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igor_vitrenko [27]
2 years ago
11

A fast food restaurant executive wishes to know how many fast food meals adults eat each week. They want to construct a 85% conf

idence interval with an error of no more than 0.08. A consultant has informed them that a previous study found the mean to be 5.6 fast food meals per week and found the standard deviation to be 1.3. What is the minimum sample size required to create the specified confidence interval? Round your answer up to the next integer.
Mathematics
1 answer:
Alex787 [66]2 years ago
5 0

Answer:

The sample size must be 548 to have a margin of error of no more than 0.08.

Step-by-step explanation:

We are given the following in the question:

Sample mean = 5.6

Standard deviation = 1.3

Significance level = 15%

Margin of error = 0.08

We have to estimate the sample size.

Margin of error =

z_{critical}\dfrac{\sigma}{\sqrt{n}}

z_{critical}\text{ at}~\alpha_{0.15} = 1.44

Putting values, we get

0.08 = 1.44\times \dfrac{1.3}{\sqrt{n}}\\\\\sqrt{n} = 1.44\dfrac{\times 1.3}{0.08}\\\\\sqrt{n} = 23.4\\n =547.56\approx 548

Thus, the sample size must be 548 to have a margin of error of no more than 0.08.

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THIS IS A 3-STEP QUESTION PLEASE ASWER ACCORDINGLY! THANKS !!!
mariarad [96]
A.
Let x = age of Samantha.
Then x - 2 = age of Emily,
and x + 2 = age of Lauren.

b.
x - 2 + x + x + 2 = 42

c.
x - 2 + x + x + 2 = 42

3x = 42

x = 14

x - 2 = 14 - 2 = 12

x + 2 = 14 + 2 = 16

The ages of the sisters are 12, 14, 16.
4 0
2 years ago
Maysoun drove 1116 kilometers in 12 hours. At the same rate, how long would it take her to drive 651 kilometers?
Lilit [14]

Answer:

7 hours

Step-by-step explanation:

12hrs=1116kms

1hr=1116÷12

1hr=93kms

Xhrs=651kms

Xhrs=(651÷93) ×1

=7×1

=7hrs

7 0
2 years ago
Which ratios are equal to 64 when the scale factor is 8? Select all that apply.
Luden [163]

Answer:

The scaled surface area of a square pyramid to the original surface area.

The scaled area of a triangle to the original area.

Step-by-step explanation:

Suppose that we have a cube with sidelength M.

if we rescale this measure with a scale factor 8, we get 8*M

Now, if previously the area of one side was of order M^2, with the rescaled measure the area will be something like (8*M)^2 = 64*M^2

This means that the ratio of the surfaces/areas will be 64.

(and will be the same for a pyramid, a rectangle, etc)

Then the correct options will be the ones related to surfaces, that are:

The scaled surface area of a square pyramid to the original surface area.

The scaled area of a triangle to the original area.

5 0
3 years ago
The area of square LMNO is 130 square inches. Find the length of Segment LM.
lakkis [162]

Answer:

11.401754251 or the square root of 130

Step-by-step explanation:

the length squared is the area so you have to do inverse operations and do the square root

4 0
3 years ago
Evaluate the expression 2b^3+5 (BTW I did the first part it's 3 but I need the second part)​
andrey2020 [161]

To find the exact answer based on the last step, "2(3)^3+5", you must use PEMDAS (attached image below)

 

          2(3)^3+5=2*27+5=54+5=59

Thus the answer is <u>59</u>.

Hope that helps!

         

4 0
2 years ago
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