Answer:
x =
Step-by-step explanation:
Given equation is,
ax + 3 = 23
To solve this equation for the value of x isolate the variable 'x' on the one side of the equation.
Step 1,
Subtract 3 from both the sides of the equation.
ax + 3 - 3 = 23 - 3
ax = 20
Step 2,
Divide the equation by a,
x =
Therefore, x = will be the answer.
Answer:
P(57 < X < 69) = 0.1513
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:
Find P(57 < X < 69):
This is the pvalue of Z when X = 69 subtracted by the pvalue of Z when X = 57. So
X = 69
has a pvalue of 0.9564
X = 57
has a pvalue of 0.8051
0.9564 - 0.8051 = 0.1513
P(57 < X < 69) = 0.1513