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3 years ago

Please answer !!!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

KIM [24]3 years ago

5 0

Answer:

m∠B = 69°

General Formulas and Concepts:

Order of Operations: BPEMDAS

Equality Properties

Complementary Angles add up to 90°

Step-by-step explanation:

Step 1: Define

m∠A = (x + 9)°

m∠B = (7x - 15)°

Step 2: Set up equation

m∠A + m∠B = 90°

(x + 9)° + (7x - 15)° = 90°

Step 3: Solve for x

Combine like terms: 8x - 6 = 90
Add 6 to both sides: 8x = 96
Divide both sides by 8: x = 12

Step 4: Find m∠B

Define: m∠B = (7x - 15)°
Substitute: m∠B = (7(12) - 15)°
Multiply: m∠B = (84 - 15)°
Subtract: m∠B = 69°

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Goshia [24]

Answer:

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In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

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On average sells 8.9 machines per month.

So $\mu = 8.9$

Using the Poisson distribution, what is the probability he will have to shut down after this month

If he sells less than 3 machines.

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

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

$P(X = 0) = \frac{e^{-8.9}*8.9^{0}}{(0)!} = 0.0001$

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$P(X = 2) = \frac{e^{-8.9}*8.9^{2}}{(2)!} = 0.0054$

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2 years ago

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