The variation from x to y is an illustration of a direct variation
The value of x when y = 2 is -19/7
<h3>How to determine the value of x?</h3>
The variation is a direct variation.
So, we have:
x = ky
Where k represents the constant of variation
Make k the subject
k = x/y
This gives
x1/y1 = x2/y2
So, we have:
-19/14 = x/2
Multiply both sides by 2
x = -19/14 * 2
Evaluate
x = -19/7
Hence, the value of x when y = 2 is -19/7
Read more about direct variation at:
brainly.com/question/6499629
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Answer:
7.64% probability that they spend less than $160 on back-to-college electronics
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
, 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:

Probability that they spend less than $160 on back-to-college electronics
This is the pvalue of Z when X = 160. So



has a pvalue of 0.0763
7.64% probability that they spend less than $160 on back-to-college electronics