Answer:
x = 32
Step-by-step explanation:
If x and y vary inversely, then xy = k where k is the constant of proportion
4(8) = 32 = k
Now, xy = 32
1(x) = 32
x = 32
Answer:
2,160 pencils
Step-by-step explanation:
Large boxes = 12
Small boxes = 18
Each large box contains 144 pencils . Each small box contains 24 pencils
Total pencil in large boxes = Total large boxes × number of pencils per box
= 12 × 144
= 1,728 pencils
Total pencil in small boxes = Total small boxes × number of pencils per box
= 18 × 24
= 432 pencils
Estimate the total number of of pencils
Total number of pencils = total pencils in large boxes + total pencil in small boxes
= 1,728 pencils + 432 pencils
= 2,160 pencils
It is better to have an underestimate than an overestimate so that you won't disappoint your buyers when they request for a quantity of supply. If it is underestimated; you can meet demand, if it is overestimated; you can't meet demand
ANSWER

EXPLANATION
From the graph, the coordinates of Y are:

We want to find the image of this point after a dilation by a scale factor of -½ about the origin.
The rule for the dilation is :

To find the coordinates of Y', we plug the coordinates of Y.


The first choice is correct.
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.
Answer:
p > -18
Step-by-step explanation:
-2/3p - 4 < 8
-2/3p < 12
p > 12 x -3/2
p > -18