I’m pretty sure the answer is C
A- Since the radius is 22, the area is 1520.53, or, 1520.5 simplified.
Answer:
15.87% of the total number of cardholder would be expected to be charging 27 or more in the study.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 25 charged purchases and a standard distribution of 2
This means that 
Proportion above 27
1 subtracted by the pvalue of Z when X = 27. So



has a pvalue of 0.8413
1 - 0.8413 = 0.1587
Out of the total number of cardholders about how many would you expect are charging 27 or more in the study?
0.1587*100% = 15.87%
15.87% of the total number of cardholder would be expected to be charging 27 or more in the study.
Answer:
V = 43323 mm³
(second answer is already correct)
Step-by-step explanation:
these pennies make up the shape of a cylinder, so, we can solve this question by solving for the volume of a cylinder.
the volume of a cylinder can be found with the formula:
V = πr²h
(V = volume ; π = pi ; r = radius ; h = height)
We know the diameter of this cylinder is 19.05 mm. Diameter is two times the length of the radius, (diameter is all the way across, radius is from center to outer / halfway across) meaning that we can find the radius by dividing 19.05 by 2.
diameter = 19.05
radius = 19.05 / 2 = 9.525
so, r = 9.525
we also are given the height of this cylinder, 38 mm
so, h = 38
π = 3.14159 (π is a constant)
plugging our measurements into the volume formula:
V = πr²h
V = (3.14159)(9.525²)(38)
V = (3.14159)(362.9025)(38)
V = 43323.4894628
[rounded to V = 43323 mm³]
And yes, the volume is not affected by a change in shape. (you are correct)
hope this helps!!
ANSWER
B. 3 ft by 8 ft
EXPLANATION
The area is given as 24 square feet.
This implies that,

The perimeter of the rectangular field is given as 22 feet.
This implies that,

Or

We make w the subject in this last equation and put it inside the first equation.

When we substitute into the first equation we get;


This implies that,



When l=3, w=24
Therefore the dimension is 3 ft by 8 ft