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qwelly [4]
3 years ago
7

A circle is shown below. What is the area of the unshaded sector?

Mathematics
1 answer:
Natasha2012 [34]3 years ago
7 0

Answer: b 8 pie

Step-by-step explanation:

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Point M is located in the third quadrant of the coordinate plane, as shown.
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It is in quadrant three

Step-by-step explanation:

The points of M means there x and y will both be negatives.

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2 years ago
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Differentiate 2sin(5x-3)
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f(x)=2\sin(5x-3)\\
f'(x)=2\cos(5x-3)\cdot5=10\cos(5x-3)
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3 years ago
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1, 6, 11, 16, 21, 26, 31, 36, 41, 46, 51, 56, 61, 66, 71.

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The computer that controls a bank's automatic teller machine crashes a mean of 0.6 times per day. What is the probability that,
professor190 [17]

Answer:

0.2103 = 21.03% probability that, in any seven-day week, the computer will crash less than 3 times.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Mean of 0.6 times a day

7 day week, so \mu = 7*0.6 = 4.2

What is the probability that, in any seven-day week, the computer will crash less than 3 times? Round your answer to four decimal places.

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

In which

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-4.2}*(4.2)^{0}}{(0)!} = 0.0150

P(X = 1) = \frac{e^{-4.2}*(4.2)^{1}}{(1)!} = 0.0630

P(X = 2) = \frac{e^{-4.2}*(4.2)^{2}}{(2)!} = 0.1323

So

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0150 + 0.0630 + 0.1323 = 0.2103

0.2103 = 21.03% probability that, in any seven-day week, the computer will crash less than 3 times.

3 0
2 years ago
A board with a length of 15 feet is leaning against a vertical wall at a point that is 12 feet above the ground. The angle that
Ivan

Answer:

In fact, the AB could be calculated in a quickest way, using Pythagorean theorem. In here, we try to use the property of trigonometry to work out AB.

Before applying trigonometry, in this right triangle we can calculate the remaining angle C:

C = 180 - 90 - A = 180 - 90 - 53.13 = 36.87 deg

We can use cosine formula, but here we use the sine formula for the sake of convenience. We have:

sine(angle measure) = ratio of opposite side over hypotenuse

In detail, sineC = AB/BC

Then, we have: AB = BC x sineC = 15 x sin(36.87 deg) = 9.000002 = ~9 ft

Hope this helps!

:)

8 0
2 years ago
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