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mariarad [96]
2 years ago
13

Jessa works at a potato chip factory and would like to estimate the mean weight in grams of the factory's potato

Mathematics
1 answer:
Svetlanka [38]2 years ago
7 0

Answer:

The smallest sample size required to obtain the desired margin of error is 44.

Step-by-step explanation:

I think there was a small typing error, we have that \sigma = 60 is the standard deviation of these weighs.

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

Which of these is the smallest approximate sample size required to obtain the desired margin of error?

This sample size is n.

n is found when M = 15

So

M = z*\frac{\sigma}{\sqrt{n}}

15 = 1.645*\frac{60}{\sqrt{n}}

15\sqrt{n} = 1.645*60

Simplifying by 15

\sqrt{n} = 1.645*4

(\sqrt{n})^{2} = (1.645*4)^{2}

n = 43.3

Rounding up

The smallest sample size required to obtain the desired margin of error is 44.

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katovenus [111]

Answer:

<h2>Option A is the answer(here the answer is calculated taking the whole value, without approximating it to a nearest value)</h2>

Step-by-step explanation:

Annual interest rate is 2.75%. Hence, the monthly interest rate is \frac{2.75}{12}

The amount will be compounded (20\times12) = 240 times.

Every month they deposits $500.

In the first month that deposited $500 will be compounded 240 times.

It will be 500\times [1 + \frac{2.75}{1200} ]^{240}

In the second month $500 will be deposited again, this time it will be compounded 239 times.

It will give 500\times [1 + \frac{2.75}{1200} ]^{239}

Hence, the total after 20 years will be 500\times [1 + \frac{2.75}{1200} ]^{240} + 500\times [1 + \frac{2.75}{1200} ]^{239} + ........+ 500\times [1 + \frac{2.75}{1200} ]^{1} = 160110.6741

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2 years ago
Scale Drawings
Law Incorporation [45]
 the correct question Part 1) is
<span>A school photo has dimensions of 2 1/4 inches by 2 3/4 inches. What are the dimensions of the school photo if it is enlarged by a scale factor of 7?

we know that
2 1/4 in-------> (2*4+1)/4----> 9/4 in
2 3/4 in-----> (2*4+3)/4-----> 11/4 in

if the scale factor=7
the dimensions of the school photo are
(9/4)*7-----> 63/4 in-----> 15 3/4 in
(11/4)*7----> 77/4 in-----> 19 1/4 in

the answer Part 1) is
</span>the dimensions of the school photo are
15 3/4 in x 19 1/4 in

Part 2) <span>Stephanie drew a picture of her house with her prize rosebush in the front. In her picture, she drew the rosebush 1.5 centimeters tall, and she drew the house 7.5 centimeters tall.

If her rosebush is really 0.75 meter tall and she made her drawing to scale, what scale did she use?

scale factor=measure in the drawing/measure in the actual
scale factor=1.5 cm/0.75 m-----> 2 cm/m
that means
2 cm in the drawing is equal to 1 meter in the actual

if the house in the drawing  is 7.5 cm tall
the house in the actual is 7.5/2----> 3.75 m

the answer Part 2) is 
the scale is 2 cm/meters

Part 3)</span><span>A photo of a painting has a scale of 3 inches = 2 feet. If the photo is 7.5 inches long, how many feet long is the painting?

we know that
</span>
scale factor=measure in the photo/measure in the painting
measure in the painting=measure in the photo/scale factor
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measure in the photo=7.5 in

measure in the painting=7.5/1.5----> 5 ft

the answer part 3) is
the painting is 5 ft long
4 0
2 years ago
A fruit stand sells mangoes for $3.49 per pound, papayas for $1.40 per pound, and coconuts for $1.24 per pound. Part A Which exp
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2 years ago
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