
Step-by-step explanation:
The line will have the same slope as the given line, which is m = 3. Therefore, the equation of the line in its slope-intercept form is

Next we need to solve for b by plugging in the coordinates of the given point:

So the equation of the line is

Answer:
a) 29.23% probability that a randomly selected home run was hit to right field
b) 29.23% probability that a randomly selected home run was hit to right field, which is not lower than 5% nor it is higher than 95%. So it was not unusual for this player to hit a home run to right field.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes. It is said to be unusual if it is lower than 5% or higher than 95%.
(a) What is the probability that a randomly selected home run was hit to right field?
Desired outcomes:
19 home runs hit to right field
Total outcomes:
65 home runs
19/65 = 0.2923
29.23% probability that a randomly selected home run was hit to right field
(b) Was it unusual for this player to hit a home run to right field?
29.23% probability that a randomly selected home run was hit to right field, which is not lower than 5% nor it is higher than 95%. So it was not unusual for this player to hit a home run to right field.
Answer:
For K=0

For K=1:

For K=2:

For K=3:

For K=4:

Step-by-step explanation:
Fifth Root is given by:
![\sqrt[5]{z}=1+0i](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bz%7D%3D1%2B0i)
The above equation will become:

It can be written as:
![z=[cos(0)+isin(0)]^5](https://tex.z-dn.net/?f=z%3D%5Bcos%280%29%2Bisin%280%29%5D%5E5)
|z|=1,
According to De-moivre's Theorem:

Now, Fifth Roots of unity in standard form a + bi :
![\sqrt[5]{z}=[{cos(0+2\pi k)+isin(0+2\pi k)}]^{1/5}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bz%7D%3D%5B%7Bcos%280%2B2%5Cpi%20k%29%2Bisin%280%2B2%5Cpi%20k%29%7D%5D%5E%7B1%2F5%7D)
k=0,1,2,3,4
For K=0

For K=1:

For K=2:

For K=3:

For K=4:

Answer:
-3.25
Step-by-step explanation: