Answer:
81.85.
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.
Suppose the mean height for men is 70 inches with a standard deviation of 2 inches.
This means that ![\mu = 70, \sigma = 2](https://tex.z-dn.net/?f=%5Cmu%20%3D%2070%2C%20%5Csigma%20%3D%202)
What percentage of men are between 68 and 74 inches tall?
The proportion is the p-value of Z when X = 74 subtracted by the p-value of Z when X = 68.
X = 74
![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{74 - 70}{2}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B74%20-%2070%7D%7B2%7D)
![Z = 2](https://tex.z-dn.net/?f=Z%20%3D%202)
has a p-value of 0.9772.
X = 68
![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{68 - 70}{2}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B68%20-%2070%7D%7B2%7D)
![Z = -1](https://tex.z-dn.net/?f=Z%20%3D%20-1)
has a p-value of 0.1587.
0.9772 - 0.1587 = 0.8185
0.8185*100% = 81.85%.
Thus the percentage is 81.85%, and the answer is 81.85.
.89 pounds
Because 7.12 divided by 8 is 0.89 pounds
Answer:
3
Step-by-step explanation:
The formula for the Pythagorean's Theorem is a^2 + b^2 = c^2, so first you know that hypotenuse is the longest side or the opposite side from which the right angle is which in this case is the 6 so you are looking for a leg rather then the hypotenuse which means we are going to be doing subtraction.
a^2 + b^2 = c^2
√27^2 - b^2 = 6^2
27 - b^2 = 36
-27 -27
b^2 = 9
b^2 = √9
<h2>
b = 3</h2>
Answer:
Yes
Step-by-step explanation:
100-80=20
Hope this helped :D
<u>Domain</u><u>~</u><u> </u>
![0 \leqslant b \leqslant 300](https://tex.z-dn.net/?f=0%20%5Cleqslant%20b%20%5Cleqslant%20300)
<u>Range</u><u>~</u><u> </u>
<u>
</u>
<em>Hope</em><em> </em><em>this</em><em> </em><em>helps</em><em> </em><em>:</em><em>)</em>