3 years ago

Y = x2 - 6x - 8

Mathematics

1 answer:

Usimov [2.4K]3 years ago

3 0

Answer:

I think type answer is A

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A carpenter designs a tabletop in the shape of an ellipse 7 feet long and 4 feet wide. The carpenter sketches a drawing of the t

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x^2/12.25 + y^2/4 = 1

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Jim has grades of 84, 65, and 76 on three math tests. What grade must he obtain on the next test to have an average of exactly 8

Fynjy0 [20]

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Which statement is true about the values of x=-2 and y=-0.5

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Your correct answer would be: B=-2x-8y=8

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4 years ago

Evaluate the expression -(5/7)^0

NeX [460]

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3 years ago

Let X and Y be two independent random variables following beta distributions Beta(120, 2020).

Alla [95]

With $X,Y\sim\mathrm{Beta}(120,2020)$ , we have identical PDFs

$P(X=x)=\dfrac{x^{119}(1-x)^{2019}}{B(120,2020)}$

for $0$ , and 0 otherwise, where

$B(a,b)=\dfrac{\Gamma(a)\Gamma(b)}{\Gamma(a+b)}$

Since $X,Y$ are independent, the joint PDF is

$P(X=x,Y=y)=P(X=x)P(Y=y)=\dfrac{(xy)^{119}((1-x)(1-y))^{2019}}{B(120,2020)^2}$

for points $(x,y)$ in the unit square, and 0 otherwise.

1. The distribution is continuous, so $P(X=0.5)=\boxed0$ .

2. $X+3$ is the region in the $x,y$ plane contained within the unit square and above the line $y=\frac{x+3}2$ . This region is empty, because this line lies above the square altogether, so $P(X+3$ .

3. $X>Y$ is the region in the same square below the line $y=x$ . So we have

$P(X>Y)=\displaystyle\int_0^1\int_0^xP(X=x,Y=y)\,\mathrm dy\,\mathrm dx=\boxed{\frac12}$

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3 years ago