Answer:
<u>always</u>
Step-by-step explanation:
For this hypothesis test:
<u>The Decision rule: </u> To reject the null hypothesis
if the p-value is lesser than < the significance level.
At the level of significance 0.01, the null hypothesis is rejected.
So, p-value < 0.01 and this typically shows that p-value is < 0.05.
Therefore, it will <u>always</u> be rejected at ∝ = 0.05
Answer: 
Step-by-step explanation:
The missing figure is attached.
The perimeter of a rectangle is:

Where "l" is the lenght and "w" is the width.
You can identify in the figure that:

Then, knowing the perimeter of the rectangle, you can make the subsitution into the formula:

Now you must simplify and solve for "z"

Finally, substituting the value of "z" into
, you get:

Answer:
d < -5
Step-by-step explanation:
Okay, so the equation is -5(d-2)>35
First we have to use distributive property to get rid of the parenthesis.
we do -5(d) --> -5d
then, -5(-2) --> 10
So now we just redo the equation---
-5d + 10 > 35
now you have to isolate d, the variable
First, to isolate you have to get rid of 10. Subtract 10 on both sides.
-5d + 10 > 35
- 10 -10
----------------------
-5d > 25
Then you have -5d > 25. You have to do the opposite operation again to make the d by itself, so you divide -5 on each side.
-5d > 25
----- -----
-5 -5
-5d/-5 is d because the -5's cancel out. 25/-5 is -5. Now, you have to flip the equation because when working with inequalities, you have to flip the symbol.
SO,,, the answer is
d < -5
Hope this helps!!
-Ketifa
Answer:
Two numbers that when you multiply them and add them would give you 234 and 31 would be:
18 and 13
18*13=234
18+13=31
Hope this helps ;)