Ask question

Ask question

All categories

3 years ago

9

Chloe wants to give her apartment a more elegant look, so she decides to make drapes for her 6 windows. She plans to make 2 drap

es for each window. Each drape will be 84 inches long. How many yards of fabric should she buy for her new drapes?

1 answer:

dexar [7]3 years ago

4 0

Answer:

84 yards

Step-by-step explanation:

1008 inches converts to 84 yards

You might be interested in

Can someone help? What’s the answer.

lana [24]

Answer:

The surface area of the red square is 180, and the surface area of the blue square is 328. So the full answer is 508.

Step-by-step explanation:

A = 2( width times length +height times length +height times width ) = 2(6 times 3 + 8 times 3 + 8 times 6)=180

A = 2(width times length + height times length + height times width) = 2(2 times 12 + 10 times 12 + 10 times 2) = 328

And 328 + 180 = 508.

8 0

3 years ago

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

A square piece of confetti has an area of 25 square millimeters. How long is each side?

Vlad [161]

The formula for the area of a rhombus is s^2=A. Plug in and solve:

s^2=25

<em>*Take the square root of both sides*</em>

s=5

Hope this helps!!

7 0

3 years ago

Read 2 more answers

What is the median?

expeople1 [14]

75, 76, 80, 83, 84, 85, 89, 91, 94, 94

The median is 84.5
You add the two middle numbers (84, 85) and divide by 2.

4 0

4 years ago

Read 2 more answers

There are 5people trying for 3openings how many possible outcomes are there

Zigmanuir [339]

Answer:

60

Step-by-step explanation:

5×4×3 = 60

Alternately,

5C3 × 3! = 60

8 0

3 years ago