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ASHA 777 [7]
3 years ago
8

An election ballot asks voters to select two city commissioners from a group of four candidates. In how many ways can this be do

ne?
Mathematics
1 answer:
DanielleElmas [232]3 years ago
8 0
Let n = 12
Let r = 6
Replace every n! with 12 and every r! with 6 and then do the math.
nCr = 12!/[(12 - 6)!*6!]
nCr = 479001600/(720)(720)
nCr = 479001600/518400
nCr = 924
There are 924 ways or combinations to select 6 city commissioners from a group of 12 candidates
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Monica [59]
The answer is z=-b/c-c/4+1/4
4 0
2 years ago
How to solve 2m - 3 = 13
Virty [35]

Answer:

m=8

Step-by-step explanation:

8 0
3 years ago
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Type the correct answer in each box. If necessary, use /for the fraction bars
Vikentia [17]

Answer:

The experimental probability of rolling an odd number is 60%, which is 10% more than the theoretical probability.

Step-by-step explanation:

The complete question is:

Type the correct answer in each box. Use numerals instead of words. If necessary, use/ for the fraction bar(s).

A special 8-sided die is marked with the numbers 1 to 8. It is rolled 20 times with these outcomes.

3, 4, 5, 2, 7, 1, 3, 7, 2, 6, 2, 1, 7, 3, 6, 1, 8, 3, 5, 6

The experimental probability of rolling an odd number is _%, which is _% more than the theoretical probability.

Solution:

The possible outcomes of rolling an 8-sided die are:

S = {1, 2, 3, 4, 5, 6, 7, 8}

The odd numbers are:

Odd = {1, 3, 5, 7} = 4 outcomes

The theoretical probability of rolling an odd number is:

P_{T}(\text{Odd})=\farc{4}{8}=\frac{1}{2}=50\%

Now from the given 20 outcomes the odd values are:

Odd = {3, 5, 7, 1, 3, 7, 1, 7, 3, 1, 3, 5} = 12 outcomes

Compute the experimental probability of rolling an odd number as follows:

P_{E}(\text{Odd})=\frac{12}{20}=\frac{3}{5}=60\%

Thus, the experimental probability of rolling an odd number is 60%, which is 10% more than the theoretical probability.

6 0
2 years ago
A right rectangular prism is packed with cubes of side length fraction 1 over 5 inch. If the prism is packed with 15 cubes along
Ann [662]

Given:

A right rectangular prism is packed with cubes of side length \dfrac{1}{5} inch.

Prism is packed with 15 cubes along the length, 6 cubes along the width, and 5 cubes along the height.

To find:

The volume of the prism

Solution:

Side length of each cube =\dfrac{1}{5} inch.

15 cubes along the length, so length of prism is

l=15\times \dfrac{1}{5}=3\text{ inches}

6 cubes along the width, so width of prism is

b=6\times \dfrac{1}{5}=\dfrac{6}{5}\text{ inches}

5 cubes along the height, so height of prism is

h=5\times \dfrac{1}{5}=1\text{ inch}

Now,

Volume of rectangular prism is

V=l\times b\times h

V=3\times \dfrac{6}{5}\times 1

V=\dfrac{18}{5}

V=\dfrac{3\times 5+3}{5}

V=3\dfrac{3}{5}\text{ cubic inches}

Therefore, the correct option is B.

7 0
3 years ago
Joseph and Isabelle left Omyra’s house at the same time. Joseph jogged north at 8 kilometers per hour, while Isabelle rode her b
Artist 52 [7]
For this case the distance will be given by:
 d ^ 2 = (12 * 1.5) ^ 2 + (8 * 1.5) ^ 2
 Rewriting we have:
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 d ^ 2 = 468
 d = root (468)
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 Answer:
 
1) She did not find the full distance each traveled in 1.5 hours.
 
2) She should have used 12 km for Joseph's distance and 18 km for Isabelle's distance.
8 0
3 years ago
Read 2 more answers
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