An oil-drilling company knows that it costs $25,000 to sink a test well. if oil is hit, the income for the drilling company will be $815,000. if only natural gas is hit, the income will be $260,000. if nothing is hit, there will be no income. if the probability of hitting oil is 1/40 and if the probability of hitting gas is 1/20, what is the expectation for the drilling company?

The expectation for the drilling company is $8,375.

Step-by-step explanation:

We have that the expectation for the drilling company is:

is the income that is expected in relation to natural gas being hit. There is a 1/20 probability that gas is hit. If gas is hit, the income will be $260,000. So

is the income that is expected in relation to oil being hit. There is a 1/40 probability that oil is hit. If oil is hit, the income will be $815,000. So

25,000 is subtracted from the expectation because it is the cost to sink a test well.

So,

The expectation for the drilling company is $8,375.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

54 km / hours

step-by-step explanation:

we need to convert seconds to hours

60 seconds = 1 minutes

60 minutes = 1hour

15 m         60 second   60 minutes

  * *         = 54000 meters/ hour

second     1 minute             1 hour

now we need to convert meters to km

1000 m = 1 km

54000 m       1 km

*   = 54 km / hours

hour               1000m