Answer:
see explanation
Step-by-step explanation:
73.
18 = 3x
(divide both sides by 3 )
6 = x
( multiply both sides by
)
6
= 3x [
×
= 3 ]
divide both sides by 3
x = 2
74.
24 = 2x
( divide both sides by 2 )
12 = x
( multiply both sides by
)
12
= 2x ( divide both sides by 2 )
x = 6
75.
9
× x = 18
( divide both sides by 9
)
x = 2
76.
2 = x ×
( multiply both sides by
)
2
= 4x ( divide both sides by 4 )
x = 
The solution to the Questions are
- The alternate hypothesis demonstrates that there are two possible outcomes for the test.
- Decision rule: If z > 2.05 or z<-2.05, reject H0
- The two-tailed nature of the test is shown by the alternative hypothesis.
- The result of the test yields the following P-value: 0.0096
<h3>What is the alternate hypothesis?</h3>
(a)
The alternate hypothesis demonstrates that there are two possible outcomes for the test.
(b)
Here we have

(b)
Here the test is two-tailed. So for
, the critical values of the z-test are -2.05 and 2.05.
Decision rule: If z > 2.05 or z<-2.05, reject H0
(c)
Test statistics will be

z=2.59
(d)
The two-tailed nature of the test is shown by the alternative hypothesis.
(e)
The result of the test yields the following P-value: 0.0096
Read more about P-value
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Answer:
see explanation
Step-by-step explanation:
Given
(5y + 6)² = 24 ( take the square root of both sides )
5y + 6 = ±
= ± 2
( subtract 6 from both sides )
5y = - 6 ± 2
( divide both sides by 5 )
y =
and y = 