Answer:
Step-by-step explanation:
The distributive property states that 
So:

Hope that makes sense!
Answer:
So first you have 5(8x+3)
And then you simplify it:
5(8x)=40x
5(3)=15
And then you get 40x+15
Answer:
$150
Step-by-step explanation:
In this case, we have a random variable with four possible outcomes
0, 1000, 5000 and 10000
and four possible probabilities of occurrence
0.83, 0.10, 0.05 and 0.02
respectively.
The expectation of this random variable is (* means multiplication),
0.83*0 + 0.10*1000 + 0.05*5000 + 0.02*10000 = 100 + 250 + 200 = 550
This represents the amount of money the company expects to pay a customer in a given year.
As the deductible is $500, the customer would pay $500 in case of an accident, so the company would only have to pay
$550 - $500 = $50.
So, if the company wishes a profit of $100, the premium amount should be $150.
Answer:
45 students are in the Environmental Club
Step-by-step explanation:
25/100 = x/180 (cross multiply)
(180 * 25) / 100 = 45
Answer:
Base of the ladder is 3 meters away from the building.
Step-by-step explanation:
Let's use Pythagoras theorem to solve.
Pythagoras theorem says,

Here let horizontal distance is "a''
Vertical distance of window is 4 m
So, b=4
The Rafi leans 5 m ladder against the wall. So, c=5.

Simplify it

Subtract both sides 16

Take square root on both sides
a=±3
So, base of the ladder is 3 meters away from the building.