if sarah rides her bike 5 miles north, then 3 miles east, what is the shortest distance she would have to travel to return to he
1 answer:
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GIVEN
The following values are given:
SOLUTION
The z-score for the x values 9 and 14 can be calculated using the formula:
For x = 9:
For x = 14:
The probability can be calculated as follows:
The probability is 0.4671.
Using the stated transformation, the graph of g(2x) is given at the end of the answer.
<h3>Horizontal stretch and compression</h3>An horizontal stretch or an horizontal compression happens when a constant is multiplied at the domain of the function, as follows:
g(x) = f(ax).
The definition of stretch or compression depends on the value of the constant a, as follows:
- If a > 1, it is a compression by a factor of 1/a.
- If a < 1, it is a stretch by a factor of 1/a.
In this problem, the rule is:
f(x) = g(2x).
Meaning that f(x) is an horizontal compression by a factor of 1/2 of g(x), and then the vertices are given as follows:
- (0,0).
- (1,-4).
- (2,-2).
That is, in each vertex, the x-coordinate was divided by 2, and thus the graph with these vertices is given at the end of the answer.
More can be learned about transformations at brainly.com/question/28725644
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