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Otrada [13]
3 years ago
15

Prove that sin^3x+sincos^2x=sinx

Mathematics
1 answer:
almond37 [142]3 years ago
6 0

Step-by-step explanation:

factor sin(x) out of the equation

sin(x) * (sin^{2} (x) + cos^{2} (x)) = sin(x)

Use the trigonometric identity sin^{2} (x) + cos^{2}(x) = 1

sin(x) * 1 = sin(x)

sin(x) = sin(x)

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Answer:

B) 0.894

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.

A local animal rescue organization receives an average of 0.55 rescue calls per hour.

This means that \mu = 0.55

Probability that during a randomly selected hour, the organization will receive fewer than two calls.

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

In which

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

P(X = 0) = \frac{e^{-0.55}*(0.55)^{0}}{(0)!} = 0.577

P(X = 1) = \frac{e^{-0.55}*(0.55)^{1}}{(1)!} = 0.317

P(X < 2) = P(X = 0) + P(X = 1) = 0.577 + 0.317 = 0.894

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4 years ago
The height of a cylinder is 8 centimeters. The circumference of the base of the cylinder is 14 pi. What is the measurement of th
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Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Some examples of opposite numbers are 1 and -1, 6 and -6, and 10 and -10.

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