Answer: 95.64% of the values will be below 212.5 in our set of data.
First, determine the z-score for the expected value of 212.5. The z-score is the number of standard deviations that it is above or below the mean.
(212.5 - 192.3) / 11.8 = 1.71
A score of 212.5 is 1.71 standard deviations above the mean. Now, use a table to find the probability for a z-score of 1.71. The percent is 95.64%.
Answer:
Step-by-step explanation:
Simplifying
4x + 11 = k
Reorder the terms:
11 + 4x = k
Solving
11 + 4x = k
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-11' to each side of the equation.
11 + -11 + 4x = -11 + k
Combine like terms: 11 + -11 = 0
0 + 4x = -11 + k
4x = -11 + k
Divide each side by '4'.
x = -2.75 + 0.25k
Simplifying
x = -2.75 + 0.25k
<h3>
Answer: 96 dollars</h3>
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Explanation:
Compute the area to get 12*8 = 96 square yards
We can think of it like having 96 squares and each square costs $1. So naturally the total cost is 96*1 = 96 dollars.
Answer:
Option B: Rotation
Step-by-step explanation:
The shape appears to have the same size, but it has been moved in a way that is not reflection. Through the process of elimination, the answer is rotation.