Answer:
The probability that Bentely will be selected first = 0.046
Step-by-step explanation:
The person will be randomly selected, it is not stated that sex is considered in the selection.
The total number of people present at the party = 10 + 12 = 22
The probability that Bentely will be selected first = 1/22
The probability that Bentely will be selected first = 0.046
Answer:
B. 90 + 90 √2
Step-by-step explanation:
From first base to the second base, it will travel 90 feet.
From the second base to the home plate, it will travel a longer distance. How much? Well, if you look at the layout of the field, you'll see that if you draw a line from second base to the home plate, you'll form two rectangular triangles, one with the 1st base, another one with the 3rd base.
The line from the 2nd base to home plate is the hypotenuse, which we can easily find by:
h²=90² + 90²
h = √(2 * 90²)
h = 90 √2
So, from second base to home plate, the ball has traveled 90 √2
Overall: 90 + 90 √2
put the decimal in the multiplication problem in the exact same point under the line then multiply as normal and you should get 152.6 meaning $152.60
The amount of Federal Taxes that Curtis pays annually would be 1538.68.
Answer:
The period of given function is ![Period = 16\pi](https://tex.z-dn.net/?f=Period%20%3D%2016%5Cpi%20)
So, Option B is correct.
Step-by-step explanation:
In this question we need to find the period of the function y= 3 sin x/8
The formula used to find period of function is: ![\frac{2\pi }{b}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Cpi%20%7D%7Bb%7D)
We need to know the value of b.
To find the value of b we compare the standard equation with the equation of function given.
Standard Equation: y = a sin(bx - c) +d
Given Equation: y= 3 sin(x/8)
Comparing we get:
a= 3
b= 1/8
c= 0
d=0
So, we get the value of b i.e 1/8. Putting it in the formula to find period of given function.
![Period = \frac{2\pi }{b}](https://tex.z-dn.net/?f=Period%20%3D%20%5Cfrac%7B2%5Cpi%20%7D%7Bb%7D)
![Period = \frac{2\pi }{\frac{1}{8}}](https://tex.z-dn.net/?f=Period%20%3D%20%5Cfrac%7B2%5Cpi%20%7D%7B%5Cfrac%7B1%7D%7B8%7D%7D)
Solving,
![Period = 2\pi *8](https://tex.z-dn.net/?f=Period%20%3D%202%5Cpi%20%2A8)
![Period = 16\pi](https://tex.z-dn.net/?f=Period%20%3D%2016%5Cpi%20)
So, the period of given function is ![Period = 16\pi](https://tex.z-dn.net/?f=Period%20%3D%2016%5Cpi%20)