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PLEASE HELP!! Solve. 5=15x−3 Enter your answer in the box. x=
1 answer:
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<u>Answer:</u>
<u>Step-by-step explanation:</u>
- Given a slope and a point on the line, you can use point slope form and then rearrage your terms into slope-intercept form
- <u>SLOPE-INTERCEPT FORM</u>:
, where "m" is your slope and "b" is your y-intercept
- <u>POINT-SLOPE FORM: </u>
, where
represents the y-coordinate of your point,
represents the x-coordinate of your point, and
represents the slope
- Point-slope form
- Slope-intercept form
Answer:
a = 33.32
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:
P(32 < x < a) = .0590
This is the pvalue of Z when X = a subtracted by the pvalue of Z when X = 32.
X = 32
has a pvalue of 0.1587
X = a
p - 0.1587 = 0.0590
p = 0.0590 + 0.1587
p = 0.2177
So when X = a, Z has a pvalue of 0.2177. So when X = a, Z = -0.78.
So a = 33.32