Answer:
His unit rate per month is 25 dollars
Step-by-step explanation:
Cole has saved 25 dollars per month. by subtracting 190 from 265 you are left with 75. when left with 75 you can divide by 3 for the the 3 months hes been saving his money. 75 divided by 3 is 25.
A)
x^2 - 6x + c = - 5 + c
using a^2 - 2ab + b^2 = (a-b)^2
so
6x = 2 * x * 3
so
c = 9
Answer
c = 9
b)
substitute c = 9
x^2 - 6x + 9 = - 5 + 9
(x - 3)^2 = 4
Answer:
(x - 3)^2 = 4
c) solve for x
(x - 3)^2 = 4
(x - 3)^2 = 2^2
so
x - 3 = 2
x = 5
and
x - 3 = -2
x = 1
Answer: x = 1 , 3
We have two terms: 3x^3 and -9x
You have the correct GCF which is 3x. This GCF is factored out and placed to the left of the parenthesis, as you have done correctly so far.
Since 3x times x^2 is equal to 3x^3, this means that you have the proper first term inside the parenthesis. So far so good.
Where you make a mistake is with the second term inside the parenthesis. Notice how 3x times 2 is NOT equal to -9x
You need to fill in the blank:
3x times _________ = -9x
It turns out that -3 goes in that blank since 3x times -3 = -9x
This is why the final answer for problem 3 is 3x(x^2 - 3)
Answer:
A sample size of 392 is required.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error is:
18% of students struggle in their classes because they don't spend more than 8 hours studying independently outside of a 4-unit class.
This means that 
99% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
You would like to be 99% confident that your estimate is within 5% of the true population proportion. How large of a sample size is required?
A sample size of n is required.
n is found when M = 0.05. So
Rounding up:
A sample size of 392 is required.
Use the formula for area of a triangle:
Area = 1/2 x base x height.
Fill in what you know:
40 = 1/2 x 20 x height
Multiply both sides by 2:
80 = 20 x height
Divide both sides by 20
Height = 4 m
