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zlopas [31]
3 years ago
13

A, B & C form a triangle where

Mathematics
1 answer:
rjkz [21]3 years ago
3 0

Answer:

13.9mm

Step-by-step explanation:

short story, pythagorean theorem a²+b²=c²

a=13.5

b=3.2

c=?

13.5² = 182.25

3.2² = 10.24

c² = 192.49

c = 13.8740765458

round to 1 decimal place c = 13.9

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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
Help please it’s for home work
Dmitry [639]
Slope would be 2
Y intercept would be 2
y = 2x + 2
6 0
3 years ago
Which table shows a proportional relationship between X and Y?
tatuchka [14]

Your answer would be the bottom right image. In the bottom right image, x is divided by 5 consistently. No function can be determined in the other tables.

8 0
2 years ago
What is 1 sixth of a hexagon
Nuetrik [128]
I'm guessing you're asking what shape do you get if you cut a hexagon is cut into sixths.
If this hexagon is a regular hexagon, then the shapes would be equilateral triangles.
6 0
3 years ago
Read 2 more answers
Jalen inherited a collection of vintage comic books. An appraiser separated the comic
sladkih [1.3K]

Jalen has total 63 comic books.

Step-by-step explanation:

Given,

Total value of comic books = $3135

Let,

Number of $45 comic books = x

Number of $65 comic books = y

According to given statement;

45x+65y=3135     Eqn 1

x=y+33                  Eqn 2

Putting value of x from Eqn 2 in Eqn 1

45(y+33)+65y=3135\\45y+1485+65y=3135\\110y=3135-1485\\110y=1650\\

Dividing both sides by 110

\frac{110y}{110}=\frac{1650}{110}\\y=15

Putting y=15 in Eqn 2

x=15+33\\x=48

Total comic books = x+y

Total comic books = 48+15 = 63

Jalen has total 63 comic books.

Keywords: addition, elimination method

Learn more about elimination method at:

  • brainly.com/question/10879401
  • brainly.com/question/10940255

#LearnwithBrainly

7 0
3 years ago
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