Answer: 0.75 (choice B)
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Explanation:
One way to set up the equation is to think of it like this
vertical/horizontal = vertical/horizontal
So we could say
(3.5)/(28) = x/6
Cross multiply and solve for x
3.5*6 = 28*x
21 = 28x
x = 21/28
x = (3*7)/(4*7)
x = 3/4 in fraction form
x = 0.75 in decimal form
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Another possible set up equation is
28/6 = (3.5)/x
in this case I divided the horizontal sides together (28 and 6) and the vertical sides divide to form their own separate fraction as well.
Solving that equation should lead you to x = 3/4 = 0.75
Other equations are possible.
Answer:
a) 0.11%
b) 55.99%
c) 0.25%
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Normally distributed with a mean of 54.3 pounds and a standard deviation of 14.5 pounds.
This means that ![\mu = 54.3, \sigma = 14.5](https://tex.z-dn.net/?f=%5Cmu%20%3D%2054.3%2C%20%5Csigma%20%3D%2014.5)
1. What percentage of Americans' annual salad and cooking oil consumption is less than 10 pounds?
The proportion is the pvalue of Z when X = 10. So
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{10 - 54.3}{14.5}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B10%20-%2054.3%7D%7B14.5%7D)
![Z = -3.06](https://tex.z-dn.net/?f=Z%20%3D%20-3.06)
has a pvalue of 0.0011
0.0011*100% = 0.11%.
2. What percentage of Americans' annual salad and cooking oil consumption is between 35 and 60?
The proportion is the value of Z when X = 60 subtracted by the pvalue of Z when X = 35.
X = 60
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{60 - 54.3}{14.5}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B60%20-%2054.3%7D%7B14.5%7D)
![Z = 0.39](https://tex.z-dn.net/?f=Z%20%3D%200.39)
has a pvalue of 0.6517
X = 35
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{35 - 54.3}{14.5}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B35%20-%2054.3%7D%7B14.5%7D)
![Z = -1.33](https://tex.z-dn.net/?f=Z%20%3D%20-1.33)
has a pvalue of 0.0918
0.6517 - 0.0918 = 0.5599
0.5599*100% = 55.99%
3. What percentage of Americans' annual salad and cooking oil consumption is more than 95 pounds?
The proportion is 1 subtracted by the pvalue of Z when X = 95.
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{95 - 54.3}{14.5}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B95%20-%2054.3%7D%7B14.5%7D)
![Z = 2.81](https://tex.z-dn.net/?f=Z%20%3D%202.81)
has a pvalue of 0.9975
1 - 0.9975 = 0.0025
0.0025*100% = 0.25%
Answer:
5
Step-by-step explanation:
did test give 5 star and thanks.
Eh yo creo que no, si estoy mal los siento
I’m sorry I don’t know!!!!!!!!! I hope you find the answer