Answer:
12. 9÷0.75.
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Answer:
x=2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2x−1−1=x−3−(−5+x)
2x−1−1=x−3+−1(−5+x)(Distribute the Negative Sign)
2x−1−1=x+−3+(−1)(−5)+−1x
2x−1−1=x+−3+5+−x
2x+−1+−1=x+−3+5+−x
(2x)+(−1+−1)=(x+−x)+(−3+5)(Combine Like Terms)
2x+−2=2
2x−2=2
Step 2: Add 2 to both sides.
2x−2+2=2+2
2x=4
Step 3: Divide both sides by 2.
2x
2
=
4
2
x=2
Answer:
--- test statistic
--- p value
Conclusion: Fail to reject the null hypothesis.
Step-by-step explanation:
Given


--- Null hypothesis
---- Alternate hypothesis

Solving (a): The test statistic
This is calculated as:

So, we have:






Solving (b): The p value
This is calculated as:

So, we have:

Look up the z probability in the z score table. So, the expression becomes


Solving (c): With
, what is the conclusion based on the p value
We have:

In (b), we have:

By comparison:

i.e.

So, we fail to reject the null hypothesis.