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1 answer:
Answer:
(a) Local Maximum (x,y) = (0,12)
Local Minimum (x,y) = (-9,6) (smaller x-value)
Local Minimum (x,y) = (6,3) (Larger x-value)
(b) Increasing =
Decreasing =
Step-by-step explanation:
(a)
Local Maximum: The function gives maximum value in small neighborhood.
From the given graph it is clear that the maximum value of the function is 12 at x=0. So,
Local Maximum (x,y) = (0,12)
Local Minimum: The function gives minimum value in small neighborhood.
It is clear that the minimum value of the function is -6 and 3 at x=-9 and x=6. So,
Local Minimum (x,y) = (-9,6) (smaller x-value)
Local Minimum (x,y) = (6,3) (Larger x-value)
(b)
The function is increasing on -9<x<0 and after 6.
Increasing =
The function is decreasing on 0<x<6 and before -9.
Decreasing =
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Answer:
a: 0.8884
b: 0.9934
Step-by-step explanation:
We have µ = 300 and σ = 70. The sample size, n = 125.
For the sample to be within 8 units of the population mean, we would have sample values of 292 and 308, so we want to find:
P(292 < x < 308).
We need to find the z-scores that correspond to these values using the given data. See attached photo 1 for the calculation of these scores.
We have P(292 < x < 308) = 0.8884
Next we want the probability of the sample mean to be within 17 units of the population mean, so we want the values from 283 to 317. We want to find
P(283 < x < 317)
We need to find the z-scores that correspond to these values. See photo 2 for the calculation of these scores.
We have P(283 < x < 317) = 0.9934
