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3 years ago

Helppp plzzz fasttt !!!!

Mathematics

2 answers:

azamat3 years ago

8 0

Answer:

c = 25

Step-by-step explanation:

A (-6, 5), B (-2, 4), C (-2, 5)

Form a triangle by adding a new point to the graph.

*in this case it is coordinate C

First step: Find the distance between points A and C

From A to C there are 4 units.

Second step: Find the distance between points B and C

From B to C there are 9 units

Next you need to use the pythagorean theorem to find the length of A to B

$\sqrt{a} +\sqrt{b} =\sqrt{c}$

Now use the lengths you have to find the missing length.

$\sqrt{4} +\sqrt{9} =\sqrt{c}$

$2 + 3 = \sqrt{c} \\\\5 = \sqrt{c} \\\\(5)^{2} = (\sqrt{c} )^{2} \\\\25 = c$

defon3 years ago

3 0

C = 25 you are welcome

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4 years ago

The amount of time (in minutes) that a commuter train is late is a continuous random variable with the probability density funct

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Answer:

Mean waiting time = E(X) = 0 minute

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Step-by-step explanation:

f(x) = –3(25 – x²)/500 for –10 < x < +10

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f(x) = (0.006x² - 0.15) for -10 < x < 10

a) The mean of a Probability distribution is given by its expected value

Mean = E(X) = Σ xᵢpᵢ

xᵢ = each variable In the sample space

pᵢ = probability of each variable In the sample space.

In integral terms,

E(X) = ∫ xf(x) dx (evaluating the integral all over the sample space; that is, for - 10 to 10)

E(X) = ∫¹⁰₋₁₀ xf(x) dx

E(X) = ∫¹⁰₋₁₀ x[0.006x² - 0.15] dx

E(X) = ∫¹⁰₋₁₀ [0.006x³ - 0.15x] dx

E(X) = [0.0015x⁴ - 0.075x²]¹⁰₋₁₀

E(X) = [0.0015(10⁴) - 0.075(10²)] - [0.0015(-10⁴) - 0.075(-10²)]

E(X) = [15 - 7.5] - [15 - 7.5] = 0 minutes

b) Variance is given as

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where μ = mean = E(X)

In integral terms,

Var(X) = [∫¹⁰₋₁₀ x²f(x) dx] - μ²

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= ∫¹⁰₋₁₀ (0.006x⁴ - 0.15x²) dx

= [0.0012x⁵ - 0.05x³]¹⁰₋₁₀

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= [120 - 50] - [-120 + 50]

= 70 + 70 = 140

Var(X) = [∫¹⁰₋₁₀ x²f(x) dx] - μ²

Var(X) = 140 - 0² = 140.

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3 years ago

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Answer:

Hello your question is incomplete attached below is the complete question

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