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MakcuM [25]
2 years ago
10

Use the volume formula to find the volume of the prism.

Mathematics
2 answers:
lora16 [44]2 years ago
5 0

Answer:

Step-by-step explanation:

Download pdf
Oksana_A [137]2 years ago
4 0

Answer:12 1/2

Step-by-step explanation:

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The length of a rectangle is 6 ft longer than its width.
nasty-shy [4]

Answer:

135ft²

Step-by-step explanation:

Width = w

Length = w + 6

Perimeter = 48

Perimeter = 2(l + w)

Perimeter = 2(w + 6 + w) = 48

2(2w + 6) = 48

4w + 12 = 48

4w = 48 - 12

4w = 36

w = 36/4

width = 9

length = w + 6 = 9 + 6 = 15

Area = length × width

= 15 × 9

= 135 ft²

4 0
1 year ago
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Which choice is equivalent to the expression below? 12^-2<br> 12 Points!!!!
Brut [27]

D

Step-by-step explanation:

8 0
3 years ago
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2,2,2,2,3,5,7,9,9,10,11,12,18 find the median​
Natasha2012 [34]

Answer:

median = 7

Step-by-step explanation:

The median is the middle value of the data set arranged in ascending order

2, 2, 2, 2, 3, 5, 7, 9, 9, 10, 11, 12, 18

                        ↑ middle value

median = 7

6 0
3 years ago
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Is grade level qualitative or quantitative?
Tanya [424]
It would be quantitive I believe
8 0
3 years ago
7) PG &amp; E have 12 linemen working Tuesdays in Placer County. They work in groups of 8. How many
BabaBlast [244]

Part A

Since order matters, we use the nPr permutation formula

We use n = 12 and r = 8

_{n}P_{r} = \frac{n!}{(n-r)!}\\\\_{12}P_{8} = \frac{12!}{(12-8)!}\\\\_{12}P_{8} = \frac{12!}{4!}\\\\_{12}P_{8} = \frac{12*11*10*9*8*7*6*5*4*3*2*1}{4*3*2*1}\\\\_{12}P_{8} = \frac{479,001,600}{24}\\\\_{12}P_{8} = 19,958,400\\\\

There are a little under 20 million different permutations.

<h3>Answer: 19,958,400</h3>

Side note: your teacher may not want you to type in the commas

============================================================

Part B

In this case, order doesn't matter. We could use the nCr combination formula like so.

_{n}C_{r} = \frac{n!}{r!(n-r)!}\\\\_{12}C_{8} = \frac{12!}{8!(12-8)!}\\\\_{12}C_{8} = \frac{12!}{4!}\\\\_{12}C_{8} = \frac{12*11*10*9*8!}{8!*4!}\\\\_{12}C_{8} = \frac{12*11*10*9}{4!} \ \text{ ... pair of 8! terms cancel}\\\\_{12}C_{8} = \frac{12*11*10*9}{4*3*2*1}\\\\_{12}C_{8} = \frac{11880}{24}\\\\_{12}C_{8} = 495\\\\

We have a much smaller number compared to last time because order isn't important. Consider a group of 3 people {A,B,C} and this group is identical to {C,B,A}. This idea applies to groups of any number.

-----------------

Another way we can compute the answer is to use the result from part A.

Recall that:

nCr = (nPr)/(r!)

If we know the permutation value, we simply divide by r! to get the combination value. In this case, we divide by r! = 8! = 8*7*6*5*4*3*2*1 = 40,320

So,

_{n}C_{r} = \frac{_{n}P_{r}}{r!}\\\\_{12}C_{8} = \frac{_{12}P_{8}}{8!}\\\\_{12}C_{8} = \frac{19,958,400}{40,320}\\\\_{12}C_{8} = 495\\\\

Not only is this shortcut fairly handy, but it's also interesting to see how the concepts of combinations and permutations connect to one another.

-----------------

<h3>Answer: 495</h3>
5 0
2 years ago
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