Answer:
wow
Step-by-step explanation:
Answer:
<em>x = 9; Option C</em>
Step-by-step explanation:
If p ║q, we are provided with the following properties;
Same Side Interior / Exterior ∠s ⇒ supplementary,
Alternate Interior / Exterior ∠s ⇒ ≅,
Corresponding ∠s ⇒ ≅
If we are focusing on the measure of two alternate interior angles, say a and b, we can assign them as such;
a ⇒ 9x + 8, and b ⇒ 15x - 46
m∠ a = m∠ b ⇒ provided they are alternate interior ∠s,
9x + 8 = 15x - 46 ⇒ Add 46 on either side of equation,
9x + 54 = 15x ⇒ Subtract 9x from either side,
54 = 6x ⇒ Divide either side by 6,
<em>Solution; x = 9</em>
You can put the numbers where the variables are and do the arithmetic, or you can simplify the expression first. In the latter case, you have
(3a^(-2-(-1))b^(6-5)/2)^2 = (3a^(-1)b^1/2^2 = (3b/(2a))^2
= (3(-2)/(2(3)))^2 = (-1)^2 = 1
The value of the expression is 1.
Answer:
9 years
Step-by-step explanation:
Let's call the amount of years x. We can write
42 + x = 3(8 + x)
42 + x = 24 + 3x
2x = 18
x = 9
Answer:
The z-statistic lies in the critical region
Step-by-step explanation:
When a hypothesis test is performed, the decision to reject or not reject the null hypothesis is made on basis of following observations:
- If the z-statistic falls in the critical or rejection region, there is enough evidence to reject the Null Hypothesis
- If the z-statistic falls outside the critical or rejection region, there is not enough evidence to reject the Null Hypothesis.
In the given statement Zachary rejects the Null Hypothesis, this means the z-statistic she calculated must have been inside the critical or rejection region. Hence the correct answer would be:
The z-statistic lies in the critical region
