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4 years ago

Construct a line that is perpedicular to line m and that passes through point P.

Mathematics

1 answer:

BlackZzzverrR [31]4 years ago

5 0

Take the compass, and place the pointy end on the point m.. Then adjust the size until the pencil point of the compass is on point p, and make a circle.
Then, keep the compass on the same setting and put the pointy end on the other end of the line, and adjust it until the pencil tip is on point p again. Then draw another circle.
Now, connect the two places that the circles intersect in, using a ruler.

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Let Y be a random variable with a density function given by

Neporo4naja [7]

From the given density function we find the distribution function,

$F_Y(y)=P(Y\le y)=\displaystyle\int_{-\infty}^y f_Y(t)\,\mathrm dt=\begin{cases}0&\text{for }y$

(a)

$F_{U_1}(u_1)=P(U_1\le u_1)=P(3Y\le u_1)=P\left(Y\le\dfrac{u_1}3\right)=F_Y\left(\dfrac{u_1}3\right)$

$\implies F_{U_1}(u_1)=\begin{cases}0&\text{for }u_1$

$\implies f_{U_1}(u_1)=\begin{cases}\frac{{u_1}^2}{18}&\text{for }-3\le u_1\le3\\0&\text{otherwise}\end{cases}$

(b)

$F_{U_2}(u_2)=P(3-Y\le u_2)=P(Y\ge3-u_2)=1-P(Y$

$\implies F_{U_2}(u_2)=\begin{cases}0&\text{for }u_2$

$\implies f_{U_2}(u_2)=\begin{cases}\frac32(u_2-3)^2&\text{for }2\le u_2\le4\\0&\text{otherwise}\end{cases}$

(c)

$F_{U_3}(u_3)=P(Y^2\le u_3)=P(-\sqrt{u_3}\le Y\le\sqrt{u_3})=F_Y(\sqrt{u_3})-F_y(\sqrt{u_3})$

$\implies F_{U_3}(u_3)=\begin{cases}0&\text{for }u_3$

$\implies f_{U_3}(u_3}=\begin{cases}\frac32\sqrt u&\text{for }0\le u\le1\\0&\text{otherwise}\end{cases}$

5 0

3 years ago

Nalani says the expression 2+5x cannot be factored using the GCF. Is she correct? Explain why or why not

serious [3.7K]

The correct answer would be D, because there’s no other leading common factors between the two besides one.

5 0

3 years ago

Read 2 more answers

Jorge finds 56% of his 75 classmates likes salsa music and 80% of his 60 relatives like salsa music.How many more of Jorge’s rel

erica [24]

56% of 75 = 42
80% of 60 = 48

The question asks for the difference, so there are 6 additional people who like salsa music

5 0

3 years ago

Multiply and divide. product or quotient

Mandarinka [93]

Multiply is product. Divide is quotient

7 0

3 years ago

Read 2 more answers

Determine the standard form of the equation for the circle with center (h,k) = (-5 ½) and radius r =1

wariber [46]

Asuuing yo meant (h,k)=(-5,1/2)

equation is $(x-h)^2+(y-k)^2=r^2$
(h,k) is center and r=radious
given that (h,k)=(-5,1/2) and r=1
h=-5
k=1/2

$(x-(-5))^2+(y- \frac{1}{2} )^2=1^2$
$(x+5)^2+(y- \frac{1}{2} )^2=1$
if you wanted us to expand
x²+y^2+10x-y+25.25=1

8 0

3 years ago