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anyanavicka [17]
3 years ago
7

The number of knots in a particular type of wood can be modeled by a Poisson distribution with an average of 1.4 knots in 10 cub

ic feet of the wood. Find the probability that a 20-cubic-foot block of the wood has at most 1 knot.
Mathematics
1 answer:
Kamila [148]3 years ago
6 0

Answer:

Probability that a 20- cubic foot block of wood has at most 1 knot P (X<=1) = 0.5918

Step-by-step explanation:

Average rate of knot= 1.4

Wavelength = 1.4

Geometric probability is given by:

P(X= K) = wavelength ^k × e^-wavelegth

P(X=0) = (1.4^0 × e^-1.4)/0!

P(X=0) = 1 × 0.2466 = 0.2466

P(X=1) = 1.4^1 × e^-1.4

P(X=1)= 1.4×0.2466= 0.3452

P(X<=1)= P(X=0) + P(X=1)

P(X<=1) = 0.2466 + 0.3452 = 0.5918

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Answer : \frac{49}{4}

Given expression is x^2 - 7x + c

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In completing the square method we add and subtract the half of square of coefficient of middle term

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Half of -7 is \frac{-7}{2}

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So the expression becomes x^2 - 7x +  [tex] \frac{49}{4} that gives perfect square trinomial

Hence , the value of 'c' is \frac{49}{4}


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3 years ago
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For this case we have the following expressions:

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In the adjoining figure, the parallel lines are marked by arrow lines. The value of angle 1 is:
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Alternate method:

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2 years ago
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