Answer:
Total time = 56.81/60 + 59.22/60 + 57.39/60 + 60.11/60 = 3.89 minutes
Average Time in Minutes = 3.89 min / 4 = 0.97 minutes
Average Time in Seconds = 0.97 *60 = 58.38 Seconds
Step-by-step explanation:
Answer:
The appropriate hypotheses for performing a significance test is:


Step-by-step explanation:
Last year, the mean score on the state’s math test was 51. The administrators have trained the teachers in a new method of teaching math hoping to raise the scores on this standardized test this year.
At the null hypothesis, we test if the mean score this year is the same as last year, that is:

At the alternate hypothesis, we test if the mean score improved this year from last, that is:

The appropriate hypotheses for performing a significance test is:


Answer:
We conclude that (4, 2) is NOT a solution to the system of equations.
Step-by-step explanation:
Given the system of equations


Important Tip:
- In order to determine whether (4, 2) is a solution to the system of equations or not, we need to solve the system of equations.
Let us solve the system of equations using the elimination method.

Arrange equation variables for elimination

Subtract the equations




Now, solve -2x = 6 for x

Divide both sides by -2

Simplify

For y - x = -2 plug in x = -3


Subtract 3 from both sides

Simplify

The solution to the system of equations is:
(x, y) = (-3, -5)
Checking the graph
From the graph, it is also clear that (4, 2) is NOT a solution to the system of equations because (-3, -5) is the only solution as we have found earlier.
Therefore, we conclude that (4, 2) is NOT a solution to the system of equations.
Answer:
Hey there!
First, we want to find the side length of the large triangle.
1/2bh=y cm^2
bh=2y cm^2
Since b and h are the same here, we have b^2= 2y,
.
And we have FC=
.
Area of shaded triangle:
.
This is equal to:
, or y/4.
Let me know if this helps :)