All categories

3 years ago

Round 23.069 to the nearest nearest ten

Mathematics

1 answer:

devlian [24]3 years ago

5 0

23.069 to the nearest ten is 20.000.
Hope that helped!!!

You might be interested in

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

The perimeter of the triangle below is 8x - 6.

Vikentia [17]

Answer:

QR = 4x - 6

Step-by-step explanation:

A triangle is a polygon that has three sides and three angles. There are different types of triangles such as equilateral triangle, isosceles triangle, scalene triangle, right angled triangle.

The perimeter of a triangle is a measure of the length of the sides. It is the sum of all the length of the three sides of the triangle.

From the question:

Perimeter of triangle PQR = PQ + PR + QR

But PR = 3x - 1, PQ = x + 1, Perimeter of PQR = 8x - 6.

Therefore substituting gives:

8x - 6 = (x + 1) + (3x - 1) + QR

8x - 6 = (x + 3x + 1 - 1) + QR

8x - 6 = 4x + QR

QR = (8x - 6) - 4x

QR = 4x - 6

6 0

3 years ago

What is n? No links!! I repeat NO links

rewona [7]

Answer:

180 = 70 +80 +n

n = 30

Step-by-step explanation:

good luck have a nice day

4 0

3 years ago

Read 2 more answers

What is the measure of AC?

sveta [45]

Answer:

The measure of AC is 4 and 46.

Step-by-step explanation:

8 0

3 years ago

Which expression is equivalent to OA2 42 O -7 1

Marina CMI [18]

it is the last one before the time

8 0

3 years ago