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3 years ago

Which is an undefined term that is useful for defining a circle?

Mathematics

1 answer:

lana66690 [7]3 years ago

4 0

The answer is a point

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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

Combine the like terms<br> 2g + 15 + 3g + g + g- 18

ZanzabumX [31]

Answer:

7g - 3

Step-by-step explanation:

2g + 15 + 3g + g + g - 18

2g + 3g + g + g + 15 - 18

7g - 3

6 0

3 years ago

Suppose tanesha and Marc both drive the same car and have the same deductible for car insurance. If both are the same age who is

bezimeni [28]

A.Neither they pay the same .

4 0

3 years ago

One increased by 7 times a number is the same as 5 times the number plus 25

sammy [17]

Answer:

Step-by-step explanation:

Let the number = x

7x + 1 = 5x + 25 Subtract 5x from both sides.

7x - 5x + 1 = 5x - 5x + 25 Combine

2x + 1 = 25 Subtract 1 from both sides.

2x + 1 - 1 = 25-1 Combine

2x = 24 Divide by 2

2x/2 = 24/2

x = 12

4 0

3 years ago

There are 28 students in a class. 13 of the students are boys. Two students from the class are chosen at random. a) If the first

Luba_88 [7]

Answer:

Step-by-step explanation:

3 0

2 years ago