What is the slope of this equation y+3=2(x-1)

Mathematics

2 answers:

marta [7]3 years ago

8 0

The slope for y+3=2(x-1) is y=2x-5

Semmy [17]3 years ago

4 0

Answer && Step-by-step explanation:

Simply begin to solve for y:

=> y=2(x-1)-3

dist. 2

=>y=2x-2-3

simplify constants

==y=2x-5

slope equation y=mx+b

m=slope

b=y intercept

slope == 2

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For X a binomial random variable with n=5 and p=1/4, answer the following

mash [69]

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

So you have

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

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$=\dbinom52\left(\dfrac14\right)^2\left(1-\dfrac14\right)^{5-2}+\dbinom52\left(\dfrac14\right)^3\left(1-\dfrac14\right)^{5-3}+\dbinom52\left(\dfrac14\right)^4\left(1-\dfrac14\right)^{5-4}$
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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.