Answer:
This function represents a direct variation because it passes through the origin and has a constant rate
Answer:0.001
x=the number of workers taking the bus to work
p= probability of success =(15/100) = 0.15
q= probability of failure =1- p = 0.85
P(X=6) = 10C6(0.15)^6(0.85)^4
= 0.001
The first step for solving this equation is to determine the defined range.

, x ≠ 1
Remember that when the denominators of both fractions are the same,, you need to set the numerators equal. This will look like the following:

= 5
Take the root of both sides of the equation and remember to use both positive and negative roots.
x +/-
![\sqrt[4]{5}](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B5%7D)
Separate the solutions.
x =
![\sqrt[4]{5}](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B5%7D)
, x ≠ 1
x = -
Check if the solution is in the defined range.
x =
x = -
This means that the final solution to your question are the following:
x =
x = -
Let me know if you have any further questions.
:)
A) If you cut off half the peaks (3.5 ft down from the top), they will just fill the valleys making a rectangle 18.5 ft by 30 ft. The area is the product of these dimensions.
A = (18.5 ft)*(30 ft) = 555 ft²
b) To determine the number of quarts of paint required, divide this number by 90 ft². Since you cannot buy a partial quart, if there is any remainder, use the next higher integer number of quarts.
555/90 ≈ 6.2 so Pat should buy 7 quarts of paint.