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3 years ago

Four times the difference of a number and 16.

Mathematics

1 answer:

Sunny_sXe [5.5K]3 years ago

5 0

Answer:

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZZZZZ

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Check my work? I came up with 60 degrees. Let me know!

dalvyx [7]

90 minus 32 is 58! You were off by two degrees:)

3 0

3 years ago

Read 2 more answers

37% of 293 estimate

earnstyle [38]

Answer:

108.41

Step-by-step explanation:

7 0

3 years ago

2/3 * 10/24*-3 1/8* -4/5

nadya68 [22]

Answer: 25/36

Step-by-step explanation:

Multiply:

2/3 * 10/24 = 20/72 = 5/18

-3 1/8 * -4/5 = 5/2

5/18 * 5/2 = 25/36

7 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]

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

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

From the chapter Rational Numberssome body please answer fast

Alexxx [7]

Answer:

- $\frac{3}{7}$

Step-by-step explanation:

Given

- $\frac{42}{98}$ ← divide numerator/ denominator by 14 )

= - $\frac{3}{7}$

7 0

3 years ago