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igor_vitrenko [27]
3 years ago
6

Simplify (23)^–2 genuinely confused

Mathematics
1 answer:
statuscvo [17]3 years ago
7 0

Answer:

1/529

Step-by-step explanation:

23^{-2}\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}\\23^{-2}=\frac{1}{23^2}\\\\23^2=529\\\\=\frac{1}{529}

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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 following graph represents the cost and revenue functions for custom made computers. How many computers have been sold at th
svetlana [45]
The answer is A) 12
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5 0
3 years ago
Read 2 more answers
Please help thank youuuuu
pentagon [3]

Answer:

Y=3x-1

Step-by-step explanation:

Let x =1 then ,Y=(3×1)-1=2

Let x=2 then, Y=(3×2)-1=5

Let x=3 then Y=(3×3)-1=8

Let x=0 then Y=(3×0)-1=-1

5 0
3 years ago
Find the sum of the infinite series, if it exists. 100+20+4+… And please show work
Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

r=20/100=0.2<|1|

S_{\infty} =\frac{a_{1}}{1-r} \\=\frac{100}{1-0.2} =\frac{100}{0.8} =125

4 0
3 years ago
A rectangular room has an area of 100 square feet and a length of 10 feet.what is the perimeter of the floor?
jekas [21]

area= l*w

100=10*w

10= w

parameter= sum of all sides= 40

8 0
3 years ago
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