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2 years ago

How many 1/2 inch cubes can fit in a rectangular prisim with length of 2 height of 3/2 and width of 1.

Mathematics

1 answer:

Mrac [35]2 years ago

3 0

Answer:

$X=6$

Step-by-step explanation:

From the question we are told that

Length $l=2$

Height $h=3/2$

Width $w=1$

Generally the equation for Volume of the Rectangular prism is mathematically given by

$v=l*h*w$

$v=2*\frac{3}{2}*1$

$v=3m^3$

Therefore the number of half 1/2 inch cube X in v is

$X=\frac{v}{1/2}$

$X=6$

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Write a paragraph comparing the two classes' semester grades. Be sure to compare the extremes, the quartiles, the medians, and t

Gnom [1K]

Answer:

Second class have higher marks and greater spread.

Step-by-step explanation:

First box plot represents class first. From the first box plot, we get

$\text{Minimum value }= 53,Q_1=62,Median=80,Q_3=86,\text{Maximum value }= 89$

$Range=Maximum-Minimum=89-53=36$

$IQR=Q_3-Q-1=86-62=24$

Second box plot represents class second. From the second box plot, we get

$\text{Minimum value }= 56,Q_1=62,Median=74,Q_3=89,\text{Maximum value }= 96$

$Range=Maximum-Minimum=96-56=40$

$IQR=Q_3-Q-1=89-62=27$

First class has greater minimum value, first quartile of both classes are same, second class has greater median, first class has greater third quartile and first class has greater maximum value. It means second class have higher marks but class first have less variation.

Second class has greater range and greater inter quartile range. It means data of second class has greater spread.

Therefore, second class have higher marks and greater spread.

3 0

2 years ago

Determinaţi numerele : <br> a = [1,2,3,4,5]<br> b=[4,9,2,3] <br> aub,anb,aubnb

matrenka [14]

Butttatoe!!!!!!!!!!!!!!!!!!!!!!!!!!!

3 0

2 years ago

The Jolly Maids clean three apartments in a weekend. The apartments have five, six, and four rooms, respectively. If they earn $

kondor19780726 [428]

Answer:

$20 per room

Step-by-step explanation:

5 + 6 + 4= 15

$300 % 15 = 20

$20 per room

7 0

3 years ago

John ,Rick , and Molli are painting a room together. It takes all of them 16 hours to paint the room to perfection. It takes Joh

CaHeK987 [17]

John's hourly rate is 1/8 of the room per hour.
Rick's hourly rate is 1/2 of the room per hour.
Molli's hourly rate would be 3/8 of the room per hour.

It takes Molli 2 2/3 hours to paint the room alone.

Explanation
Since John paints the entire room (100%=1) in 8 hours, he would paint 1/8 of the room in 1 hour.
Since Rick paints the entire room (100%=1) in 2 hours, he would paint 1/2 of it in 2 hour.

We do not yet know Molli's rate, so we will call it x.

We know that 1/8+1/2+x = 1 hour.

We will use 8 as a common denominator:
1/8+4/8+8x/8 = 1

Adding the numerators,
(1+4+8x)/8 = 1

Multiply both sides by 8:
1+4+8x = 8

Add like terms:
5+8x = 8

Subtract 5 from both sides:
5+8x-5=8-5
8x=3

Divide both sides by 8:
8x/8 = 3/8
x = 3/8

Molli's rate is 3/8.

Since she can paint 3/8 of the room in 1 hour, we can set up the equation
3/8x = 1

Divide both sides by 3/8:
3/8x ÷ 3/8 = 1 ÷ 3/8
x = 1/1 ÷ 3/8 = 1/1 × 8/3 = 8/3
x = 2 2/3

This is the amount of time it takes Molli to paint the entire room.

5 0

3 years ago

A drawer contains 60 pairs of socks. Each pair is one of four colors. What is the minimum number of socks that must be drawn, at

Anna35 [415]

Answer:

Minimum 5 socks needs to be selected.

Step-by-step explanation:

Given that there are four different colors of socks.

So, if you pick 4 socks , in worst case it will be all four of different color.

now if you pick 5th socks it will be either of those four colors.

Hence, minimum 5 socks must be taken to ensure that a pair of matching-color socks is selected.

______________________________________________

To elaborate it more,

let four colors be red, yellow, blue , green

if you pick 5 socks, then in worst case four will be all of different color

red, yellow, blue , green but fifth will be

If red socks, then there will 1 pair of red socks
If yellow socks, then there will 1 pair of yellow socks
If blue socks, then there will 1 pair of blue socks
If green socks, then there will 1 pair of green socks

Hence. minimum 5 socks needs to be selected.

_______________________________________

In general, if you have n objects of different colors then you need to take minimum n+1 number of object to have at least two object of same color.

8 0

2 years ago