All categories

3 years ago

I’ll give brainliest

Mathematics

1 answer:

Nimfa-mama [501]3 years ago

4 0

Answer:

Step-by-step explanation:

You might be interested in

Please do thank you so much, brainliest, and thanks and points

erik [133]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Write each equation in slope-intercept form of the equation of a line.

Fynjy0 [20]

The x-intercept is 4

The y-intercept is 3

The slope is -3/4

8 0

3 years ago

Find the volume of the cone shown below

Vadim26 [7]

Answer:

3.14*9^2*12/3=

Step-by-step explanation:

V=π*r^2*h/3

4 0

3 years ago

Read 2 more answers

Suppose X and Y are random variables with joint density function. f(x, y) = 0.1e−(0.5x + 0.2y) if x ≥ 0, y ≥ 0 0 otherwise (a) I

Hatshy [7]

a. $f_{X,Y}$ is a joint density function if its integral over the given support is 1:

$\displaystyle\int_{-\infty}^\infty\int_{-\infty}^\infty f_{X,Y}(x,y)\,\mathrm dx\,\mathrm dy=\frac1{10}\int_0^\infty\int_0^\infty e^{-x/2-y/5}\,\mathrm dx\,\mathrm dy$

$=\displaystyle\frac1{10}\left(\int_0^\infty e^{-x/2}\,\mathrm dx\right)\left(\int_0^\infty e^{-y/5}\,\mathrm dy\right)=\frac1{10}\cdot2\cdot5=1$

so the answer is yes.

b. We should first find the density of the marginal distribution, $f_Y(y)$ :

$f_Y(y)=\displaystyle\int_{-\infty}^\infty f_{X,Y}(x,y)\,\mathrm dx=\frac1{10}\int_0^\infty e^{-x/2-y/5}\,\mathrm dy$

$f_Y(y)=\begin{cases}\dfrac15e^{-y/5}&\text{for }y\ge0\\\\0&\text{otherwise}\end{cases}$

Then

$P(Y\ge8)=\displaystyle\int_8^\infty f_Y(y)\,\mathrm dy=e^{-8/5}$

or about 0.2019.

For the other probability, we can use the joint PDF directly:

$P(X\le5,Y\le8)=\displaystyle\int_0^5\int_0^8f_{X,Y}(x,y)\,\mathrm dx\,\mathrm dy=1+e^{-41/10}-e^{-5/2}-e^{-8/5}$

which is about 0.7326.

c. We already know the PDF for $Y$ , so we just integrate:

$E[Y]=\displaystyle\int_{-\infty}^\infty y\,f_Y(y)\,\mathrm dy=\frac15\int_0^\infty ye^{-y/5}\,\mathrm dy=\boxed5$

5 0

3 years ago

What is 12 times twelve minus one + 1

notsponge [240]

Answer:

144

Step-by-step explanation:

12x12=144-1=143+1=144

Hope this helps!

8 0

3 years ago