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katen-ka-za [31]
3 years ago
10

Discounts: there are 125,000 American soldiers in Iraq . 25% are infantry. From the rest 40% are reservist. How many reservist a

re in Iraq today ?
Mathematics
1 answer:
Bond [772]3 years ago
7 0
 there are 87350 reservist

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OLga [1]

Answer: 95  minutes

Step-by-step explanation: 205-110=95

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The number of knots in a particular type of wood has a Poisson distribution with an average of 1.6 knots in 10 cubic feet of the
HACTEHA [7]

Answer:

0.994 = 99.4% probability that a 10-cubic-foot block of the wood has at most 5 knots.

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.

1.6 knots in 10 cubic feet of the wood.

This means that \mu = 1.6

Find the probability that a 10-cubic-foot block of the wood has at most 5 knots.

P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

In which

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

P(X = 0) = \frac{e^{-1.6}*(1.6)^{0}}{(0)!} = 0.202

P(X = 1) = \frac{e^{-1.6}*(1.6)^{1}}{(1)!} = 0.323

P(X = 2) = \frac{e^{-1.6}*(1.6)^{2}}{(2)!} = 0.258

P(X = 3) = \frac{e^{-1.6}*(1.6)^{3}}{(3)!} = 0.138

P(X = 4) = \frac{e^{-1.6}*(1.6)^{4}}{(4)!} = 0.055

P(X = 5) = \frac{e^{-1.6}*(1.6)^{5}}{(5)!} = 0.018

P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.202 + 0.323 + 0.258 + 0.138 + 0.055 + 0.018 = 0.994

0.994 = 99.4% probability that a 10-cubic-foot block of the wood has at most 5 knots.

5 0
3 years ago
The perimeter formula for a rectangle is 2l + 2w, where l is the length and w is the width.
erastovalidia [21]

Answer:

Correct.

Step-by-step explanation:

This is the perimeter formula for a rectangle.

Perimeter is l + l + w + 2

p = 2l + 2w

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3 years ago
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vodomira [7]
Can u be more precise with the question???
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Find the volume of a pyramid with a square base, where the side length of the base is
valina [46]

Answer:

Volume = 1114.1 in^3

Step-by-step explanation:

Recall that the formula for the volume of a pyramid is given by:

Volume=\frac{1}{3} \,B\,*\,H

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Volume=\frac{1}{3} \,B\,*\,H\\Volume=\frac{1}{3} \,(163.84)\,*\,20.4\,\,in^3\\Volume=1114.112\,\,in^3

Rounding the answer to a tenth of a cubic inch, we get:

Volume = 1114.1 in^3

7 0
3 years ago
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