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Nataly [62]
3 years ago
15

8. There are 10 balls in a bag numbered from 1 to 10. Three balls are selected at random without replacement.

Mathematics
1 answer:
PIT_PIT [208]3 years ago
5 0

Answer:

a. 720

b. 0.3

Step-by-step explanation:

a.

Three balls are selected at random without replacement.

First ball can be selected in 10 ways

Second ball can be selected in 9 ways

Third ball can be selected in 8 ways

Thus, there are 10×9×8 =720 different ways of selecting three balls.

b.

There are three cases that satisfy this condition

  1. first ball picked is 5, the others are not
  2. first ball is not 5, second is 5, third is not
  3. first and second ball is not five, third ball is 5

Each probabilities are:

  1. \frac{1}{10} * \frac{9}{9} *\frac{8}{8} =\frac{1}{10}
  2. \frac{9}{10} *\frac{1}{9} *\frac{8}{8} =\frac{1}{10}
  3. \frac{9}{10} *\frac{8}{9} *\frac{1}{8} =\frac{1}{10}

Thus, one of the balls selected is the number 5 is then \frac{1}{10} + \frac{1}{10} + \frac{1}{10} = \frac{3}{10}

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Answer:

16. q

17. -4\frac{1}{3}

18. 0

Step-by-step explanation:

16. q

17. -4\frac{1}{3}

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3 years ago
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1. What is factorization? <br>2.Find the factorization of 891 and please explain!<br><br>Thank you!
Anastaziya [24]

Answer:

In mathematics, factorization (also factorisation in some forms of British English) or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.Prime factorization of 891 = 1×3×3×3×3×11= 1×34×11

Step-by-step explanation:

1. We write number 891 above a 2-column table  

2. We divide 891 by the smallest possible prime factor  

3. We write down on the left side of the table the prime factor and next number to factorize on the ride side

4. We continue to factor in this fashion (we deal with odd numbers by trying small prime factors)

5. We continue until we reach 1

6 0
3 years ago
I tried this few times can i get some help
mihalych1998 [28]

Answer:

Y=4 X= -6 or (-6,4)

Step-by-step explanation:

Okay so

3x+10y=22

-3x-8y=-14

  1. basically, it's like one big equation. First, subtract 3x from -3x which cancels out and gives us 0
  2. 10y minus 8y gives us 2y.
  3. 22 minus 14 gives us 8

3x+10y=22

<u>-3x-8y=-14</u>

0+2y=8

Now that we have this, we can solve for y. in order to do this, we have to divide both sides by 2.

\frac{2y}{2}  =  \frac{8}{2}

From here we know that y=4 because the 2s cancel out leaving y and 8 divided by 2 is 4.

y= 4

Now we can fill in. You can pick any equation for this but I'm going to chose the first one.

3x+10y=22

we can fill in 4 for y

3x+10(4)=22

3x+40=22

Next we are going to subtract 40 on both sides.

3x+40=22

-40 -40

3x= -18

Next, we're going to divide -18 by 3.

\frac{3x}{3}  =  \frac{  - 18}{3}

The 3s cancel out leaving us x. -18 divided by 3 is -6.

x= -6

Hope this helped!! :)

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3 years ago
47 + 34 = 3k + 3k + 3k<br> solve for k
ICE Princess25 [194]

Answer:

Step-by-step explanation:

47+34=9k

81=9k

k=81/9=9

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6 0
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Answer:

V=14

Step-by-step explanation:

3v=42 divide both sides by 3. getting v=14

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