All categories

4 years ago

Given: x + 2 <-5.

Mathematics

1 answer:

timurjin [86]4 years ago

4 0

We have

$x+2$ .

We can simplify this expression to

$x$ .

Which can be written as

$x\in(-\infty, -7)$

$x\in\{a\in\mathbb{R}\wedge a$ .

Hope this helps.

You might be interested in

What is the answer to this

zubka84 [21]

Answer: C. 124

Step-by-step explanation:

In parallelograms, any two consecutive interior angles add to 180 degrees. CDA and BCD are consecutive interior angles. Since the measure of angle CDA is 56 and the sum of CDA and BCD equal 180, then to find the value of BCD, evaluate 180-56.

180 - 56 = 124

4 0

3 years ago

Let X have the uniform distribution U(0, 2) and let the conditional distribution of Y , given that X = x, be U(0, x). Find the j

Elina [12.6K]

Answer:

$f(x,y) = \frac{1}{x} \frac{1}{2}= \frac{1}{2x} , 0\leq x \leq 2 , 0\leq y \leq x$

$E(Y|x) = \int_{x=y}^2 y \frac{1}{x} dx= y ln x \Big|_{x=y}^2 =y ln 2 -y ln y = y(1-lny) \$

Step-by-step explanation:

We have two random variables X and Y. $X \sim Unif(0,2)$ and given that X=x, Y has uniform distribution (0,x)

From the definition of the uniform distribution we have the densities for each random variable given by:

$f_X (x) =\frac{1}{2} , 0\leq x\leq 2$

$f_{Y|X} (y|x) = \frac{1}{x}, 0\leq y \leq x$

And on this case we can find the joint density with the following formula:

$f(x,y) = f_{Y|X}(y|x) f_X (x)$

And multiplying the densities we got this:

$f(x,y) = \frac{1}{x} \frac{1}{2}= \frac{1}{2x} , 0\leq x \leq 2 , 0\leq y \leq x$

Now with the joint density we can find the expected value E(Y|x) with the following formula:

$E(Y|x) = \int y f_{Y|X}(y|x)dx$

And replacing we got:

$E(Y|x) = \int_{x=y}^2 y \frac{1}{x} dx= y ln x \Big|_{x=y}^2 =y ln 2 -y ln y = y(1-lny) \$

5 0

4 years ago

PLEASE ANSWER I GIVE POINTS:

Rus_ich [418]

Answer:

8x + 3

Step-by-step explanation:

The cost of 5 t-shirts and 3 skirts

= 5(x - 3) + 3(x + 6)

= 5x - 15 + 3x + 18

= (5x + 3x) + (-15 + 18)

= 8x + 3

5 0

3 years ago

Read 2 more answers

A survey conducted at an ice cream store asked only mothers

Alecsey [184]

Answer:

B. Biased Sample.

Step-by-step explanation:

The population is not only made of mothers, but there are fathers, sons, daughters, brothers and sisters, and a lot of other people. By selecting only mothers, it gears the survey to be biased towards a certain type of thinking.

3 0

3 years ago

Numa pista de treino, três ciclistas

Grace [21]

<span>Três ciclistas ... tomar turnos diferentes e um vai para a esquerda, um vai para a direita, então se vira. Se um ciclista anda 8 milhas e um monta 8 milhas e um que girou ao redor rode por 16 milhas por que o que girou ao redor tem o dobro as milhas?</span>

8 0

3 years ago

Read 2 more answers