Answer:
–0.83
Step-by-step explanation:
An r-value, or correlation coefficient, tells us the strength of the correlation in a linear regression. This number ranges from -1 to 1; -1 is a perfect linear fit for a decreasing set of data, while 1 is a perfect linear fit for an increasing set of data.
The closer the r-value is to either -1 or 1, the stronger the correlation is.
The two negative numbers we have are -0.83 and -0.67. The first one, -0.83, is 0.17 away from -1. -0.67, on the other hand, is 0.33 away from -1. The two positive numbers we have are 0.48 and 0.79. The first one, 0.48, is 0.52 away from 1. The second one, 0.79, is 0.21 away from 1. The one that is closest to the perfect fit is -0.83, since it is only 0.17 away from a perfect fit.
3/4 x 2/1 = 6/4
Simplify:
6/4 = 3/2
So, 3/2 or 1.5
It’s a right triangle because it has a 90 degree angle
Try breaking these into sections.
Twice: 2 times
The sum of: add
A number: choose a variable, like x
---Thus "the sum of a number and 4" becomes "add x and 4" which, mathematically, is "x+4"
-----Continuing to put it all together, "Twice the sum of a number and four" becomes "2 times (x+4)" which, mathematically, is "2(x+4)"
Is: equals
-------"Twice the sum of a number and four is" becomes "2(x+4)="
23 less than: subtract 23. This one tends to trick people; "23 less than" will become "__ - 23", NOT "23 - __"
three times the number: 3 times x
---"23 less than three times the number" becomes "subtract 23 from 3 times x" which, mathematically, is "3x-23"
-------So the final phrase: 2(x+4)=3x-23"
Answer:
Simplifying the expression 
we get 
Step-by-step explanation:
We need to simplify the expression
Solving:
Applying exponent rule: 
Factors of 
Factors of 
Replacing terms with factors
Using exponent rule: 
Using exponent rule: 
Now using exponent rule: 
So, simplifying the expression we get
