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Verizon [17]
3 years ago
5

A fast food restaurant executive wishes to know how many fast food meals teenagers eat each week. They want to construct a 99% c

onfidence interval with an error of no more than 0.06. A consultant has informed them that a previous study found the mean to be 6.4 fast food meals per week and found the standard deviation to be 1.1. What is the minimum sample size required to create the specified confidence interval
Mathematics
1 answer:
Lana71 [14]3 years ago
7 0

Answer:

The minimum sample size required to create the specified confidence interval is 2229.

Step-by-step explanation:

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

\alpha = \frac{1-0.99}{2} = 0.005

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 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

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

In which \sigma is the standard deviation of the population and n is the size of the sample.

What is the minimum sample size required to create the specified confidence interval

This is n when M = 0.06, \sigma = 1.1

0.06 = 2.575*\frac{1.1}{\sqrt{n}}

0.06\sqrt{n} = 2.575*1.1

\sqrt{n} = \frac{2.575*1.1}{0.06}

(\sqrt{n})^{2} = (\frac{2.575*1.1}{0.06})^{2}

n = 2228.6

Rounding up

The minimum sample size required to create the specified confidence interval is 2229.

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The perimeter of a flower garden with three sides is 46 feet. One side of the garden is 11 feet long. Another side of the garden
saul85 [17]

Answer:

<h2>22ft</h2>

Step-by-step explanation:

Step one:

given that the orientation of the garden is a triangular shape(it has three sides)

the perimeter is given as=46ft

one side y=11ft

the second side z= 13ft

let the third side be xft

Step two:

the expression for the perimeter = z+y+x

46=11+13+x

46=24+x

solve for x

x=46-24

x=22ft

Therefore the third side is 22ft long

7 0
2 years ago
Write an expression that is equivalent to three over four (5z+ 16). WILL GIVE BRAINLIEST
Alik [6]

Answer:

15 over fourz +12

Using the distributive property, 3/4 • 5z equals 15/4z, which can't be simplified. Then 3/4 of 16 is 12. If you divide 16 by 4 (the denominator) and then multiply by 3 (the numerator) that yields your answer.

Step-by-step explanation:

literally just got asked this question (if that makes sense lol)

so B is your answer

4 0
2 years ago
Read 2 more answers
Write this number in standard form. 300+80+0.9+0.06+0.001
Lina20 [59]

Hey there! I'm happy to help!

First, let's add the hundreds and the tens.

300+80=380

We see that there is nothing in the ones place, so we keep our ones place 0 and we move onto adding the tenths.

380+0.9=380.9

We add the hundredths.

380.9+0.06=380.96

And finally, we add the thousandths.

380.96+0.001=380.961

Therefore, this number in standard form is 380.961.

Have a wonderful day! :D

5 0
3 years ago
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Find f(-5) if f(x) = X + 11.
fgiga [73]

Answer:

f(-5) = 6

Step-by-step explanation:

f(x) = x + 11

Let x = -5

f(-5) = -5+11

f(-5) = 6

4 0
3 years ago
An airplane pilot over the Pacific sights an atoll at an angle of depression of 5. At this time, the horizontal distance from th
kotykmax [81]
B) 405 m
tan(5) = x/4629
4629tan(5) = 404.9
Round up
x=405 m
4 0
3 years ago
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