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iren [92.7K]
3 years ago
14

Erica earn 30,000 bonus points on her computer assignment this is 10 times as many bonus points as she earned last week how many

bonus points did Erica earn last week
Mathematics
1 answer:
yan [13]3 years ago
3 0
She earned 3,000 last week
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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
A population of insects increases according to the law of exponential growth. After 2 days of growth there are 100 insects. Afte
Fantom [35]

Answer:

I think its A so hope this helps

3 0
3 years ago
What would the extrema be for z = f(x,y) = (y^2)-(x^2)?
lubasha [3.4K]

Answer:

sorry I didn't knew it was calculus.

6 0
3 years ago
A swimming pool is a shape of a right rectangular prism if the pool is 12 3/4 yards long 5 2/3 yards wide and 9 yards deep what
Artemon [7]

Answer:

V=650.25\ yards^3

Step-by-step explanation:

Given that,

Length = 12\dfrac{3}{4}\ yards

Width = 5\dfrac{2}{3}\ yards

Depth = 9 yards

We need to find the volume of the swimming pool. The formula for the volume of a cuboid shape is given by :

V=lbh\\\\V=12\dfrac{3}{4}\times 5\dfrac{2}{3}\times 9\\\\=\dfrac{51}{4}\times \dfrac{17}{3}\times 9\\\\V=650.25\ yards^3

So, the volume of the swimming pool is equal to 650.25\ yards^3.

7 0
3 years ago
How many yards are there in 14 1/2 miles?​
denpristay [2]

Answer:

25520 yds

Step-by-step explanation:

6 0
3 years ago
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