Answer:
0.0066
Step-by-step explanation:
Given that:
Mean
= 75
Variance 
The standard deviation 
The sample size n = 100









Using the Z table;
P(x > 83.7) = 1 - 0.9934
P(x > 83.7) = 0.0066
Thus, probability = 0.0066
Answer:
Step-by-step explanation:
The equation for the amount of money in an account after a certain amount is deposited and compounded after t years once per year is

Our A(t) = 33800, P = 4400, r = .075 and we are looking for t. Filling in:
and

Begin by dividing both sides by 4400 to get

The only way to move that t our from its current position as an exponent is to take the natural log of both sides and follow the rules for natural logs:

The power rule of natural logs says we can move that exponent down in front, giving us:

Divide both sides by ln(1.075) to get

Do this division on your calculator to get
t = 28.2 years
Answer:
$6
Step-by-step explanation:
We have: The cost of a taxi ride is represented by the function c(m)=2m+4
Plug 1 mile into "m" of the function c(m)=2m+4
So, we have c (1) = 2 ˣ 1 + 4 = 6
Thus, The cost per mile of the cab is $6.
Answer: The equation is 5x = 12.50 and you will have the canoe for 2 and half hours or 2 hours 30 minutes.
Step-by-step explanation:
You rent the canoe for 5 dollars per hour and that can be represented by the expression 5x. After sometime you paid $12.50 meaning that to find the number of hours that you need the canoe, we need to set 5x to equal 12.50.
5x = 12.50 Solve for x by divide both sides by 5.
x = 2.5
This means you will need the canoe for 2 and half hours.