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pav-90 [236]
3 years ago
6

A sector with an area of 11/2 pie cm has radius of 3 cm what is the central angle measure of a sector in degrees

Mathematics
1 answer:
Nikolay [14]3 years ago
6 0
A= 1/360 m•pi r^2

11/2= 1/360 m• pi (3)^2

11/2= 1/360 m• pi • 9
Divide 360 by 9

11/2= 1/40 m pi

Cross multiply

440=2pi m

Divide both sides by 2pi

m= 70.02817 degrees round if necessary
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nirvana33 [79]

Answer:

The correct answer is D. 3 % p. a .

Step-by-step explanation:

For the investment offered, Martin is supposed to get $180 as an interest ($6,180 - $6,000).

Now Martin is borrowing $6,000 from the bank to make this investment. He should be charged $180, so that he breaks even on investment.

Thus using the formula:

Interest= Principal × Time ( per annum) × \frac{Interest rate}{100} ; (Here simple and compound interest are same as the sum borrowed is to be charged for a single year)

⇒ 180 = \frac{6000}{100} × 1 × Interest rate

⇒ 180 = 60 × Interest rate

⇒ Interest rate = 3

Thus the correct answer is 3% per annum.

3 0
3 years ago
1. consider a lottery with three possible outcomes: $125 will be received with probability 0.25, $100 will be received with prob
tigry1 [53]

The lottery's anticipated worth is $80.

Given that,

The probability of receiving $125 is 0.25; the likelihood of receiving $100 is 0.3; and the likelihood of receiving $50 is 0.45.

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The lottery's anticipated worth is $80.

The expected value is obtained by multiplying each result by its likelihood.

The expected value of the lottery is then calculated by adding up all of these.

This is what we have: ;;

125(0.2) + 100(0.3) + 50(0.5) (0.5)

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B) This is the formula for variance is shown in figure :

So, we can calculate the variance as follows:

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C) A risk-neutral person would pay $80 or less to play the lottery.

To learn more about probability click here:

brainly.com/question/14210034

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4 0
1 year ago
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Neporo4naja [7]

Answer:

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so,

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3 0
3 years ago
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Sidana [21]

Answer:

E

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b is the y-intercept and it's given, which is 9

When we plug in to the form we get:

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8 0
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Answer:

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