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
So 90^2+90^2=c^2
8100+8100=c^2
16200=c^2
C= ~127.28
The slope-intercept form: y = mx + b
m - a slope
b - y-intercept (0; b)
-y + 8x = 2x |subtract 8x from both sides
-y = -6x |change signs
y = 6x
Answer: The slope m = 6, y-intercept b = 0 -> (0; 0).
I believe the GCF for the park 4 and 49 is 1.
Probability that the student got a 'C' GIVEN they are female = number of females that got a C in the test/number of females
From the information given,
number of females that got a C in the test = 12
number of females = 30
Thus,
Probability that the student got a 'C' GIVEN they are female = 12/30
We would simplify the fraction by dividing the numerator and denominator by 6. Thus,
Probability that the student got a 'C' GIVEN they are female = 2/5