All categories

3 years ago

Graph this function using intercepts: 4x - 5y = 40

Mathematics

2 answers:

Ray Of Light [21]3 years ago

6 0

I think this is how you do it

DochEvi [55]3 years ago

4 0

use photomath for that that's way easier

You might be interested in

Let X and Y be independent continuous random variables that are uniformly distributed on (0,1). Let H=(X+2)Y. Find the probabili

belka [17]

Looks like there are two distinct problems here.

"Let X and Y be independent ..."

$P(\ln H\ge z)=P(\ln((X+2)Y)\ge z)=P((X+2)Y\ge e^z)=P\left(Y\ge\dfrac{e^z}{X+2}\right)$

Conditioning on $X$ involves interpreting this probability for all possible fixed values of $X=x$ :

$P\left(Y\ge\dfrac{e^z}{X+2}\right)=\displaystyle\int_xP\left(Y\ge\dfrac{e^z}{X+2}\text{ and }X=x\right)$

$P\left(Y\ge\dfrac{e^z}{X+2}\right)=\displaystyle\int_xP\left(Y\ge\dfrac{e^z}{X+2}\mid X=x\right)P(X=x)$

We have $x\in(0,1)$ , and over this domain $P(X=x)=1$ . Since $X=x$ is fixed, we can omit the conditioning notation to leave us with

$P\left(Y\ge\dfrac{e^z}{X+2}\right)=\displaystyle\int_0^1P\left(Y\ge\dfrac{e^z}{x+2}\right)\,\mathrm dx$

$Y$ has CDF

$P(Y\le y)=F_Y(y)=\begin{cases}0&\text{for }y1\end{cases}$

Then we can write our integral as

$P\left(Y\ge\dfrac{e^z}{X+2}\right)=\displaystyle\int_0^1\left(1-F_Y\left(\frac{e^z}{x+2}\right)\right)\,\mathrm dx$

$P\left(Y\ge\dfrac{e^z}{X+2}\right)=\displaystyle\int_0^1\left(1-\frac{e^z}{x+2}\right)\,\mathrm dx$

$P\left(Y\ge\dfrac{e^z}{X+2}\right)=x-e^z\ln(x+2)\bigg|_{x=0}^{x=1}$

$P\left(Y\ge\dfrac{e^z}{X+2}\right)=\boxed{1-e^z(\ln2-\ln3)}$

"Let X be a standard normal ..."

Using the method of distribution functions, we have

$F_Z(z)=P(Z\le z)=P(F_X(X)\le z)=P(X\le {F_X}^{-1}(z))=F_X({F_X}^{-1}(z))=z$

$\implies\boxed{f_Z(z)=\begin{cases}1&\text{for }z\in(0,1)\\0&\text{otherwise}\end{cases}}$

4 0

3 years ago

When it rains, I get tired.<br> It's raining today.<br> I'm going to take a nap.

ratelena [41]

I like naps
this has to be at least 20 words smh
gimme me five points hehe

8 0

3 years ago

Nick is making bread dough. The recipe requires 3/4 cup of flour and 1 1/8 teaspoon of salt. Nick wants to make the recipe using

madam [21]

Answer:

$1\dfrac{1}{2}$ teaspoon of salt is required

Step-by-step explanation:

The recipe requires 3/4 cup of flour and Nick wants to make the recipe using 1 cup of flour.

The recipe requires 1 1/8 teaspoon of salt and Nick wants to know how much salt he heeds.

Consider short description:

3/4 cup of flour - 1 cup of flour,

1 1/8 teaspoon of salt - x teaspoon of salt.

Mathematically, you can wrte a proportion:

$\dfrac{\frac{3}{4}}{1\frac{1}{8}}=\dfrac{1}{x}.$

Then

$\dfrac{3}{4}\cdot x=1\cdot 1\dfrac{1}{8},\\ \\\dfrac{3x}{4}=\dfrac{9}{8},\\ \\3x\cdot 8=4\cdot 9,\\ \\24x=36,\\ \\x=\dfrac{36}{24}=\dfrac{3}{2}=1\dfrac{1}{2}.$

3 0

3 years ago

The graph shown corresponds to someone who makes

marusya05 [52]

Answer:

Very

Step-by-step explanation:

8 0

3 years ago

Please help with this question thanks

ololo11 [35]

the highest fair would be 240 customers charging 11 dollars with a profit of 2,640 dollars

8 0

3 years ago

Graph this function using intercepts: 4x - 5y = 40 ​

Graph this function using intercepts: 4x - 5y = 40