Answer:
112.98 square units
Step-by-step explanation:
Let's work backwards:
Circumference = 2πr
(37.68)/2π = r
Area = π![r^{2}](https://tex.z-dn.net/?f=r%5E%7B2%7D)
Area = π * ![((37.68)/2pi)^{2}](https://tex.z-dn.net/?f=%28%2837.68%29%2F2pi%29%5E%7B2%7D)
Area = 112.983 square units
Answer:
one real solution
Step-by-step explanation:
square root of 0 is 0
The answer is c alternate exterior angles
3, if you do the y^2-y^1/x^2-x^1 you will get 3/1 which will be simplified to 3.
Answer:
His jump was of 272.45 inches
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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
![\mu = 263, \sigma = 14](https://tex.z-dn.net/?f=%5Cmu%20%3D%20263%2C%20%5Csigma%20%3D%2014)
75th percentile
X when Z has a pvalue of 0.75. So X when Z = 0.675
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![0.675 = \frac{X - 263}{14}](https://tex.z-dn.net/?f=0.675%20%3D%20%5Cfrac%7BX%20-%20263%7D%7B14%7D)
![X - 263 = 14*0.675](https://tex.z-dn.net/?f=X%20-%20263%20%3D%2014%2A0.675)
![X = 272.45](https://tex.z-dn.net/?f=X%20%3D%20272.45)
His jump was of 272.45 inches