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Dima020 [189]
3 years ago
13

A professor has learned that three students in his class of 20 will cheat on the final exam. He decides to focus his attention o

n four randomly chosen students during the exam. What is the probability that he finds at least one of the students cheating
Mathematics
1 answer:
miss Akunina [59]3 years ago
4 0

Answer:

6%

Step-by-step explanation:

3/20=4/x

It is a indirect proportion so we reciprocal,

Then,

3/20=x/40

3×40=20×x

120=20x

x=120/20

x=6

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Find the volume of the composite solid. Round your answer to the nearest tenth.
mihalych1998 [28]

The volume of the composite solid is 645.97 cubic cm

<u>Step-by-step explanation:</u>

Given that,

The side of the cube = 8cm

Diameter of the hemisphere= 8cm

Radius = 4cm

Volume of cube = 8 x 8 x 8

= 512 cubic cm

Volume of hemisphere= (2/3) π (4 x 4 x 4)

= (2/3) π (64)

= (2/3) (3.14) (64)

= 133.97 cubic cm

Total volume = 512 + 133.97

= 645.97 cubic cm

The volume of the composite solid is 645.97 cubic cm

6 0
3 years ago
A hat is originally priced at $22 and now it is $18. What percent is the sales price of the total bill?
Bogdan [553]

So this means that you are asking $18 is what percent of $22.

First: Divide 18 by 22.

Second: You get the repeating decimal of 0.81818181.

Third: Find the first 2 decimals and use it, so the answer is approximately 81%.

7 0
3 years ago
Freddie swam 5/7 laps on Monday, Tuesday, and Wednesday. 1/4 laps on Thursday and Friday. How many laps did he swim in total?
blagie [28]

Answer: 27/28 or 0.9642857

   

Step-by-step explanation:

5/7 + 1/4 = 5 · 4/7 · 4 + 1 · 7/4 · 7 = 20/28 + 7/28 = 20 + 7/28 = 27/28

6 0
3 years ago
James knows that when he walks, he takes about 120 steps per minute and that each step is 2.75 feet long. Which calculation is m
mafiozo [28]
Speed=120step/min=720step/h
Distance=720step/h×2.75feet/step=1980feet/h=0.375miles/h
So the answer is: he can walking 0.375miles per hour

3 0
3 years ago
Read 2 more answers
3) A box of tile contains 12 tiles. If
vichka [17]

Answer:

3 tiles left

Step-by-step explanation:

You can only use a maximum of 9 tiles to make a perfect square. You would need 7 more tiles to make a larger square. Having used 9 tiles, you will have 3 leftover. (12 - 9 = 3)

Hope I helped!

3 0
3 years ago
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