We are given a line with the following data:
r-value = 0.657 (r)
standard deviation of x-coordinates = 2.445 (Sx)
standard deviation of y-coordinates = 9.902 (Sy)
We are asked to find the slope of the line up to 3 decimal places.
To find the slope of the line, based on the data that we have, we can use this formula:
slope, b = r * (Sy / Sx)
substitute the values to the formula:
b = 0.657 * ( 9.902 / 2.445 )
Solve for the b.
Therefore, the slope of the line is
b = 2.66078, round off to three decimal places:
b = 2.661 is the slope of the line.
1/2 cubed= 1/2 times 1/2 times 1/2
1/2 time 1/2 = 1/4
1/4 times 1/2 = 1/8
A: 1/2 cubed equals 1/8
I got you. The answer would be A (Certificate)
Hello!
This expression can be broken down into 3 separate parts:
1. "the quotient of a number and (-7)"
2. "decreased by 2"
3. "is 10"
We'll begin with the first part. The word "quotient" implies the result of a
division problem. Therefore, this part can be represented by the following expression (let "x" represent the unknown number):

Now we'll move on to the second part. If something is decreased by a value of 2, we know that 2 is being
subtracted. Therefore, this part can be represented by the following expression:
– 2
Now we'll move on to the third and final part. The phrase "is 10" implies that the operations preceding this part are
equal to 10. Therefore, this part can be represented by the following expression:
= 10
Finally, put the three parts together to create the following equation:

– 2 = 10
The equation has now been fully translated. If, however, you are required to find the unknown value (x), begin by adding 2 to both sides of the equation:

= 12
Now multiply both sides by (-7):
x = (-84)
We have now proven that
the unknown number is equal to (-84).I hope this helps!