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valentina_108 [34]
3 years ago
15

A _____ is a flat surface that has no thickness.

Mathematics
1 answer:
Nookie1986 [14]3 years ago
8 0

Answer:

plane is correct answer

eg:

a sheet of paper

it has no thickness but have surface area

hope it helped you:)

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A square piece of cheese covers 10 square inches of a plate. What is the approximate length of one side of the piece of cheese?
Lelu [443]

Answer:

Step-by-step explanation:

If its a square all the sides are equal so therefor if it took up ten inches of the plate the length is <u>10 by 10 so 100</u> because <u>the equation for length is base times height.</u>

8 0
3 years ago
If you needed only 1 c of milk, what is your best choice at the grocery store? a quart container, a pint container, or a 1/2 gal
Lena [83]
What would be best to buy is the quart container
8 0
4 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
A store is having a sale where everything is discounted 30% find the discount and sales price if a customer buys an item that no
frez [133]

Answer:

£465.50

Step-by-step explanation:

\frac{30}{100} of 665\\

Divide the bottom: 665 / 100 = 66.5

66.5 x 30 = 1995

Divide by a hundred

199.5

665 - 199.5 = £465.50

7 0
3 years ago
X=3y-4<br> 2x-y=7<br> use substitution method. pls explain :)
Nesterboy [21]

Answer:

the sustitucion metod is easy x=5  y=3

Step-by-step explanation:

x-3y=-4 (-2)

2x-y=7 (1)

-2x+6y=8

2x-y=7

5y=15

y=3

2x-3=7

2x=10

x=5

4 0
3 years ago
Read 2 more answers
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