Answer:
divide 63 by 3 to get how many copies will be made in 1 min, 63/3= 21
divide 315 to 21 to know how many min it will take= 315/21= 15
It will take 15 min to make 315 copies!
Step-by-step explanation:
Hope this helps!!!
The volume of a sphere:

r - the radius
The diameter is twice the radius.
![d=36 \ in \\ r=\frac{36}{2} \ in = 18 \ in \\ \\ V=\frac{4}{3} \pi \times 18^3=\frac{4}{3}\pi \times 5832=\frac{23328}{3} \pi=7776\pi \ [in^3]](https://tex.z-dn.net/?f=d%3D36%20%5C%20in%20%5C%5C%0Ar%3D%5Cfrac%7B36%7D%7B2%7D%20%5C%20in%20%3D%2018%20%5C%20in%20%5C%5C%20%5C%5C%0AV%3D%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%5Ctimes%2018%5E3%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%5Ctimes%205832%3D%5Cfrac%7B23328%7D%7B3%7D%20%5Cpi%3D7776%5Cpi%20%5C%20%5Bin%5E3%5D)
The exact volume of the sphere is 7776π in³.
We have here as
as
, then the values are.

s=8.7
For the resulting of the test by the teacher he had,

With all of this dates to make the comparition we use the formula for Z values, that is



We know moreover that
= 0.052.
To find
we need to find 

Searching in the table of Normal Distribution for Z, and making the lecture we find that z_{critic} is, 1.95.
Answer:

Step-by-step explanation:
<u>Given</u> :
- f(x) = 2x² + 2
- g(x) = x² - 1
Now, this problem can be used using a simple formula.

Let's solve.
- (f - g)(x) = 2x² + 2 - (x² - 1)
- (f - g)(x) = 2x² - x² + 2 + 1
- (f - g)(x) = x² + 3
∴ The answer will be x² + 3.
mechanic #1's rate = x
mechanic #2's rate = y
* Their rate is dollars per hour ($/hr)
mechanic #1 worked for 20 hours (hr × $/hr = $)
20x = money earned by mech#1
and mechanic #2 worked for 5 hours
5y = money earned by mech#2
together they charged a total of $1150. So the amount of money earned by both mechanics.
20x + 5y = 1150
the sum of the two rates was $95 per hour.
x + y = 95
which means
x = 95 - y
plug (95 - y) in for "x" in the other equation to get everything in terms of one variable.
20(95 - y) + 5y = 1150
solve for y
1900 - 20y + 5y = 1150
1900 - 15y = 1150
-15y = 1150 - 1900
-15y = -750
y = -750/-15
y = 50 $/hr
Now use this to solve for x
x + y = 95
x + 50 = 95
x = 95 - 50
x = 45 $/hr
mech#1 charged 45$/hr
mech #2 charged 50$/hr