step explanation:

Given sample statistics : $n=45$

$\overline{x}=148.79\text{ lb}$

$\sigma=31.37\text{ lb}$

a) We know that the best point estimate of the population mean is the sample mean.

Therefore, the best point estimate of the mean weight of all women = $\mu=148.79\text{ lb}$

b) The confidence interval for the population mean is given by :-

$\mu\ \pm E$ , where E is the margin of error.

Formula for Margin of error :-

$z_{\alpha/2}\times\dfrac{\sigma}{\sqrt{n}}$

Given : Significance level : $\alpha=1-0.90=0.1$

Critical value : $z_{\alpha/2}=z_{0.05}=\pm1.645$

Margin of error : $E=1.645\times\dfrac{31.37}{\sqrt{45}}\approx 7.69$

Now, the 90% confidence interval for the population mean will be :-

$148.79\ \pm\ 7.69 =(148.79-7.69\ ,\ 148.79+7.69)=(141.1,\ 156.48)$

Hence, the 90% confidence interval estimate of the mean weight of all women= (141.1, 156.48)

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3 years ago

the length of a rectangle is 2 inches less than twice its width. If the perimeter of the rectangle is 74 inches, what is the are

schepotkina [342]

If the width is w and the length is l, then 2w-2=l and 2w+2l=72 (using the perimeter equation). Plugging 2w-2 in for l, we get 2w+(2w-2)*2=72 and 6w-4=72. Adding 4 to both sides, we get 6w=76. After that, we divide both sides by 6 to get 74/6=w. Since l=2w-2=136/6, we get (136/6)(74/6)=656.75=area

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