Answer:
The percentage of the students scored higher than 89% is 15.87%
Step-by-step explanation:
we are given
The average test scores for a particular test in algebra was 84
so, mean is 84

a standard deviation of 5
so,

we have
x=89
now, we can use z-score formula

now, we can plug values


now, we can use calculator
and we get

So,
The percentage of the students scored higher than 89% is 15.87%
Answer:
6x^3 + 3x^2 - x
Step-by-step explanation:
6x^3 - X x (1-3x)
= 6x^3 - x + 3x^2
=6x^3 + 3x^2 - x
For this case we have the following polynomial:

We must find the greatest common factor of the terms of the polynomial.
The GCF of the coefficients is given by:

Then we look for the GFC of the variables:
We have then:

Finally rewriting we have:

Answer:
the complete factored form of the polynomial is:

Answer:
For number 2 the answer is 8/6=20/15
The answer for 3 is 12:26
Step-by-step explanation:
A unit multiplier is a conversion factor of value 1 that we can use to convert quantities.
We want to convert 123 pounds per mile to ounces per centimeter.
First, we are going to express the quantity to convert as a fraction:
123 pounds per mile=

Next, we are going to find our multipliers:
- We know for our problem that there are 5,280 feet in 1 mile, so our first multiplier will be:

- We also know that there are 16 ounces in 1 pound, so our second multiplier will be:

- We know that there are 12 inches in 1 foot, so our third multiplier will be:

- We know that t<span>here are approximately 2.54 cm in 1 inch, so our fourth multiplier will be: </span>

Now we can put all our multipliers together:

We can conclude that the answer is
0.01