Answer:
0.0668 = 6.68% probability that an individual man’s step length is less than 1.9 feet.
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 2.5 feet and a standard deviation of 0.4 feet.
This means that ![\mu = 2.5, \sigma = 0.4](https://tex.z-dn.net/?f=%5Cmu%20%3D%202.5%2C%20%5Csigma%20%3D%200.4)
Find the probability that an individual man’s step length is less than 1.9 feet.
This is the p-value of Z when X = 1.9. 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{1.9 - 2.5}{0.4}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B1.9%20-%202.5%7D%7B0.4%7D)
![Z = -1.5](https://tex.z-dn.net/?f=Z%20%3D%20-1.5)
has a p-value of 0.0668
0.0668 = 6.68% probability that an individual man’s step length is less than 1.9 feet.
Answer:
120 in
Step-by-step explanation:
The area of a parallelogram is its base multiplied by its height.
![A = b * h](https://tex.z-dn.net/?f=A%20%3D%20b%20%2A%20h)
For this problem, the base is 15 in while the height is 8 in. Plug in the numbers into the equation and solve.
![A = b * h](https://tex.z-dn.net/?f=A%20%3D%20b%20%2A%20h)
![A = 15 * 8](https://tex.z-dn.net/?f=A%20%3D%2015%20%2A%208)
![A = 120](https://tex.z-dn.net/?f=A%20%3D%20120)
The area of the parallelogram is 120 in.
MOE = +\- 1.27
Confidence Interval is 53.73 to 56.27
Hello! How are you today?
You substitute the x for -3
-8x +2
-8(-3) +2
(-8x-3) +2
24 +2
= 26