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Ivahew [28]
3 years ago
12

1.Four Hatfields and five McCoys are up for 3 construction jobs in Williamson. What is the probability that all 3 jobs go to Hat

fields?
2.Three Hatfields and three McCoys are up for 3 construction jobs in Williamson. What is the probability that all 3 jobs go to Hatfields?

3.Four Hatfields and six McCoys are up for 3 construction jobs in Williamson. What is the probability that all 3 jobs go to Hatfields?
Mathematics
1 answer:
vaieri [72.5K]3 years ago
5 0

To find the probability that the Hatfields will win the jobs, you will find the chance of the Hatfields getting the job in each of the three opportunities and then multiply these together. This process is the same for all three examples given.


Ex 1:


There are 4 Hatfields and 5 McCoys, so 4/9 chance for the first job. The second job there would be 3 Hatfields remaining and only 8 total, so 3/8. Finally there would be 2 Hatfields remaining if 2 of them got the first 2 jobs leaving a total of 7 possible.


<u>4</u> <u>3 </u> <u>2</u>

9 x 8 x 7 = 1/21 chance


Ex 2:


<u>3</u> <u>2</u> <u>1</u>

6 x 5 x 4 = 1/20 chance


Ex 3:


<u>4</u> <u>3</u> <u>2</u>

10 x 9 x 8 = 1/30 chance


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Which expression has the same GCF as 15x2 - 21x?
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Answer:

15x^2 +21 x

Step-by-step explanation:

We have the following expression:

15x^2 -21 x

We can find the GCF with the following steps.

1. Find the GCF for the numerical part 15 and -21

The factors for 15 are : 1,3,5,15

The factors for -21 are -21,-7,-3,-1,1,3,7,21

And the common factors are 1,3

The GCF for the numerical part is 3*1 = 3

2. Find the GCF for the variable

The factors of x^2 are : x*x

The factors of x are: x

The common factors are x for this case, so then the GCF for the variable part is x

3. Multiply the two results from steps 1 and 2

GCf= 3*x = 3x

If we consider the new expression:

15x^2 +21x

We can find the GCF with the following steps.

1. Find the GCF for the numerical part 15 and -21

The factors for 15 are : 1,3,5,15

The factors for -21 are 1,3,7,21

And the common factors are 1,3

The GCF for the numerical part is 3*1 = 3

2. Find the GCF for the variable

The factors of x^2 are : x*x

The factors of x are: x

The common factors are x for this case, so then the GCF for the variable part is x

3. Multiply the two results from steps 1 and 2

GCf= 3*x = 3x

And as we can see both GCF are equal. So then we satisfy the condition required.

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