Answer:
a set of numbers that are used to find the hypotenuse
Step-by-step explanation:
brainliest
(16 + 24) / (30 - 22) = 40/8 = 5
Answer:
2.28% of the class has a lower heart rate
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(which is the square root of the variance)
, 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 = 82, \sigma = \sqrt{25} = 5](https://tex.z-dn.net/?f=%5Cmu%20%3D%2082%2C%20%5Csigma%20%3D%20%5Csqrt%7B25%7D%20%3D%205)
What percent of the class has a lower heart rate
Lower than 72, which is the pvalue of Z when X = 72.
![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{72 - 82}{5}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B72%20-%2082%7D%7B5%7D)
![Z = -2](https://tex.z-dn.net/?f=Z%20%3D%20-2)
has a pvalue of 0.0228
2.28% of the class has a lower heart rate