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lana66690 [7]
3 years ago
6

. The density of an object is its mass per unit of volume. Imagine two objects in which the larger one actually weighs less than

the smaller one. This difference in weight is attributed to density. Consider a candle that has a volume of 96 cubic inches and a weight of 44.16 ounces. What is the density of the candle? The density is defined as its mass per unit volume, so simply divide the mass of the candle by its volume: . In this case, you are finding the average density of the candle. In most cases, you will be finding the average density of objects because most objects do not have a uniform density. For instance, the portion of the candle where the wick is might have a different density than the rest of the candle. Now that you know about density, let’s work on some applications. Harold is a woodworker and is interested in finding the density of two different types of wood. He bought a pine log that has a 5-inch radius and is 30 inches long. The weight of the log is approximately 42.63 pounds. He also has an oak board that is 5.5 inches wide, 1.5 inches thick and 3 feet long. The board weighs approximately 8.05 pounds. Part A Which shapes can you use to model the log and the board?
Mathematics
1 answer:
ser-zykov [4K]3 years ago
8 0

Part A.

The log can be modeled by a cylinder.

The board can be modeled by a rectangular prism.

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If x% of four-digit numbers have a repeated digit (the repeated digits do not need to be adjacent), then what is x? Express your
joja [24]

Answer

It is a 4 digit number but 1 digit (exactly one digit) is repeated just once.

So 3 digits out of 10 have to be chosen.

There are 10C3 = 120 ways to do this.

say the digits chose are 5,6 and 9, they can be in any order and there are 3! possible orders =6 orders.

So so far that is 120*6=720 ways to get a 3 digit number where the digits are all different.

But we want a 4 digit number.

One digit has to be repeated there are 3 possibilities so that is 720*3 = 2160 posibilities.

But there are 4 postions that extra number can be put in. So that is 2160*4=8640 numbers

But I have double counted because 1434 is the same if I swap the 4s around so I have to halve this answer

8640/2 = 4320

So the number of favourable outcomes is 4320.

Altogether there are 10*10*10*10 = 10000 4 digit numbers (if they are allowed to start with 0)

so the prob of getting just one digit repeated once is 4320/10000 = 0.4320 = 43.2%

Do you understand now?

You will need to write your query on this thread but also send me a private message with the address of this thread attached. Otherwise I will not see it.

If you do have a query try to ask a specific question.

Anyway I hope that you understand

8 0
3 years ago
405 is what percent of 6750
sashaice [31]

Answer:

I think its answer is 6%

8 0
3 years ago
A $50.00 pair of shoes is discounted 20%. If sales tax is 8%, what is the amount of tax paid?
elena55 [62]
It would be answer b
8 0
3 years ago
Read 2 more answers
ALGEBRA 1 PLEASE HELP
solong [7]
Subtract the equations straight down. So we'll subtract the x terms together
5x - 5x = 0x = 0 
meaning the x terms effectively go away after subtraction

Then we do the y terms together in the same exact order
y-3y = -2y

Then finally the right hand side values
6 - (-5) = 6+5 = 11

All of that work done indicates we have 0x-2y = 11 which is the same as -2y = 11. Divide both sides by -2 and we end up with y = -11/2

This answer isn't listed so I'm thinking there's a typo your teacher made somewhere.
8 0
3 years ago
Which statements are correct interpretations of this graph?
Fudgin [204]
3 boxes are filled every 4 minutes
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3 years ago
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