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:
(x - 5)(x + 3)
Step-by-step explanation:
Given
x² - 2x - 15
Consider the factors of the constant term (- 15) which sum to give the coefficient of the x- term (- 2)
The factors are - 5 and + 3, since
- 5 × 3 = - 15 and - 5 + 3 = - 2, thus
(x - 5)(x + 3) ← in factored form
Answer:
y = -20
Step-by-step explanation:
Move all terms not containing y to the right side of the equation.
Therefore, that is how you got your answer: y = -20