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Natali5045456 [20]
3 years ago
8

When 100 engines are shipped, all of them are free of defects.

Mathematics
1 answer:
Sonbull [250]3 years ago
4 0
C. None of the engines are defective.
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Eight rooks are placed randomly on a chess board. What is the probability that none of the rooks can capture any of the other ro
Brums [2.3K]

Answer:

9.11*10^-4 %

Step-by-step explanation:

To find the probability, you simply need to find the possible outcomes that allows no rooks to be in danger, and the possible amount of ways to place the rooks.

For the first outcome, you start by putting 1 rook in the first columns, you have 8 possible rows to do this. The next rook in the next column will only have 7 possible rows, as you have to exclude the one where the previous rook is located. The next rook, 6 possibilities, the next 5, and so on. So we conclude that the total amount of ways so that none of the rooks can capture any of the other rooks is 8*7*6*5*4*3*2*1 = 8! = 40320

In order to find the total amount of ways to place the rooks, you can just use a combinatoric:

\left[\begin{array}{ccc}64\\8\end{array}\right]= \frac{64!}{8!(64-8)!} = 4.43*10^9

Then:

P = \frac{40320}{4.43*10^9}*100\%=9.11*10^{-4}\%

5 0
4 years ago
A crew of highway workers paved 1/5 mile in 1/8 hour. If they work at the same rate, how much will they
Elan Coil [88]

Answer:

The easiest approach is to realise that one hour is 3 times longer than 20 minutes. The longer the time, the more they will pave.

215 of a mile, in 20 minutes, how much in 60 minutes?#

They will pave 3 times more.

215×31=615 of a mile

615=25 of a mile

You could also use the 'unitary method' where you find out how much they pave in ONE minute (divide by 20) and them multiply by 60 to find how much in one hour.

Look at what happens:

215÷20×60

=215×120×603

=215×3 ← exactly the same maths.

=25

6 0
3 years ago
The gym is filled with 215 students & adults. Student tickets are $.50 and adults are $2.00. If $250.00 was collected, how m
BARSIC [14]
In order to determine the correct answer, it would be helpful to set up equations. We do as follows:

Let x = students
      y = adults

x + y = 215
.50x + 2y = 250

SOlving simultaneously, we have:

x = 120 students 
y = 95 adults

Hope this answers the question. Have a nice day.
3 0
3 years ago
Write an equation of the graph:<br> y = |x| translated half a unit upward
Rudik [331]

Answer: y = I x l + 1/2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = –3x2 – 36x – 60? The
alexandr402 [8]

Answer:

It is actually A

Step-by-step explanation:

1. E

2.D

3.G

4.E

5.N

6.U

7.I

8.T

10.Y

7 0
3 years ago
Read 2 more answers
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