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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 least common multiple of 9 and 42 through prime factorization?
LUCKY_DIMON [66]

Answer:

3

Step-by-step explanation:

9= 3*3

42=3*7*2

7 0
2 years ago
Mike wrote down a number on a piece of paper and hid it from his friends. He rounded his number to different places and his frie
Naddik [55]

Answer: 145,998, 7,000, and 25,991

My guess :))

Step-by-step explanation:

145,998  7,002  4,506  26,991   12,497

<u>First, Mike rounded his number to the nearest ten</u>

146,000  7,000  4,510   27,000   12,500

<u>Then, he rounded his number to the nearest hundred.</u>

146,000  7,000  4,500  27,000   12,500

<u>Last, he rounded his number to the nearest thousand.</u>

146,000  7,000  5,000  27,000   12,000

3 0
2 years ago
HELPPP
Rudiy27

Formula: A = 2wl + 2lh + 2hw

So... : A = 2(4x8) + 2(8x3) + 2(3x4)

         A = 2(32)   + 2(24)   + 2(12)

         A = 64 + 48 + 24

<u>Answer: A = 136</u> (add them all up)

Hope this helps!!!

:)

8 0
3 years ago
Which of the following is the correct factorization of the
Helga [31]

Answer:

The answer is b

Step-by-step explanation:

(4x+5)(16^2-20x+25)

3 0
3 years ago
Kristen has 64 coins in her bank. She has $9.25 in dimes and quarters. How many dimes and quarters does she have?
Stella [2.4K]
D= # of dimes
q= # of quarters

QUANTITY EQUATION:
d + q= 64

COST EQUATION:
0.10d + 0.25q= $9.25


STEP 1:
multiply quantity equation by -0.10 to be able to eliminate the d term in step 2

(-0.10)(d + q)= (-0.10)(64)
-0.10d - 0.10q= -6.40


STEP 2:
add equation from step 1 to cost equation to eliminate the d term and solve for q

Add
0.10d + 0.25q= $9.25
-0.10d - 0.10q= -6.40

0.15q= 2.85
divide both sides by 0.15

q= 19 quarters


STEP 3:
substitute q value in step 2 into either original equation to find d value

d + q= 64

d + 19= 64
subtract 19 from both sides

d= 45 dimes


CHECK:
0.10d + 0.25q= $9.25
0.10(45) + 0.25(19)= 9.25
4.50 + 4.75= 9.25
9.25= 9.25


ANSWER: There are 45 dimes and 19 quarters.

Hope this helps! :)
7 0
3 years ago
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