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3 years ago

There are 487 books in the classroom library. What is this number rounded to the nearest ten?

Mathematics

2 answers:

DerKrebs [107]3 years ago

8 0

487 rounded to the nearest ten is 490......because 487 is closer to 490 then it is to 480.

Lorico [155]3 years ago

5 0

487 to the nearest 10 is 490.

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At Bridgeview School,7/10 of the total students are driven to school by their parents. Another 1/6 of the total students at Brid

jarptica [38.1K]

Answer: 2/15

Step-by-step explanation:

We are given the information that at Bridgeview School, 7/10 of the total students are driven to school by their parents and that 1/6 of the total students at Bridgeview School ride the bus.

The fraction of the students that walk to school would be:

= 1 - (7/10 + 1/6)

= 1 - (21/30 + 5/30)

= 1 - 26/30

= 4/30

= 2/15

5 0

3 years ago

Find y. y - 4 = 3x - 5y

Vlad [161]

Answer:
y = -1 + -0.75x
explanation:

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3 years ago

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A bicycle wheel with diameter 16 inches rides over a screw in the street. The screw is on level ground before it

34kurt

Answer:

16 inches

Step-by-step explanation:

Note: it should say 56π inches instead of 56 inches otherwise no option is correct

Given

Diameter of the wheel = 16 in

Full circumference of the wheel

C =πd = 16π

Bike moves

56π

The wheel turns:

56π /16π = 3.5 times

We only consider her 0.5 of full turn of the wheel to identify the screw position

Since we consider the turns from the ground level as the initial position of the screw, the screw position in the end will be half turn opposite to ground level.

This is the full diameter length, which is 16 inches

So correct answer option is 16 inches

3 0

3 years ago

A box has dimensions of 11 inches long, 4.4 feet wide, and 6 inches high. What is the volume of the box? The formula for the vol

xxMikexx [17]

Answer:

3484.8 in inches

Step-by-step explanation:

turn feet to inches and multiply all values

3 0

2 years ago

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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