Answer:What was done from the first to the second equation was that the fraction was simplified. 126 and 32 have a common factors of 2.
126/32=(63*2)/(16*2)
The 2s in the top and bottom can cancel out, leaving the fraction 63/16.
In addition, since there are x terms on the top and bottom, they cancelled out as well.
x/x^3=1/x^2
This leaves an x^2 term on the bottom.
Thus, if a is 16, and b is 2, you will have an equivalent form of the fraction.
Step-by-step explanation:
Answer:
The equation of the line in standard form is

Step-by-step explanation:
The equation of the line in point slope form is

we have

so


step 2
Find the equation of the line in standard form
The equation of the line in standard form is

where
A is positive integer
B and C are integers
we have

Multiply by 4 both sides to remove the fraction


Answer:
.0625 or A
Step-by-step explanation:
You have to work out the mean. (The simple average of those numbers) Then for each number subtract the Mean and square the result. Then work out the average of those squared differences.
Answer:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Let X the random variable that represent interest on this case, and for this case we know the distribution for X is given by:
And let
represent the sample mean, the distribution for the sample mean is given by:
On this case
Solution to the problem
We want this probability:
The best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
Let
L---------> the length side of the box
W--------> the width side of the box
H-------> the height of the box
we know that

the surface area of the box is equal to

<u>Find the area of the base</u>

<u>Find the perimeter of the base</u>

<u>Find the surface area</u>


therefore
<u>the answer is</u>
the total area of the box that will be covered in gift wrap is 