Answer:
a) The absolute maximum is 401 and the absolute minimum is 9.
b) The absolute maximum is 349 and the absolute minimum is -99.
c) The absolute maximum is 401 and the absolute minimum is -99.
Step-by-step explanation:
The absolute minimum and absolute maximum values are determined with the help of the First and Second Derivative Tests:
FDT
The roots of the function are: and . Each point is evaluated in the second derivative of the function:
SDT
(Absolute minimum)
(Absolute maximum)
The values for each extreme are, respectively:
Now, each interval is analyzed herein:
a) The absolute maximum is 401 and the absolute minimum is 9.
b) The absolute maximum is 349 and the absolute minimum is -99.
c) The absolute maximum is 401 and the absolute minimum is -99.
Answer:
a) 0.586
b) 0.846
c) We are more likely to select a sample of 22 woman with a mean height of 64.9 inches.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 64.4 inches
Standard Deviation, σ =2.3 inches
We are given that the distribution of height of woman is a bell shaped distribution that is a normal distribution.
Formula:
a) P(selecting 1 woman with a height less than 64.9 inches)
P(x < 64.9)
Calculation the value from standard normal z table, we have,
b) P(selecting 22 woman with a height less than 64.9 inches)
Standard error due to sampling =
P(x < 64.9)
Calculation the value from standard normal z table, we have,
c) Since,
P(selecting 22 woman with a height less than 64.9 inches) > P(selecting 1 woman with a height less than 64.9 inches)
We are more likely to select a sample of 22 woman with a mean height of 64.9 inches.
Answer:
true
Step-by-step explanation:
The answer you are looking for is X = 21.
Since supplementary angles equal 180, you'd first need to subtract 48 from 180. This gives you 132. Next, you'd divide 132 by 6 to get 22. Since x is in the parenthesis with "+ 1", you'd subtract 1 to give you x (21).
I hope this helps!
Mom's view is that she loses 50 dollars, but gains back 17.85 dollars as change from her daughter.
Olivia's view is that she gained 50 dollars from her mom, spent 32.15 dollars, then gave back the 17.85 change to her mom, so she didn't gain any money.
Mom's point of view: -$50 + $17.85 and Mom's point of view: -$50 + $17.85 are the correct answers, but technically, Olivia still owes her mom 32.15 dollars.