Answer:
a) 54 mph to 144 mph
Step-by-step explanation:
We don't know the shape of the distribution, so we use Chebyshev's Theorem to solve this question. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
At least eight-ninths of the player's serves.
8/9 is approximately 89%
So
Mean: 99, standard deviation: 15
99 - 3*15 = 54
99 + 3*15 = 144
So the correct answer is:
a) 54 mph to 144 mph
Answer:
A and C
Step-by-step explanation:
<h3>A</h3>
![= \sqrt{ {5}^{2} + ( \sqrt{6})^{2} } \\ = \sqrt{25 + 6} \\ = \sqrt{31}](https://tex.z-dn.net/?f=%20%3D%20%20%5Csqrt%7B%20%7B5%7D%5E%7B2%7D%20%2B%20%28%20%5Csqrt%7B6%7D%29%5E%7B2%7D%20%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B25%20%2B%206%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B31%7D%20)
<h3>C</h3>
![= \sqrt{ {9}^{2} + {12}^{2} } \\ = \sqrt{81 + 144} \\ = \sqrt{225} \\ = 15](https://tex.z-dn.net/?f=%20%3D%20%20%5Csqrt%7B%20%7B9%7D%5E%7B2%7D%20%2B%20%20%7B12%7D%5E%7B2%7D%20%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B81%20%2B%20144%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B225%7D%20%20%5C%5C%20%20%3D%2015)
Step-by-step explanation:
Is this meant to be a question?
251+11x that’s the answer
Answer:
x = 30
Step-by-step explanation:
well the two agnles are congruent so they have to equal the same angle
x+ 90 = 4x
solve for x bye subtracting x from 90
90 = 3x slove by dividing 90 by 3 getting x alone
90/3 = x