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3 years ago

7

Question 10

1 answer:

marin [14]3 years ago

8 0

Answer

32 dollars

Explanation

4*8

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Please help I have no idea what the answer is

coldgirl [10]

Answer:

x = 34

Step-by-step explanation:

This is a right angle. This means that the square to the bottom right is 90 degrees. There is also an angle that is 124, but that is a linear pair to the angle on the inside. This means that 124+__=180 degrees

180-124= 56

So now we know 2 angles, which are 90 degrees and 56 degrees. Because we know that the sum of the angles of a triangle equal 180 degrees, we can subtract 90 and 56 from 180 to get our answer, 34.

3 0

3 years ago

The volume for a rectangular prism is given by the formula V = l · w · h, where l is the length of the prism, w is the width of

Charra [1.4K]

Answer:

4

Step-by-step explanation:

devide 144 by 9

get 16

The base squared is 16

find the root of 16

get 4

4 is your awnser

4 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

an Olympic sized pool which holds 660000 gallons of water is only 63% full. how many gallons of water are in the pool

user100 [1]

415800 gallons of water will be in the pool when it is 63% full

5 0

4 years ago

Read 2 more answers

A right pyramid with a square base has a base edge length of 12 meters and slant height of 6 meters. The apothem is meters. The

Kisachek [45]

Answer:

Apothem: 6m

hypotenuse : slant height : 6√2 m

height :6m

volume: 288m2

Step-by-step explanation:

Hi, the correct values are: (image attached down below)

Base length= 12m

Slant height is actually = 6√2

So, to calculate the apothem (AC)we apply the Pythagorean theorem:

AB^2 = AC^2 + BC^2

√AB^2 -BC^2 = AC

AC = √(6√2)^2 - 6^2

AC =6 meters

Hypotenuse of ABC = AB =6√2 meters

Height = AC = 6 meters

Volume:

Volume of a pyramid = 1/3 x base area x height

area of a square = side length ^2 = 12^2

V= 1/3 x 12^2 x 6 =288 m2

7 0

3 years ago