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2 years ago

10

Why are different intervals used when restricting the domains of the sine and cosine functions in the process of defining their

inverseâ€‹ functions?

1 answer:

umka21 [38]2 years ago

3 0

Answer:

See below

Step-by-step explanation:

The interval must be chosen so that the function is one-to-one, and the sine and cosine functions are not one-to-one on the same intervals.

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The number of typing errors made by a typist has a Poisson distribution with an average of three errors per page. If more than t

damaskus [11]

Answer:

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

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.

Poisson distribution with an average of three errors per page

This means that $\mu = 3$

What is the probability that a randomly selected page does not need to be retyped?

Probability of at most 3 errors, so:

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

In which

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

$P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498$

$P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494$

$P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.2240$

$P(X = 3) = \frac{e^{-3}*3^{3}}{(3)!} = 0.2240$

Then

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0498 + 0.1494 + 0.2240 + 0.2240 = 0.6472$

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

3 0

2 years ago

The prime factorization of 56

Liono4ka [1.6K]

The prime factores are 7,2,2,2

6 0

2 years ago

Use the Order of Operations to evaluate this expression

Doss [256]

Unfortunately, I don’t knooow :(

5 0

3 years ago

I need help solving this question.<br><img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7Dx%20%20%3D%20%20%5Cfrac%7B1%7D%7B4%

Lynna [10]

Answer:

x=5/12

Step-by-step explanation:

$\frac{1}{4} /\frac{3}{5}=\frac{5}{12}$

x=5/12

8 0

3 years ago

An isosceles trapezoid has base angles 45 and bases of lengths 9 and 15 the area pf the trapezoid is

Nadusha1986 [10]

Tangent 45 = height / 3
height = 3 * tan (45)
height = 3 * 1
height = 3

<span>Trapezoid area = ((sum of the bases) ÷ 2) • height
</span>
<span>Trapezoid area = (9 + 15) /2 * height

</span><span>Trapezoid area = 12 * 3

</span><span>Trapezoid area = 36

</span>

7 0

3 years ago