Answer:
Step-by-step explanation:
so f-1(x) means we are finding the inverse
f(x) = 3x - 7.....change f(x) to y
y = 3x - 7.....now switch ur x and y and solve for y
x = 3y - 7....add 7 to both sides
x + 7 = 3y...divide both sides by 3
(x/3) + 7/3 = y....rearrange
y = (x/3) + 7/3....can also be written as : y = 1/3x + 7
now just change ur y to f-1(x)
f-1(x) = x/3 + 7/3.....or f-1(x) = 1/3x + 7/3
Well pie is 3.14 etc.
And the way to find that out is by:
~Using the formula.
~To find out what the circumference is you have to use this formula<span>
C= π*d =2*π*r
</span>~Pi<span> equals a circle's circumference divided by its diameter.
</span>~If you plug in the numbers in a calculator the numbers should be 3.14.
Answer:
a) 0.9
b) Mean = 1.58
Standard Deviation = 0.89
Step-by-step explanation:
We are given the following in the question:
A marketing firm is considering making up to three new hires.
Let X be the variable describing the number of hiring in the company.
Thus, x can take values 0,1 ,2 and 3.

a) P(firm will make at least one hire)

Also,


b) expected value and the standard deviation of the number of hires.
![E(x^2) = \displaystyle\sum x_i^2P(x_i)\\=0(0.1) + 1(0.4) + 4(0.32) +9(0.18) = 3.3\\V(x) = E(x^2)-[E(x)]^2 = 3.3-(1.58)^2 = 0.80\\\text{Standard Deviation} = \sqrt{V(x)} = \sqrt{0.8036} = 0.89](https://tex.z-dn.net/?f=E%28x%5E2%29%20%3D%20%5Cdisplaystyle%5Csum%20x_i%5E2P%28x_i%29%5C%5C%3D0%280.1%29%20%2B%201%280.4%29%20%2B%204%280.32%29%20%2B9%280.18%29%20%3D%203.3%5C%5CV%28x%29%20%3D%20E%28x%5E2%29-%5BE%28x%29%5D%5E2%20%3D%203.3-%281.58%29%5E2%20%3D%200.80%5C%5C%5Ctext%7BStandard%20Deviation%7D%20%3D%20%5Csqrt%7BV%28x%29%7D%20%3D%20%5Csqrt%7B0.8036%7D%20%3D%200.89)
Answer: x = 50
Step-by-step explanation:
Answer is in the picture bellow
Step-by-step explanation: