Answer:
14.63% probability that a student scores between 82 and 90
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:

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:

What is the probability that a student scores between 82 and 90?
This is the pvalue of Z when X = 90 subtracted by the pvalue of Z when X = 82. So
X = 90



has a pvalue of 0.9649
X = 82



has a pvalue of 0.8186
0.9649 - 0.8186 = 0.1463
14.63% probability that a student scores between 82 and 90
Answer:
4312cm³
Step-by-step explanation:
volume of a prism = length×width×height
=22×14×14
=4312cm³
Answer:
yes your answer is correct 31.4
Step-by-step explanation:
given
Radius (r) = 5 inches
circumference (c)
= 2πr
= 2 * 3.14 * 5
= 31.4 inches
If the sample is truly random, every member of the population should have an equal chance to be selected. Because of this, Paula and Peter's probability of being chosen will be equal: 1/9800
Answer:
p=4-2x
Step-by-step explanation: