Answer: 0.2119
Step-by-step explanation:
We assume that the random variable X is normally distributed.
Given : Population mean :
Standard deviation :
Z-score :
Then, z-score corresponds to 116
By using the standard normal distribution table for z , we have
Hence, the required probability = 0.2119
The value k needed for the transformation of f(x) to g(x) = f(k · x) is equal to 3.056.
<h3>How to find the find the dilation factor</h3>
In this problem we have the following relationship bewteen the two <em>quadratic</em> equations: g(x) = f(k · x), which means that for all y the following relationship between f(x) and g(x):
Let suppose that y = 3, then and
, then the value k is:
k = (- 5.5)/(- 1.8)
k = 3.056
The value k needed for the transformation of f(x) to g(x) = f(k · x) is equal to 3.056.
To learn more on transformations: brainly.com/question/11709244
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