Answer:
The absolute difference is:
If we find the % of change respect the before case we have this:
So then is a big change.
Step-by-step explanation:
The subindex B is for the before case and the subindex A is for the after case
Before case (with 500)
For this case we have the following dataset:
500 200 250 275 300
We can calculate the mean with the following formula:
And the sample deviation with the following formula:
After case (With -500 instead of 500)
For this case we have the following dataset:
-500 200 250 275 300
We can calculate the mean with the following formula:
And the sample deviation with the following formula:
And as we can see we have a significant change between the two values for the two cases.
The absolute difference is:
If we find the % of change respect the before case we have this:
So then is a big change.
Area is base x height over 2
64 x 7.3 = 467.2
467.2/2 = 233.6
the area is 233.6m^2
Answer:
Step-by-step explanation:
Mariam is making two types of paper lanterns. One type of flashlight needs 0.75 square feet of cardboard, while the other needs 1.15 square feet. If she made 5 of each type of flashlight, it means that
For the first type flashlight that she made, she used 0.75 × 5 = 3.75 square feet of cardboard.
For the second type of flashlight she made, she used 1.15 × 5 = 5.75 square feet of cardboard.
Total amount of cardboard used is
3.75 + 5.75 = 9.5 square feet
Mariam has 12.75 square feet of paper left over. Assuming the total square feet of cardboard that she used is x, then x = amount of cardboard used + the amount that is left over. It becomes
x = 9.5 + 12.75 = 22.25 square feet
She used 22.25 square feet
Answer:
The town recreation department ordered 66 baseballs and 24 bats.
Step-by-step explanation:
Let the number of baseball be 'x'.
Also Let the number of bats be 'y'.
Given:
Total items bought = 100
Now we can say that;
Total items bought is equal to sum of number of baseball and number of bats.
Framing in equation form we get;
Also Given:
Cost of each baseball = $4.50
Cost of each bat = $20
Total purchase = $822
Now we can say that;
Total Purchase is equal to to sum of number of baseball multiplied by Cost of each baseball and number of bats multiplied by Cost of each bat.
framing in equation form we get;
Multiplying equation 1 by 4.5 we get;
Now Subtracting equation 3 from equation 2 we get;
Dividing both side by 15.5 we get;
Substituting the value of y in equation 1 we get;
Hence the town recreation department ordered 66 baseballs and 24 bats.