Well you said you need to use a gallon of cleaner so that would be your answer but if your asking how much water you use then lets say there are 4 parts of cleaning solution in the gallon then you would say that there would need to be added is 12 parts of water. You could say one part of the cleaning solution is the gallon so then you would mix three gallons of water with it.
The way you figure this out is by taking the length (5/6) and subtracting the width (3/8). in order to subtract fractions, they need a common denominator. the number 24 works well for this as 8*3=24 and 6*4=24. in order to keep everything equivalent, we can only multiply by 1, but we can rewrite 1 by taking a number over itself, such as 3/3 and 4/4.
so if we take 5/6 and multiply by 4/4 (which is still equal to 1) we get 20/24.
next we multiply 3/8 by 3/3 (which is still equal to 1) we get 9/24.
now that we have a common denominator, we can simply subtract them. 20/24-9/24=11/24
this means our answer is C. 11/24 ft
Answer:
I'm sorry I'm not good at math
Step-by-step explanation:
sorry
Using the z-distribution, it is found that the 95% confidence interval to estimate the mean SAT math score in this state for this year is (472, 488).
We have the <u>standard deviation for the population</u>, which is why the z-distribution is used to solve this question.
- The sample mean is
. - The population standard deviation is
. - The sample size is
.
The interval is given by:
![\overline{x} \pm z\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%20%5Cpm%20z%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
We have to find the critical value, which is z with a p-value of
, in which
is the confidence level.
In this problem,
, thus, z with a p-value of
, which means that it is z = 1.96.
Then:
![\overline{x} - z\frac{\sigma}{\sqrt{n}} = 480 - 1.96\frac{100}{\sqrt{656}} = 472](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%20-%20z%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%20%3D%20480%20-%201.96%5Cfrac%7B100%7D%7B%5Csqrt%7B656%7D%7D%20%3D%20472)
![\overline{x} + z\frac{\sigma}{\sqrt{n}} = 480 + 1.96\frac{100}{\sqrt{656}} = 488](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%20%2B%20z%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%20%3D%20480%20%2B%201.96%5Cfrac%7B100%7D%7B%5Csqrt%7B656%7D%7D%20%3D%20488)
The 95% confidence interval to estimate the mean SAT math score in this state for this year is (472, 488).
A similar problem is given at brainly.com/question/22596713
So, the absolute value of a negative number and the same number in positive terms is the same.
<span>Imagine a number line with zero in the middle, and numbers stretching out negative on one side and positive on the other. Measure out "3" on your number line in each direction. So, -3 and 3.
</span>
The absolute value of each of those — its distance from zero — is the same.
Does that make sense?