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4 years ago

I need help on this one too please and thank you

Mathematics

1 answer:

Cloud [144]4 years ago

7 0

Completar y angles= add up to 90 degrees
so it’s C because it needs to equal 90

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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

Growing up, I never got enough of my favorite side dishes. I even conducted a - survey to prove to my family that they should ma

Minchanka [31]

Answer:

63 people prefer mashed potatos

Step-by-step explanation:

18 divided by 2 is 9

7 multiplied by 9 is 63

5 0

3 years ago

a Maps key shows that every of 5 inches on the map represents 200 miles of actual disc suppose the distance between the between

Colt1911 [192]

5 inches = 200 miles
7inches=x-miles
5/20=7/×
5x=200 (7)
5x=1400
1400÷5=280
x=280
280-200=80
80=the distance between the two cities

7 0

3 years ago

Answer this question please branliest going :) thanks

White raven [17]

Answer:

11/1 or 11

Step-by-step explanation:

hope this helps

3 0

3 years ago

Find the midpoint between... 0 and 88

motikmotik

Answer:

i believe that the mid point is 44

8 0

3 years ago