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3 years ago

15

A student tracks their amount of hours of sleep per night for a week. If they sleep the following amount of hours each night, wh

at is their MEAN number of hours of sleep? 4, 5, 5, 5, 6, 9, 10

1 answer:

Fantom [35]3 years ago

3 0

The answer is 6.2857 you take all the values add them together then divide by the amount of values

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A contractor is tiling your bathroom with one-foot square tiles. How many tiles are needed for the job? PLS HELPPP

Evgesh-ka [11]

Answer:

Depends on the bathroom

Step-by-step explanation:

Basically since I don't know the bathroom length and width, Ima just cut it down for you.

It is your bathroom area (length*width) divided by the area of the tiles, which is 1*1=1 foot^2(square)

Also it depends on the unit you used for the bathroom, you gotta transfer the unit for the bathroom length and width into feet.

So you should get number for bathroom area with the unit feet square.

4 0

3 years ago

Find an equation of the sphere that passes through the origin and whose center is (-2, 2, 3). Be sure that your formula is monic

Andrei [34K]

Answer:

$\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}$

Step-by-step explanation:

Given the center of sphere is: (-2, 2, 3)

Passes through the origin i.e. (0, 0, 0)

To find:

The equation of the sphere ?

Solution:

First of all, let us have a look at the equation of a sphere:

$(x-a)^2+(y-b)^2+(z-c)^2=r^2$

Where ( $x,y,z$ ) are the points on sphere.

$(a, b, c)$ is the center of the sphere and

$r$ is the radius of the sphere.

Radius of the sphere is nothing but the distance between any point on the sphere and the center.

We are given both the points, so we can use distance formula to find the radius of the given sphere:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}$

Here,

$x_1 =0 \\y_1 =0 \\z_1 =0 \\x_2 =-2 \\y_2 =2 \\z_2 =3$

So, Radius is:

$r = \sqrt{(-2-0)^2+(2-0)^2+(3-0)^2}\\\Rightarrow r = \sqrt{4+4+9} = \sqrt{17}$

Therefore the equation of the sphere is:

$(x-(-2))^2+(y-2)^2+(z-2)^2=(\sqrt{17})^2\\\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}$

4 0

3 years ago

How can you determine if a number is a rational number

Murljashka [212]

Rational numbers can be written as a fraction

7 0

3 years ago

A right rectangular prism has a length of 5 cm, a width of 4 cm, and a height of 3 cm. The dimensions of the prism are doubled.

yKpoI14uk [10]

Answer:

376 square centimeters

Step-by-step explanation:

When doubled, the new length is 5*2=10 cm, new width is 4*2=8 cm, and new height is 3*2=6 cm.

The surface area of a rectangular prism is given by : $2(lw+wh+lh)$

Where l is length, w is width, and h is height

Plugging in the new values we get:

$2(lw+wh+lh)\\=2((10)(8)+(8)(6)+(10)(6))\\=2(80+48+60)\\=2(188)\\=376$

The surface area of the enlarged prism = 376 cm^2

6 0

3 years ago

Read 2 more answers

Brainliest to correct quickly plz

fiasKO [112]

Answer:

12/25, 0.25, -6

Step-by-step explanation:

-6 is lower than 0

12/25 is higher than .25 because .25 is 1/4.

4 0

2 years ago

Read 2 more answers