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3 years ago

Use the probability model above to determine the successful outcome’s contribution to the expected value of the return.

Mathematics

1 answer:

Keith_Richards [23]3 years ago

8 0

Answer: Hence, Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Probability of successful outcome = 0.7

Probability of unsuccessful outcome = 0.3

Amount he get for successful outcome = $900

Amount he lost for unsuccessful outcome = -$1800

We need to find the expected value of return when there is successful outcome:

P(Success)× Amount for successful

$0.7\times \$900\\\\=\$630$

Hence, Option 'D' is correct.

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What is the area of a sector with a central angle of (2pi/3) radians and a diameter of 12 in?

Stels [109]

Answer:

The area of the sector is $37.68\ in^{2}$

Step-by-step explanation:

step 1

Find the area of the circle

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=12/2=6\ in$ ----> the radius is half the diameter

substitute

$A=(3.14)(6)^{2}$

$A=113.04\ in^{2}$

step 2

Find the area of a sector with a central angle of (2pi/3)

Remember that

The area of $113.04\ in^{2}$ subtends a central angle of $2\pi \ radians$

by proportion

Let

x----> the area of the sector

$\frac{2\pi}{113.04}=\frac{(2\pi/3)}{x}\\ \\x=113.04*(2\pi/3)/(2\pi)\\ \\x=37.68\ in^{2}$

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3 years ago

A fish tank is in the shape of a rectangular prism with dimensions 30 in. by 12 in. by 15 in. The tank is 90% filled with water.

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Answer:

4860 in ^3

Step-by-step explanation:

First we find the volume of the tank

V = l*w*h

V = 30*12*15

V = 5400 in ^3

It is 90% full so we multiply by 90 %

5400 * 90%

5400 * .90

4860 in ^3

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Step-by-step explanation:

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2 years ago

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Step-by-step explanation:

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2 years ago

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qaws [65]

Answer:

Depreciation and Written Down Value for first 5 years of purchase is explained.

Step-by-step explanation:

The Car was purchased for $18000 this will be depreciated at a rate of 20% per year.

Declining Method

Year 1

$18,000 * 20% = $3,600 Depreciation

$18,000 - $3,600 = $14,400 Written Down Value WDV

Year 2

$14,400 * 20% = $2,880 Depreciation

$14,400 - $2,880 = $11,520 WDV

Year 3

$11,520 * 20% = $2,304 Depreciation

$11,520 - $2,304 = $9,216 WDV

Year 4

$9,216 * 20% = $1,843 Depreciation

$9,216 - $1,843 = $7,373 WDV

Year 5

$7,373 * 20% = $1,475 Depreciation

$7,373 - $1,475 = 5,898 WDV

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2 years ago