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2 years ago

A cube has the volume of 216 in3 determine the area of on face of the cube

Mathematics

1 answer:

lara31 [8.8K]2 years ago

7 0

Answer:

36 inches squared

Step-by-step explanation:

volume is found by length x width x height on a cube they are all the same

so its x³ = 216

∛x³ = ∛216 get cube root of both sides

x = 6 (∛x³ cube root of x cubed is just x)

face is sides x sides so thats 6 x 6 = 36

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A cylinder has height of 7 inches and a base with a diameter of 9 inches.

bekas [8.4K]

Answer:

527.6 cubic inches

Step-by-step explanation:

The volume of a cylinder is represented by the formula $V = \pi r^{2} h$ , where r represents the radius of the base and h represents the height.

In this question, the diameter is given as 9 inches. Since the radius is half the diameter, the radius will be 4.5 inches.

Substituting in the values and solving, we get:

$V =9 \pi (4.5)^{2}\\V = 9\pi(20.25)\\V = 182.25\pi\\V = 572.6$

The Volume will be 527.6 cubic inches

6 0

3 years ago

A manufacturing company produces parts that are good (90%), partially defective (2%), or completely defective (8%). These parts

Schach [20]

Answer:

The probability that a part is good given that it passed the inspection machine is P=0.978.

Step-by-step explanation:

As the inspection machine detect and discard any part that is completely defective, only the good and partially defective parts passed this inspection.

Then, if we have:

Probability of being a good part P(G)=0.90

Probability of being a patially defective part P(P)=0.02

Probability of being a completely defective part P(D)=0.08.

Probability of passing the inspection machine = 1-P(D)=1-0.08=0.92

Then, the probability of having a good part, given that it passed the inspection machine is:

$P(G|Pass)=P(G)/P(Pass)=0.90/0.92=0.978$

4 0

3 years ago

Alonzo describes a histogram as having a cluster from 20–50, a frequency of 0 from 10–20, and a peak at 40–50. Which histogram i

Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

In the histogram described by the first option, the peak (18) is located at 40-50. Also, a frequency of zero is observed for range 10-20. The cluster from 20–50 means that most of the data is between this range, in fact, only 1 point is located at range 0 - 10, outside this cluster.

8 0

3 years ago

Read 2 more answers

Ginny's earnings from her lemonade stand decreased by 18% from last week to this week Ginny used the following expression to

jolli1 [7]

100-18= 82

B is your answer

8 0

2 years ago

I need help going through the steps of a problem please tell steps and not just answer

mezya [45]

Answer:

x = 5/7

Step-by-step explanation:

4 (0.25 - 2) = x - 0.75 (16 - 8x)

1 - 8 = x - 12 + 6x

1 - 8 + 12 = x + 6x

5 = 7x

5/7 = x

4 0

3 years ago