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Leviafan [203]
3 years ago
8

A manufacturing company with 450 employees begins a new product line and must increase their number of employees by 18% how many

total employees does the company now have
Mathematics
1 answer:
Artemon [7]3 years ago
5 0
The company will have a total number of 531 employees
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Find the sum of the first 5 terms of the infinite series: 8 + 18 + 28 +
Anna007 [38]

Answer:

8 + 18+ 28+ 38+ 48= 140

Step-by-step explanation:

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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
3 years ago
MIRCrence.
lianna [129]
Ok so maybe add or subtract the numbers and see what u get :) I calculated it
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3 years ago
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In ΔXYZ, the measure of ∠Z=90°, the measure of ∠X=57°, and XY = 8 feet. Find the length of YZ to the nearest tenth of a foot.
Zolol [24]

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21

Step-by-step explanation:

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Arrange these numbers in increasing order: 216,000,000, 2.2 × 10 to the 3rd power, 3.1 × 10 to the 7th power, 310,000
ziro4ka [17]
<span>216,000,000
</span><span>2.2 × 10 to the 3rd power = 2.2 * 10^3 = 2,200
</span>3.1 × 10 to the 7th power = 3.1 * 10^7 = 31,000,000
<span>310,000

Increasing order:
</span>2,200 , 310,000 , 216,000,000 , 31,000,000

So increasing order with original numbers:
2.2 × 10 to the 3rd power, 310,000, <span>216,000,000,  3.1 × 10 to the 7th power</span>
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