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stealth61 [152]
3 years ago
11

Find the distance between the points (-11, -18) and (17, -18).

Mathematics
1 answer:
Orlov [11]3 years ago
4 0

Answer: 28

Step-by-step explanation:

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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
Please help!!!<br> Square root of -100= + i
kykrilka [37]

Answer:

NaN

Step-by-step explanation:

idk if this helps i just googled it

8 0
3 years ago
Find the surface area of the cone below.
Dovator [93]
The answer is 43. Mistake me if I’m wrong
6 0
3 years ago
Catalina scored a total of 34.9 points in her gymnastics events last week. This week she had 26.1 points with one event remainin
masya89 [10]
Given that last week's points is 34.9 and this week's is 26.1, let p be the number of points she must score in order to have the same score as last week or more, then the inequality will be given by summation of today's points:
p+26.1>34.9


Answer: 
<span>A. p + 26.1 > 34.9</span>
4 0
3 years ago
How do you solve an inequality?
marshall27 [118]

Step-by-step explanation:

To solve an inequality use the following steps: Step 1 Eliminate fractions by multiplying all terms by the least common denominator of all fractions. Step 2 Simplify by combining like terms on each side of the inequality. Step 3 Add or subtract quantities to obtain the unknown on one side and the numbers on the other.

4 0
3 years ago
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