The cubic function is f(x) = x^3
You need to perform three transformations to the cubic function to obtain
f(x) = - (x + 2)^3 - 5.
Those transfformations are:
1) Shift f(x) = x^3, 2 units leftward to obtain f(x) = (x + 2)^3
2) reflect f(x) = (x + 2)^3 across the x-axis to obtain f(x) = - (x + 2)^3
3) shift f(x) = - ( x + 2) ^3, 5 units downward to obtain f(x) = - (x + 2)^3 - 5
Answer:
161
Step-by-step explanation:
8*14+13*3+(5*4)/2
112+39+10 = 161
The <em><u>correct answer</u></em> is:
0.0764
Explanation:
We will use a z-score to answer this. The formula for a z-score is
, where μ is the mean and σ is the standard deviation. Using our information in this problem, we have

Using a z-table, we look up the z-score 1.43. The area under the curve to the left of, or less than, this value is 0.9236. This means the probability that the time is greater than this is 1-0.9236 = 0.0764.
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