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Fantom [35]
3 years ago
10

PLEASE HELP ASAP!

Mathematics
2 answers:
ExtremeBDS [4]3 years ago
6 0
Ok so I will take this from the top, lets start out  with choice A (-1,-12) we will need to see if the answer is equal to A. so first lets just merge these two problems into eachother to get 4x-8=2x-10 now, after subtracting 2x from each side we get 2x-8=-10. Now, add 8 to both sides which will give us 2x=-2... now it is simple, just divide -2 by 2 to get an answer for x as -1...Answer A is the correct answer
Naddika [18.5K]3 years ago
5 0
\begin{cases}y=2x-10\\y=4x-8\end{cases}\\\\\\
4x-8=2x-10\\\\4x-2x=-10+8\\\\2x=-2\qquad|:2\\\\\boxed{x=-1}\\\\\\y=2x-10\\\\y=2\cdot(-1)-10\\\\y=-2-10\\\\\boxed{y=-12}\\\\\\\begin{cases}x=-1\\y=-12\end{cases}\\\\\\

Answer A)
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Answer and Step-by-step explanation: For an exponential distribution, the probability distribution function is:

f(x) = λ.e^{-\lambda.x}

and the cumulative distribution function, which describes the probability distribution of a random variable X, is:

F(x) = 1 - e^{-\lambda.x}

(a) <u>Probability</u> of distance at most <u>100m</u>, with λ = 0.0143:

F(100) = 1 - e^{-0.0143.100}

F(100) = 0.76

<u>Probability</u> of distance at most <u>200</u>:

F(200) = 1 - e^{-0.0143.200}

F(200) = 0.94

<u>Probability</u> of distance between <u>100 and 200</u>:

F(100≤X≤200) = F(200) - F(100)

F(100≤X≤200) = 0.94 - 0.76

F(100≤X≤200) = 0.18

(b) The mean, E(X), of a probability distribution is calculated by:

E(X) = \frac{1}{\lambda}

E(X) = \frac{1}{0.0143}

E(X) = 69.93

The standard deviation is the square root of variance,V(X), which is calculated by:

σ = \sqrt{\frac{1}{\lambda^{2}} }

σ = \sqrt{\frac{1}{0.0143^{2}} }

σ = 69.93

<u>Distance exceeds the mean distance by more than 2σ</u>:

P(X > 69.93+2.69.93) = P(X > 209.79)

P(X > 209.79) = 1 - P(X≤209.79)

P(X > 209.79) = 1 - F(209.79)

P(X > 209.79) = 1 - (1 - e^{-0.0143*209.79})

P(X > 209.79) = 0.0503

(c) Median is a point that divides the value in half. For a probability distribution:

P(X≤m) = 0.5

\int\limits^m_0 f({x}) \, dx = 0.5

\int\limits^m_0 {\lambda.e^{-\lambda.x}} \, dx = 0.5

\lambda.\frac{e^{-\lambda.x}}{-\lambda} = -e^{-\lambda.x} + e^{0}

1 - e^{-\lambda.m} = 0.5

-e^{-\lambda.m} = - 0.5

ln(e^{-0.0143.m}) = ln(0.5)

-0.0143.m = - 0.0693

m = 48.46

6 0
3 years ago
Find inequality represented by graph please help
kirill115 [55]
U have a dashed line...meaning there is no equal sign in the problem.....it goes thru the origin (0,0)...meaning the y int is 0....u have a slope of 3/4

so ur inequality is : y = 3/4x <==
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