It will take 0.4 seconds to get to the home plate.
Given:
The speed of the pitch thrown by Justin is 100 miles per hour
The distance of home plate from the pitching rubber is 60.5 feet
To find:
The time taken by a pitch to reach the home plate
Solution:
The distance home plate from the pitching rubber = d = 60.5 feet

The speed of pitch thrown by Justin = s = 100 miles/hr
The time taken by a pitch to reach the home plate = t =?
The speed of the moving object is given by dividing the distance covered from the time taken to cover that distance.

In an hour there are 3600 seconds, then in 0.000114583 hours will be:

It will take 0.4 seconds to get to the home plate.
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Answer:
119.2
Step-by-step explanation:
Given the following :
Mean (m) = 100 years
Standard deviation (sd) = 15 years
closest to the age of a Galápagos Islands giant tortoise at the 90th percentile of the
distribution?
Obtain the Zscore for 90th percentile (0.90) on the z table = 1.28
Zscore = (X - mean) / standard deviation
1.28 = (X - 100) / 15
1.28 × 15 = X - 100
19.2 = X - 100
19.2 + 100 = X
X = 119.2
Answer:
-4
Step-by-step explanation:
The function is linear; therefore, the slope of the line joining any two points is the same.
We take any two points from the table and compute the slope or rise/ run between them— let is take points (-4, -2) and (-2, -10).
The slope
of the line joining the points is

The slope of the function is -4.
Answer:

And we can find this probability like this:

And we can replace the values and we got:

Step-by-step explanation:
For this case we define the random variable Y as: the number of slices of cheesecake left on the platter after the first serving. And we have the following distribution for Y:
Y | 0 1 2 3 4
P(Y) | 0.005 0.114 0.429 0.381 0.071
And we want to find the following probability:

And we can find this probability like this:

And we can replace the values and we got:

I would go with Either E or A