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vladimir2022 [97]
3 years ago
6

An oil-drilling company knows that it costs $65,000 to sink a test well. If oil is hit, the income for the drilling company will

be $550,000. If only natural gas is hit, the income will be $428,373. If nothing is hit, there will be no income. If the probability of hitting oil is 1/65 and if the probability of hitting gas is 1/35, what is the expectation for the drilling company? Should the company sink the test well?
Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
5 0

Answer: The expectation for the drilling company is $20700.76.

No, the company should not sink the test well as the cost for sinking is $65000 and our expectation is just $20700.76.

Step-by-step explanation:

Since we have given that

Probability of hitting oil = \dfrac{1}{65}

Probability of hitting oil = \dfrac{1}{35}

Income for the drilling company = $550,000

Income for the natural gas = $428,373

According to question, we get that

Expected for the drilling company would be :

\dfrac{1}{65}\times 550000+\dfrac{1}{35}\times 428,373\\\\=\$20700.76

No, the company should not sink the test well as the cost for sinking is $65000 and our expectation is just $20700.76.

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The sum of two consecutive ODD integers is -76. Find the integers.​
alexandr1967 [171]

Answer:

First number: -39

Second number: -37

Step-by-step explanation:

An odd number can be written as 2n+1 where n is a whole number.

Let's call our first number 2n+1.

Our second, consecutive number will be 2 more than our first number, since it has to be odd. All numbers go: odd -> even -> odd -> even. If we have an odd number, and add 2, we'll get the next odd number.

First number: 2n+1

Second number: 2n+1+2 = 2n+3

The sum of these two numbers, 2n+1 and 2n+3 will be -76.

(2n+1) + (2n+3) = -76

2n + 2n + 1 + 3 = -76

4n + 4 = -76

4n = -80

n = -20

Since our first number is 2n+1:

2 * (-20) + 1 = -40 + 1 = -39

First number: -39

Our second number is 2n+3, or 2 more than our first number.

-39 + 2 = -37

Second number: -37

We can double check this:

-39 + (-37) = -39 - 37 = -76

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Find the nth term of this number sequence <br> 1
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Answer:

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3 0
2 years ago
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Lemur [1.5K]

Answer:

1/5 = 2/10 = 3/15 = 4/20

= 5/25 = 6/30 = 7/35 = 8/40

= 9/45 = 10/50 = 11/55 = 12/60

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= 33/165 = 34/170 = 35/175 = 36/180

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Answer:

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Crystal: 552

Step-by-step explanation:

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And the proportion for Crystal is

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8x = 3 * 1472

8x = 4416

x = 4416 / 8

x =  552

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