Answer:
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Step-by-step explanation:
Answer:
554 executives should be surveyed.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
![\alpha = \frac{1 - 0.95}{2} = 0.025](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%5Cfrac%7B1%20-%200.95%7D%7B2%7D%20%3D%200.025)
Now, we have to find z in the Z-table as such z has a p-value of
.
That is z with a pvalue of
, so Z = 1.96.
Now, find the margin of error M as such
![M = z\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
In which
is the standard deviation of the population and n is the size of the sample.
Standard deviation of 3 hours.
This means that ![\sigma = 3](https://tex.z-dn.net/?f=%5Csigma%20%3D%203)
The 95% level of confidence is to be used. How many executives should be surveyed?
n executives should be surveyed, and n is found with
. So
![M = z\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
![0.25 = 1.96\frac{3}{\sqrt{n}}](https://tex.z-dn.net/?f=0.25%20%3D%201.96%5Cfrac%7B3%7D%7B%5Csqrt%7Bn%7D%7D)
![0.25\sqrt{n} = 1.96*3](https://tex.z-dn.net/?f=0.25%5Csqrt%7Bn%7D%20%3D%201.96%2A3)
![\sqrt{n} = \frac{1.96*3}{0.25}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%20%3D%20%5Cfrac%7B1.96%2A3%7D%7B0.25%7D)
![(\sqrt{n})^2 = (\frac{1.96*3}{0.25})^2](https://tex.z-dn.net/?f=%28%5Csqrt%7Bn%7D%29%5E2%20%3D%20%28%5Cfrac%7B1.96%2A3%7D%7B0.25%7D%29%5E2)
![n = 553.2](https://tex.z-dn.net/?f=n%20%3D%20553.2)
Rounding up:
554 executives should be surveyed.
The system of equations x+y=46 and 15x+9y=396 could be used to find the number of boxes of each item sold.
Step-by-step explanation:
Given,
Cost of one box of raspberry scones = $15.00
Cost of one box of lemon poppy seed muffins = $9.00
Total boxes sold = 46
Total revenue earned = $396
Let,
x be the number of raspberry scones sold.
y be the number of lemon poppy seed muffins sold.
According to given statement;
x+y=46 Eqn 1
15x+9y=396 Eqn 2
The system of equations x+y=46 and 15x+9y=396 could be used to find the number of boxes of each item sold.
Answer:
12:20:25
I thnk this is it. I'm not sure though
Answer:
the answer is 40:45
Step-by-step explanation:
i did the test and got it right