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4 years ago

-2/3y-3/4=5 What is the answer i need to show my work please

Mathematics

1 answer:

vodka [1.7K]4 years ago

7 0

Answer:

y= -69/8 (negative 69 over 8)

Step-by-step explanation:

First, you have to simplify both sides of the equation:

$-2/3y+ -3/4 =5$

Second, add 3/4 to both sides:

-2/3y +-3/4 + 3/4=5 +3/4

-2/3y= 23/4

Next, multiply both sides by 3/(-2) (3 over -2)

(3/-2)*(-2/3y)= (3/-2) * (23/4)

y= -69/8

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Step-by-step explanation:

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3 years ago

Find the mean, variance &a standard deviation of the binomial distribution with the given values of n and p.

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Because it's a proper probability distribution, you know that the sum of all the probabilities over the distribution's support must be 1, i.e.

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$\mathbb E(X)=\displaystyle\sum_{x=1}^nx\frac{n!}{x!(n-x)!}p^x(1-p)^{n-x}$
$\mathbb E(X)=\displaystyle\sum_{x=1}^n\frac{n!}{(x-1)!(n-x)!}p^x(1-p)^{n-x}$
$\mathbb E(X)=\displaystyle np\sum_{x=1}^n\frac{(n-1)!}{(x-1)!((n-1)-(x-1))!}p^{x-1}(1-p)^{(n-1)-(x-1)}$
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The remaining sum has a summand which is the PMF of yet another binomial distribution with $n-1$ trials and the same success probability, so the sum is 1 and you're left with

$\mathbb E(x)=np=126\times0.27=34.02$

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4 years ago

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