Answer:
Write an equation that will model the proportional relationship given in each real world situation.
1. There are 3 cans that store 9 tennis balls. Consider the number of balls per can.
a. Find the constant of proportionality for this situation.
9 balls (B)
_________ = 3
3 cans (C)
b. Write an equation to represent the relationship.
b = 3c
Answer:
Step-by-step explanation:
2(x - 8) = 24
2x - 16 = 24
Bringing like terms on one side
2x = 24 + 16
2x = 40
x = 40/ 2
x = 20
Answer:

And we can find this probability using the normal standard table or excel and we got:

The figure shows the calculation for this case.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the hardness of a population, and for this case we know the distribution for X is given by:
Where
and 
We are interested on this probability

And the best way to solve this problem is using the normal standard distribution and the z score given by:

If we apply this formula to our probability we got this:

And we can find this probability using the normal standard table or excel and we got:

The figure shows the calculation for this case.
Step 1: Find the area of the base: pi(r^2)=3.14(8^2)=200.96
Step 2: Multiply area by height. Height= 3(8)=24
Volume= 24*200.96=<span>4823.04 inches
Hope this helps!</span>
Answer:
Step-by-step explanation:
We can plug this into a formula and get

the .9075 comes from 1 - the depreciation value of 9.25% which converts to .0925 in decimal form.
? is what we are trying to solve for.
We can divide both sides by 19,700 and we get

so ? is about 13.