Answer: 153.56
Step-by-step explanation:
Hi, to answer this question we have to apply the next formulas:
Volume of a cone: 1/3 π r² h
Where r is the radius and h is the height (unknown)
Diameter = r x 2
8 = 2r
8/2 =r
r = 4
Before calculating the volume we have to apply the Pythagorean Theorem to find h. (where the slant is the hypotenuse and h and r are the sides of the triangle)
10 ² = h² + 4²
Solving for h
100 = h² + 16
100-16 = h²
84= h²
√84 =h
9.16= h
Back on the volume formula:
V= 1/3 π r² h
V =1/3 π 4² (9.16) =153.56
When you factor you get (x-2)(x-3)=0 then x=2 and x=3
Answer:
Part A: a. the point 3 units to the left of 7
Part B: b. -4
Step-by-step explanation:
Part A: The expression can be simplified into 7 - 3, and when you subtract a number, you go left on the number line, so the point 3 left of 7
Part B: 7 - 3 = 4, and to get to 0 from 4, you need to subtract 4 or add -4
Answer:
Option B:


Classification:
The hypothesis test is Two-tailed.
Step-by-step explanation:
The mean length of imprisonment for motor-vehicle theft offenders in this country is 22.1 months.
This means that the null hypothesis is that the mean is of 22.1 months, that is:

A hypothesis test is to be performed to determine whether the mean length of imprisonment for motor-vehicle theft offenders in this city differs from the national mean of 22.1 months.
At the alternate hypothesis, we test if this mean is different of 22.1, that is:

Which means that the answer is given by option b).
Which of the following is the correct classification of the hypothesis test?
We test if the mean is different from a value, which means that the hypothesis test is Two-tailed.
Step-by-step explanation:
v(-2)= 12-2x(-2)-5
=12+4-5
=16-5
=11
v(0)= 12-2x0-5
= 12-0-5
=12-5
=7
v(5)= 12-2x5-5
= 12-10-5
=12-5
=7
<em><u>Hope </u></em><em><u>it </u></em><em><u>helps </u></em>