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harkovskaia [24]
3 years ago
6

The recycling industry employs approximately 1,025,000 more workers than the waste management company. Together they provide 1,2

75,000 jobs. How many jobs does each industry provide?
Mathematics
1 answer:
Anna [14]3 years ago
4 0

Answer:

The waste management company employs 125000 workers and the recycling industry employs 1150000 workers.

Step-by-step explanation:

GIven:

The recycling industry employs approximately 1,025,000 more workers than the waste management company.

Together they provide 1,275,000 jobs.

Now, to find how many jobs does each industry provide.

Let the waste management company employs workers be x.

And the recycling industry employs be 1,025,000+x.

Total they provide = 1,275,000.

According to question:

x+(x+1025000)=1275000.

2x+1025000=1275000.

Subtracting both sides by 1025000 we get:

2x=250000.

Dividing both sides by 2 we get:

x=125000.

So, the waste management company employs workers = 125,000.

And, the recycling industry employs workers = 1,025,000+125,000=1150000.

Therefore, the waste management company employs 125000 workers and the recycling industry employs 1150000 workers.

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Laura's school is holding an outdoor activities celebration event for its 20th anniversary. Laura decides to participate in the
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Probabilities are used to determine the chances of Laura winning an activity

  • The value of p is 1/12
  • The expected score of the game is -1/6
  • The probability that she has a total score of 5 after two rounds is 0

<h3>How to calculate the value of p</h3>

To calculate the value of p, we make use of the following probability formula

\sum P(x) = 1

So, we have:

\frac 3{12} + \frac 1{12} + \frac 4{12} + \frac 2{12} + p + \frac 1{12} = 1

Collect like terms

\frac 3{12} + \frac 1{12} + \frac 4{12} + \frac 2{12} + \frac 1{12}  + p= 1

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Subtract 11/12 from both sides

p = \frac 1{12}

Hence, the value of p is 1/12

<h3>(b) How to calculate the expected score</h3>

This is calculated using the following expected value formula

E(x) = \sum x * P(x)

So, we have:

E(x) = -3 * \frac{3}{12} -1 * \frac 1{12} + 0 * \frac 4{12} + 1 * \frac 2{12} + 2 * \frac 1{12} + 4 * \frac 1{12}

Evaluate the products

E(x) =  -\frac{9}{12} - \frac 1{12}  + \frac 2{12} + \frac 2{12} + \frac 4{12}

E(x) =  -\frac 2{12}

Simplify

E(x) =  -\frac 1{6}

Hence, the expected score of the game is -1/6

<h3>(c) The probability that she has a total score of 5 after two rounds</h3>

From the table, we have:

P(5) = 0

For after two rounds, we make use of the following equation

P(5) * P(5) = 0 * 0

P(5) * P(5) = 0

Hence, the probability that she has a total score of 5 after two rounds is 0

Read more about probabilities at:

brainly.com/question/25870256

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