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stepan [7]
3 years ago
10

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 15 feet and

a height of 20 feet. Container B has a radius of 19 feet and a height of 19 feet. Container A is full of water and the water is pumped into Container B until Container A is empty.
To the nearest tenth, what is the percent of Container B that is full after the pumping is complete?

pleaseee help meee
Mathematics
1 answer:
AfilCa [17]3 years ago
3 0

9514 1404 393

Answer:

  65.6%

Step-by-step explanation:

The question is essentially asking the ratio of the volumes.

  Va = πr²h = π(15²)(20)

  Vb = πr²h = π(19²)(19)

The ratio of volumes is ...

  Va/Vb = π(15²)(20)/(π(19³)) = (15²)(20)/19³ ≈ 0.65607

Container B will be about 65.6% full when container A is empty.

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Suppose that start-up companies in the area of biotechnology have probability 0.2 of becoming profitable, and that those in the
schepotkina [342]

Answer:

a) 0.03

b) 0.68

c) 0.32

Step-by-step explanation:

We are given the following in the question:

B: companies in the area of biotechnology

I: companies in the area of information technology

P(B) = 0.2

P(I) = 0.15

The two events are given to be independent.

a) P(both companies become profitable)

P(B\cap I) = P(B)\times P(I)\\= 0.2\times 0.15 = 0.03

0.03 is the probability that both companies become profitable

b) P(neither company becomes profitable)

P(B'\cap I')\\=P(B')\times P(I')\\=(1-P(B))(1-P(I))\\=(1-0.2)(1-0.15)\\=0.68

0.68 is the probability that neither company becomes profitable.

c) P(at least one of the two companies become profitable)

P(B\cup I) = P(B) + P(I) - P(B\cap I)\\= 0.2 + 0.15 - 0.03\\=0.32

0.32 is the probability that at least one of the two companies become profitable

4 0
3 years ago
HRLPPPPP IM FAILING MATHH
Gemiola [76]
It’s the third one

B=50.27 cm
V=371.97
7 0
3 years ago
HELP PLEASE IM BEGGING PLEASE PLEASE PLEASE
nasty-shy [4]

Answer:

h - 18 = 67

Step-by-step explanation:

If h is her height, then her height minus 18 is 67, or h - 18 = 67

4 0
3 years ago
Read 2 more answers
Plz help: What is 275 time 9000.
Kamila [148]
2,475,000 this your answer
8 0
3 years ago
Read 2 more answers
SOMEONE HELP ME PLEASE
jenyasd209 [6]

Answer: The median, because the data distribution is skewed to the left

EXPLANATION

Given the box plot with the following parameters: 

Minimum value at 11

First Quartile, Q1 at 22.5

Median at 34.5

Third Quartile, Q3 at 36

Maximum value at 37.5

First, we notice that the data distribution is skewed to the left because the median (34.5) is closer to the third quartile (36) than to the first quartile

(22.5).

Furthermore, we know that the mean provides a better description of the center when the data distribution is symmetrical while the median provides a better description of the center when the data distribution is skewed.

Therefore, we conclude that for the given box plot, the median will provide a better description of the center because the data distribution is skewed to the left.

4 0
3 years ago
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