Answer:B is the answer
Step-by-step explanation:
Answer:
This unit discusses areas of paralelograms, triangles, trapezoids, rhombuses, kites, and regular polygons.
Step-by-step explanation:
Answer:
the answer to this problem is (C)
Answer:
A. 110 pounds,
C. 281 pounds
Step-by-step explanation:
Problems of normally distributed samples can be 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
A measure is said to be an outlier if it has a pvalue lesser than 0.05 or higher than 0.95.
In this problem, we have that:
![\mu = 173, \sigma = 30](https://tex.z-dn.net/?f=%5Cmu%20%3D%20173%2C%20%5Csigma%20%3D%2030)
A. 110 pounds,
![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{110 - 173}{30}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B110%20-%20173%7D%7B30%7D)
![Z = -2.1](https://tex.z-dn.net/?f=Z%20%3D%20-2.1)
has a pvalue of 0.0179. So a weight of 110 pounds is an outlier.
B. 157 pounds,
![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{157 - 173}{30}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B157%20-%20173%7D%7B30%7D)
![Z = 0.53](https://tex.z-dn.net/?f=Z%20%3D%200.53)
has a pvalue of 0.702.
So a weight of 157 is not an outlier.
C. 281 pounds
![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{281 - 173}{30}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B281%20-%20173%7D%7B30%7D)
![Z = 3.6](https://tex.z-dn.net/?f=Z%20%3D%203.6)
has a pvalue of 0.9988.
So a weight of 281 is an outlier.
Answer:
15/14
Step-by-step explanation:
3(x+1/2)
10x-6=3x+3/2
7x=3/2+12/2
7x=15/2
x=15/2*1/7
x=15/14