Answer:
The area under the curve that represents the percent of women whose heights are at least 64 inches is 0.5.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore 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, or the area under the curve representing values that are lower than x. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is the same as the area under the curve representing values that are higher than x.
In this problem, we have that:
![\mu = 64, \sigma = 2.75](https://tex.z-dn.net/?f=%5Cmu%20%3D%2064%2C%20%5Csigma%20%3D%202.75)
Find the area under the curve that represents the percent of women whose heights are at least 64 inches.
This is 1 subtracted by the pvalue of Z when X = 64.
![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{64 - 64}{2.75}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B64%20-%2064%7D%7B2.75%7D)
![Z = 0](https://tex.z-dn.net/?f=Z%20%3D%200)
has a pvalue of 0.5.
1 - 0.5 = 0.5
The area under the curve that represents the percent of women whose heights are at least 64 inches is 0.5.
Answer:
The slope is ![\frac{10}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B3%7D)
Step-by-step explanation:
Let
and
.
We calculate the slope using the formula;
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We substitute the values into the formula to get;
![m=\frac{-5-15}{-8--2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-5-15%7D%7B-8--2%7D)
![m=\frac{-20}{-6}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-20%7D%7B-6%7D)
![m=\frac{10}{3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B10%7D%7B3%7D)
The rate of change would be D. 4
Answer:
32 lbs
Step-by-step explanation:
John weighs 104 lbs
Rita weighs 136 lbs
The difference is 136-104 = 32 lbs
Scale factor is 1/2 or 0.5
One of the sides of figure A is 4 units, Same side for Figure B has TWO units.
Which is basically half the size of the original (figure A)