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gogolik [260]
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

inverse​ functions?
Mathematics
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
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