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Pie
3 years ago
14

there are 8 people fishing at lake connor: 5 have fishing licenses, and 3 do not. an inspector chooses two of the people at rand

on. what is the probability that the first person chosen does noy have a license and the second one does?​
Mathematics
1 answer:
lianna [129]3 years ago
5 0

Answer:

3 have a license, 5 do not have a license

the first choice is 5 out of 8, or 5/8

the second choice is 4 out of 7, or 4/7

(5/8)*(4/7)=20/56=10/28=5/14

another way to look at it is...

how many ways can you choose 2 people out of 8 people ?

8!/2!(8-2)!=8!/2!*6!=8*7/2=56/2=28 ways

how many ways can you choose 2 people out of 5 people ?

5!/2!(5-2)!=5!/2!*3!=5*4/2=20/2=10

10/28=5/14 again

call the 5 people who don't have a license A,B,C,D, and E

how can they be paired together ?

AB,AC,AD,AE,BC,BD,BE,CD,CE, and DE for a total of 10

again 10/28=5/14

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<u>Answer-</u>

\left(3x-6\right)\left(2x^2-7x+1\right)=6x^3-33x^2+45x-6

<u>Solution-</u>

Given the two polynomials are 3x-6, 2x^2 -7x+1

So their product will be,

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Distributing the Parentheses,

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Applying minus-plus rules,

=3\cdot \:2x^2x-3\cdot \:7xx+3\cdot \:1\cdot \:x-6\cdot \:2x^2+6\cdot \:7x-6\cdot \:1

Simplifying further,

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3 years ago
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Answer:

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