So because 25%=1/4 we would know to multiply 9*4
Which would get our answer to be 36 :)
For A. the muddy water will slowly begin to decrease because it's been left out in the sun, some of the water will begin to evaporate.
(I don't know about B, or C, but I tried my best on A.)
Make sure to put in your own words. :)
Answer:
absolute vlaue inequality: |x-3| > 9; solved: x<-6 and x>12
Step-by-step explanation:
I’m going to start this off by saying I learned all this right now by just searching up how to solve an absolute inequality equation and watching one video, so this might not be an accurate explanation. (I’m pretty sure the answer’s right though)
So an absolute value inequality must be written like this:
| x - a | *inequality* b
a is going to be the number that the inequality is centered around, in this case, 3. b will be how far you can deviate from that number, which in this case is 9.
Now, you will have this:
|x - 3| *inequality* 9
Now, to find the inequality, you need to understand the wording. If it says “more than” as it does here, then you would have the greater-than symbol (>). If you have “less than” then you’d have the less-than symbol (<). If the problem says “at least b away” then it would be greater-than-or-equal to (≥), and likewise, if it says “at most b away” then it would be less-than-or-equal-to (≤).
So now we're at:
|x - 3| > 9
To solve the equation, you just need to subtract 9(b) from 3(a) and add 9(a) to 3(b) to get -6 and 12. Since x must be more than 9 units away, you would get:
x<-6 and x>12
Hope this is helpful!
Answer:
a)Slope: 
Intercept: 
b) ![r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B7625.9%7D%7B%5Csqrt%7B%5B1248.9%5D%5B94228.8%5D%7D%7D%3D0.657)
And the determination coeffecient is 
Step-by-step explanation:
Data given and definitions
The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.
The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"
When we conduct a multiple regression we want to know about the relationship between several independent or predictor variables and a dependent or criterion variable.
n=110, 
Part a
The slope is given by this formula:
If we replace we got:
We can find the intercept with the following formula
We can find the average for x and y like this:
And replacing we got:
Part b
In order to calculate the correlation coefficient we can use this formula:
![r=\frac{\sum (x-\bar x)(y-\bar y) }{\sqrt{[\sum (x-\bar x)^2][\sum(y-\bar y)^2]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B%5Csum%20%28x-%5Cbar%20x%29%28y-%5Cbar%20y%29%20%7D%7B%5Csqrt%7B%5B%5Csum%20%28x-%5Cbar%20x%29%5E2%5D%5B%5Csum%28y-%5Cbar%20y%29%5E2%5D%7D%7D)
For our case we have this:
n=110,
So we can find the correlation coefficient replacing like this:
And the determination coeffecient is
