Ask question

Ask question

All categories

3 years ago

12

Draw a diagram. Write the Segment Addition Postulate for the points described. Then solve for missing length.

1 answer:

77julia77 [94]3 years ago

7 0

Answer:

3

Step-by-step explanation:

QC=2x

RC=3x

QR=15

THEREFORE,

QC+RC=QR

=>2x+3x=15

=>5x=15

=>x=15/5

=>x=3

You might be interested in

In order to accumulate enough money for a down payment on a house, a couple deposits $608 per month into an account paying 6% c

____ [38]

Hi there
The formula of the future value of annuity ordinary is
Fv=pmt [(1+r/k)^(kn)-1)÷(r/k)]
Fv future value?
PMT monthly payment 608
R interest rate 0.06
K compounded monthly 12
N time 6years
So
Fv=608×(((1+0.06÷12)^(12×6)
−1)÷(0.06÷12))
=52,536.58...answer

Good luck!

8 0

3 years ago

Suppose X, Y, and Z are random variables with the joint density function f(x, y, z) = Ce−(0.5x + 0.2y + 0.1z) if x ≥ 0, y ≥ 0, z

kompoz [17]

a.

$f_{X,Y,Z}(x,y,z)=\begin{cases}Ce^{-(0.5x+0.2y+0.1z)}&\text{for }x\ge0,y\ge0,z\ge0\\0&\text{otherwise}\end{cases}$

is a proper joint density function if, over its support, $f$ is non-negative and the integral of $f$ is 1. The first condition is easily met as long as $C\ge0$ . To meet the second condition, we require

$\displaystyle\int_0^\infty\int_0^\infty\int_0^\infty f_{X,Y,Z}(x,y,z)\,\mathrm dx\,\mathrm dy\,\mathrm dz=100C=1\implies \boxed{C=0.01}$

b. Find the marginal joint density of $X$ and $Y$ by integrating the joint density with respect to $z$ :

$f_{X,Y}(x,y)=\displaystyle\int_0^\infty f_{X,Y,Z}(x,y,z)\,\mathrm dz=0.01e^{-(0.5x+0.2y)}\int_0^\infty e^{-0.1z}\,\mathrm dz$

$\implies f_{X,Y}(x,y)=\begin{cases}0.1e^{-(0.5x+0.2y)}&\text{for }x\ge0,y\ge0\\0&\text{otherwise}\end{cases}$

Then

$\displaystyle P(X\le1.375,Y\le1.5)=\int_0^{1.5}\int_0^{1.375}f_{X,Y}(x,y)\,\mathrm dx\,\mathrm dy$

$\approx\boxed{0.12886}$

c. This probability can be found by simply integrating the joint density:

$\displaystyle P(X\le1.375,Y\le1.5,Z\le1)=\int_0^1\int_0^{1.5}\int_0^{1.375}f_{X,Y,Z}(x,y,z)\,\mathrm dx\,\mathrm dy\,\mathrm dz$

$\approx\boxed{0.012262}$

7 0

3 years ago

The length of a rectangle is 2 units more than the width. The area of the rectangle is 35 units. What is the width, in units, of

Katena32 [7]

7 units hahahahaha hahahahha hahahahaha

6 0

3 years ago

Read 2 more answers

Solve –2k + 12 < 30 for k.

PIT_PIT [208]

Answer:

k > -9

Step-by-step explanation:

Subtract 12 from both sides as we want to isolate k-

30 - 12 = 18

-2k < 18

Divide both sides by -2

18/-2 = -9

k > -9

5 0

4 years ago

Read 2 more answers

Two equations are given below:

34kurt

(-5,-3) since plug in a=b-2 into the first equation and then solver for b. You get -3.-3-2=-5 which is a

6 0

3 years ago