Ask question

Ask question

All categories

3 years ago

7

In the diagram below, point P is circumscribed about quadrilateral ABCD. What is the value of x? (Pls answer I give lot of point

)

1 answer:

Verdich [7]3 years ago

5 0

Answer:

D. 50

Step-by-step explanation:

130+x=180

x=50

You might be interested in

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

1/4 (dot) 3/5 simplifily

stich3 [128]

Answer: 1/20 (fraction) or 0.05 (decimal)

Step-by-step explanation:

first i like to make them a decimal so its easier.

1/4 = 0.25

1/5 = 0.2

multiply 0.25 and 0.2 = 0.05

make 0.05 a fraction

1/20

simplify. (it's already in its simplest form)

the answer is 1/20 as a fraction or 0.05 as a decimal.

(i dont know which one ur teacher wants u to do fraction or decimal?)

3 0

3 years ago

Help me pleaseeee I would be happy

spayn [35]

Answer:

how much you have ( tommy plucked 6 apples from a tree)

have nothing (tommy gave away 6 apples)

have less than 0 ( tommy gave away 6 apples)

6-6=0

Step-by-step explanation:

4 0

3 years ago

Need help will give branliest also how u got answer

erastova [34]

Answer:

x= -3

Step-by-step explanation:

simplify.

1+4=x-8

Move all terms containing x to the left

1+3x=-8

Move all terms NOT containing to the right

3x=-9

Divide each term by 3

x= -3

7 0

3 years ago

Read 2 more answers

Can someone help me with this question please?

myrzilka [38]

Answer:

x=-3

Step-by-step explanation:

8 0

4 years ago