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Oksanka [162]
3 years ago
15

Solve by elimination 5x-15y=10 3x-5y=-6

Mathematics
1 answer:
Dovator [93]3 years ago
6 0
Multiply bottom equation by -3 to add and eliminate y’s.

So...

5x-15y=10
+-9x+15y=18

You get -4x=28 so x=-7

Plug in to get y
5(-7)-15y=10
-35-15y=10
-15y=45
So y=-3

Check in other equation
3(-7)-5(-3)=
-21+15=-6

So x= -7 and y= -3
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For X a binomial random variable with n=5 and p=1/4, answer the following
mash [69]
Recall that for X\sim\mathrm{Bin}(n,p), i.e. a random variable X following a binomial distribution over n trials and with probability parameter p,

\mathbb P(X=x)=f_X(x)=\begin{cases}\dbinom nx p^x(1-p)^{n-x}&\text{for }x\in\{0,1,\ldots,n\}\\\\0&\text{otherwise}\end{cases}

So you have

\mathbb P(X=2)=\dbinom52\left(\dfrac14\right)^2\left(1-\dfrac34\right)^{5-2}=\dfrac{135}{512}\approx0.26

\mathbb P(2\le X\le4)=\displaystyle\sum_{x=2}^4\mathbb P(X=x)
=\dbinom52\left(\dfrac14\right)^2\left(1-\dfrac14\right)^{5-2}+\dbinom52\left(\dfrac14\right)^3\left(1-\dfrac14\right)^{5-3}+\dbinom52\left(\dfrac14\right)^4\left(1-\dfrac14\right)^{5-4}
=\dfrac{375}{1024}\approx0.37

The expected value of X\sim\mathrm{Bin}(n,p) is simply np, while the standard deviation is \sqrt{np(1-p)}. In this case, they are \dfrac54=1.25 and \sqrt{\dfrac{15}{16}}\approx0.97, respectively.
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3 years ago
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:  2m+6

im sure its right :)

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