Answer:
For
we will have positive values only.


Rest are positive so will give positive values out of the modulus function.
Step-by-step explanation:
The absolute value of any number is its positive value only.
As for example
and
both are having equal distance from
in a number line, one on the left other on the right side of the number line but are equidistant from
.
So absolute value of a number is its distance on number line from reference point
.
One by one we will work with all of our question.





So we have to take the positive number out of the modulus function that is also called absolute value.
is
so it should be between 0 and 1 but a little bit closer to 1.
Answer:
He has 42 books in total.
Step-by-step explanation:
You add 9 + 33 to get 42. 3 plus 9 is 12, so the 1 is carried over to the other 3. Add those together to get a sum of 42.
Answer:

And for this case the interpretation for the slope would be that for every unit that the height in inches increase then the weight in pounds increase 6 units.
For the intercept of 135 represent the amount initial amount of weight for the scale.
Step-by-step explanation:
We assume that they use least squares in order to create the regression equation
For this case we need to calculate the slope with the following formula:
Where:
With these we can find the sums:
And the slope would be:
The means for x and y are given by:
And we can find the intercept using this:
For this case we know that the line adjusted is:

And for this case the interpretation for the slope would be that for every unit that the height in inches increase then the weight in pounds increase 6 units.
For the intercept of 135 represent the amount initial amount of weight for the scale.