Answer:
2357.14
Step-by-step explanation:
x - .30x = 1500(1.10)
.7x = 1650
x = 2357.14
Answer:
q=7
Step-by-step explanation:
6+3q+4=31
10+3q=31
3q=31-10
3q=21
q=7
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:
(- 2, 1 )
Step-by-step explanation:
Given the 2 equations
- 3x - 4y = 2 → (1)
3x + 3y = - 3 → (2)
Adding the 2 equations term by term will eliminate the x- term, that is
0 - y = - 1
- y = - 1 ( multiply both sides by - 1 )
y = 1
Substitute y = 1 into either of the 2 equations and solve for x
Substituting into (2)
3x + 3(1) = - 3
3x + 3 = - 3 ( subtract 3 from both sides )
3x = - 6 ( divide both sides by 3 )
x = - 2
solution is (- 2, 1 )
Answer:
51 people
4x + 7y
Step-by-step explanation:
Given:
- small car holds 4 people
- large car hold 7 people
4 small cars and 5 large cars = 4 x 4 + 5 x 7 = 16 + 35 = 51 people
Let x = number of small cars
Let y = number of large cars
Number of people transported = 4x + 7y