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mixas84 [53]
3 years ago
8

You are making costumes for the school play. Each costume needs a piece of ribbon that is 5 8 58 yard long. How many yards of ri

bbon are needed for the 24 24 costumes
Mathematics
1 answer:
zhuklara [117]3 years ago
5 0
You need 1,392 yds of ribbon
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Answer:

So since the 2 angles are congruent they will be the same.

Step-by-step explanation:

So since the 2 angles are congruent they will be the same. So for example, if I have a triangle and angle 60 and two congruent angles it will be 60 + 2x =180. I congruent angle will be x then 2 of that is 2x. Angles in a triangle always sum up to 180.

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

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\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)
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=\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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