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I am Lyosha [343]
3 years ago
7

1. State if each scenario involves a permutation or a combination. Then find the number of possibilities:(a) Castel and Joe are

planning trips to three countries this year. There are 7 countries they would like to visit. One trip will be one week long, another two days, and the other two weeks.(b) You are setting the combination on a three-digit lock. You want to use the numbers 123 but don't care what order they are in.(c) A group of 25 people are going to run a race. The top 8 finishers advance to the finals.
Mathematics
1 answer:
BaLLatris [955]3 years ago
5 0

Answer:

a) This is a permutation, there are 210 ways to do it

b) This is a permutation with 6 possibilities

c) This is a combination with a total of 1081575 possibilities

Step-by-step explanation:

a) Here the order does matter bacause it is not the same that they go to France in the weak trip than they go there for 2 days, as a result, this scenario is a permutation.

You need to pick 3 countries from a total of 7, but the order matters, so the total amount of ways to do this is

{7 \choose 3} * 3! = \frac{7!}{(7-3)!} = 210

b) Here each permutation of 123 will give you a possible (and a different one from the others) lock-combination, so this is again a permutation.

The total amount of ways we have to do the selectio of the lock-combination is the total amount of permutations of a set of 3 elements, in other words, it is 3! = 6.

c) If you only cares about who advances to the finals, then the order doesnt matter here, you just want 8 people out of the 25 available. This is therefore a combination, and the total amount of possible cases are

{25 \choos 8} = 1081575 .

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VMariaS [17]

Answer:

65%=$260

Step-by-step explanation:

40%+25%=65%

65% of 400

65/100*400

=$260

7 0
2 years ago
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Geometry! Please help!!
krek1111 [17]
Problem One
Find AM
AM = 71.5 - 22 = 49.5

Step Two
State the Givens.
AM = 49.5
MN = 71.5
MB = x
MP = 97.5

Step Three
Set up the Proportion

AM : NM :: x : PM
49.5 : 71.5 :: x : 97.5

Substitute and solve
49.5 / 71.5 = x / 97.5    Cross Multiply
49.5 * 97.5 = 71.5 * x   Combine the numbers on the left.
4860.375 = 71.5 * x     Divide by 71.5
4860.375 / 71.5 = x      
x = 67.98

Problem Two
Remark
This is just a straight application of the Pythagorean Theorem
a^2 + b^2 = c^2
a = 10
b = 24
c = ??

10^2 + 24^2 = c^2
100 + 576 = c^2
676 = c^2
sqrt(c^2) = sqrt(676)
c = 26  <<<< answer
6 0
3 years ago
Leah loves chicken wings and is comparing the deals at three different restaurants. Buffalo Bills has 88 wings for \$7$7. Buffal
Ksivusya [100]

Answer:

Buffalo mild wings offers the lowest price per wing ($0.83).

Step-by-step explanation:  

Let us find unit price per buffalo wing of each restaurant.

\text{Unit rate for buffalo bills}=\frac{\$7}{8\text{ wings}}

\text{Unit rate for buffalo bills}=\frac{\$0.875}{\text{ wing}}

Upon rounding our answer to nearest cent we will get,

\text{Unit rate for buffalo bills}=\frac{\$0.88}{\text{ wing}}

Therefore, buffalo bills offers each wing for $0.88.

\text{Unit rate for buffalo mild wings}=\frac{\$10}{12\text{ wings}}

\text{Unit rate for buffalo mild wings}=\frac{\$0.83333}{\text{ wing}}

Upon rounding our answer to nearest cent we will get,  

\text{Unit rate for buffalo mild wings}=\frac{\$0.83}{\text{ wing}}

Therefore, buffalo mild wings offers each wing for $0.83.

\text{Unit rate for wingers}=\frac{\$17}{20\text{ wings}}

\text{Unit rate for wingers}=\frac{\$0.85}{\text{ wing}}

Therefore, wingers offers each wing for $0.85.

We can see that buffalo mild wings offers the lowest price per wing that is $0.83 per wing.

3 0
3 years ago
If I have a 74 in geometry, and I have an assignment worth 100 points then I get a zero, what would my grade be?
Paraphin [41]

................

Step-by-step explanation:

it would at LEAST be like around 20-30 because a 0 can drop something FAST

3 0
3 years ago
How do I do this ???
Triss [41]

Answer:

He can cut 6 sections this length.

Step-by-step explanation:

he has

7(12) = 84 inches of rope.

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49.5/8.25 = 6

4 0
3 years ago
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