M= y2-y1 -7- -1
------- = _-6_ = -3/2
x2-x1 5 -1 4
If you meant a thickness of 1/2 inch. . .
Because the inserts are put on all the sides, the dimensions of the usable space are 5 X 5 X 9. This means the diameter of the base is 5. The radius is half the diameter, so we divide 5 by 2 to get the radius. 5/2 = 2.5. Now, we plug in the radius and the height (9) into the formula for the volume of a cylinder, which is


So, D is correct.
ANSWER
m < -2
EXPLANATION
We want to find the solution set for m in:

First, collect like terms:

Now, divide both sides by -3. When you divide an inequality by a negative number, <em>the sign changes direction</em>:

This means that all values of m must be less than -2.
<em>None of the options contains the correct solution set.</em>
Answer:
Die is not fair given that Pvalue< 0.05, hence we reject Null hypothesis
a) H0: Die = fair
b) Ha : Die ≠ fair
c) df = 5
Step-by-step explanation:
The expected frequency of every face values = 20
a) state Null hypothesis
H0: Die = fair
b) Alternate Hypothesis
Ha : Die ≠ fair
c) degree of freedom
df = ( n - 1 )
= ( 6 - 1 ) = 5
n = sample size ( number of faces a die has )
Note : After conducting hypothesis test
Pvalue ≈ 0.0026
test statistic ≈ 18.30
Hence we can conclude that die is not fair given that Pvalue < 0.05, hence we reject Null hypothesis