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:
132
Step-by-step explanation:
1. -3(2z-8d) Solve within the parenthesis.
2. 2(6)=12, 8(7)=56
3. Do the math within the parenthesis with our new integers. 12-56=-44
4. multiply both integers now. -3(-44) = 132
*a negative times a negative wil give you a positive answer.
Answer (depending if the fraction is positive or negative):
- x ≥ 18
- x ≤ -18
Step-by-step explanation:
If the fraction is positive:
- Write it out:
- Multiply each side by 6 to cancel out the 6 under x. It should now look like this: x ≥ 18
If the fraction is negative:
- Write it out:
- Multiply each side by -6 to cancel out the -6 under x. It should now look like this: x ≤ -18
I hope this helps!
