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2 answers:
Answer: g(x) = .
Step-by-step explanation:
We are given graph of f(x) and g(x).
f(x) = .
Let us observe the coordinates of f(x) and g(x).
(0,1) ---> (3,1)
(1,2) ---> (4,2)
(2,4) ---> (5,4)
From the above coordinates we can see than coordinates of g(x) are being shifted 3 units right of the coordinates of f(x).
So, the transformation is being applied f(x-3).
According to rules of transformation, y=f(x-c) function f(x) gets transfer c units right.
<em>Therefore, we need to replace x by x-3 in the exponent of 2 of f function.</em>
Therefore, g(x) = .
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Answer:
9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated
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:
What is the probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated?
This is 1 subtracted by the pvalue of Z when X = 16. So
has a pvalue of 0.9082
1 - 0.9082 = 0.0918
9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated