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Answer:
y = 3x -10
Step-by-step explanation:
An equation being parallel to the line y = 3x - 2 must contain the same slope, or 3.
Therefore:
Plug in the coordinate points into the formula y = mx + b along with the slope:
-4 = 3(2) + b
-4 = 6 + b
Subtract 6 from both sides:
b = -10.
Rewrite the equation in slope-intercept form:
y = 3x -10. This is the line that is parallel and passes through (2, -4).
Step-by-step explanation:
everything can be found in the picture
Answer:
The standard deviation of the speeds of cars travelling on California freeway is 6.0088 miles per hour.
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

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 This p-value is the probability that the value of the measure is greater than X.
In this problem, we have that:
Suppose that the speeds of cars travelling on California freeways are normally distributed with a mean of 61 miles/hour. This means that
.
The highway patrol's policy is to issue tickets for cars with speeds exceeding 75 miles/hour. The records show that exactly 1% of the speeds exceed this limit. This means that the pvalue of Z when
is 0.99. This is 
So





The standard deviation of the speeds of cars travelling on California freeway is 6.0088 miles per hour.
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A. will be your answer.
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