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:


24 and 28
These are the only two numbers (other than 20 itself) that have a factor of 4. And if you were to find all of their common factors, 4 would be the greatest!
Since x = y + 2
so
y + 2 + 4y = 7
5y + 2 = 7
5y = 7-2
5y = 5
y = 1
x= y + 2
x = (1) + 2
x = 3
(x,y) = (3,1)
Answer:
6/5
Step-by-step explanation:
just simply both numbers by their greatest common factor
Answer:
The distance between the greater sides is 4.8 cm
Step-by-step explanation:
step 1
Find the area of parallelogram
we know that
the perpendicular distance between the smaller sides is also the height of parallelogram
The area of parallelogram is equal to multiply the length of the smaller side by the perpendicular distance between the smaller sides
so

step 2
Find out the distance between the greater sides
we know that
The area of parallelogram is equal to multiply the length of the greater side by the perpendicular distance between the greater sides
Let
x ----> the perpendicular distance between the greater sides
so

we have

substitute

solve for x
