Answer:
44 inches
Step-by-step explanation:
The side length is the square root of the area:
A = s^2
121 in^2 = s^2
√(121 in^2) = s = 11 in
The perimeter of a square is 4 times the side length (since all four sides are the same length).
P = 4s = 4(11 in) = 44 in
The perimeter of the square is 44 inches.
The area of a square is 121 square inches, what is the perimeter of the square? inches
The perimeter = 44 inches
Area = 121 inches²
.°. Length of a side = √(121 inches²) = 11 inches
Now,
Perimeter of the square =
Length of a side×4
= 11 inches × 4
= 44 inches.
Answer:
The Eleanor score is 2.06 deviations above the mean.
The Gerald score is 1.08 deviations above the mean.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Part a
Let X the random variable that represent the SAT scores of a population, and for this case we know the distribution for X is given by:
Where and
For this case we can calculate the z score with the following formula:
And if we replace we got:
So the Eleanor score is 2.06 deviations above the mean.
Part b
Let X the random variable that represent the ACT scores of a population, and for this case we know the distribution for X is given by:
Where and
For this case we can calculate the z score with the following formula:
And if we replace we got:
So the Gerald score is 1.08 deviations above the mean.
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