Answer:
The length for the 97th percentile for a man's arm span is 74.96 inches.
Step-by-step explanation:
We have a normal distribution for men's arm span, with mean of 68 inches and standard deviation of 3.7 inches.
The 97th percentil represents the value for which 97% of the observations are below.
We can search for the 97th percentile for the standard normal distribution. This will give a value z=1.88.
Then, we can convert this z-score to our distribution:
Answer:
The maximum value of C is 68
Step-by-step explanation:
we have the following constraints
----> constraint A
----> constraint B
----> constraint C
----> constraint D
Find out the area of the feasible region, using a graphing tool
The vertices of the feasible region are
(0,0),(5,19),(5,0)
see the attached figure
To find out the maximum value of the objective function C, substitute the value of x and the value of y of each vertex in the objective function and then compare the results
For (0,0) ----->
For (5,19) ----->
For (5,0) ----->
therefore
The maximum value of C is 68
Answer:
254.34 cm^2
Step-by-step explanation:
Volume of cylinder =
We know that the diameter is 6, which means that the radius is 3 cm.
Now, it also tell us that that the height is triple the radius, this means that we multiply it by 3. Therefore, the height is 9 cm.
Now we know r = 3 cm and h = 9 cm, pi is assumed to 3.14 as well.
Substituting into the formula we will end up with 254.34 cm^2.
Answer:
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Line c has a positive slope since it goes from -5 to -3. and kind d’s slope is 2/5 which is also positive so the answer is a)