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never [62]
3 years ago
8

1. How many ways are there to make an octagon with 19 different sticks when order DOESN’T matter?

Mathematics
1 answer:
mart [117]3 years ago
6 0

Answer:

1. 19C8 = 75582

2. 19P8= 3047466240

Step-by-step explanation:

First, find the number of ways to get 8 sticks from 19. At first, you have 19 choices, then 18, then 17, all the way to 12. Giving you 19*18*17*...*13*12, or 19!/11!.

Combination:

When order doesn't matter, you have to divide 19!/11! by the number of ways to order 8 sides, or 19!/11!/8!=19C8=75582

Permutation:

When order doesn't matter, you don't have to divide 19!/11! by the number of ways to order 8 sides, since you count each of these, and 19!/11!=19P8=3047466240.

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Based on the tree diagram below what is the probability that the test for lice returns a false positive
Neporo4naja [7]

Answer:

0.0492

Step-by-step explanation:

Based on the tree diagram we need to tell the the probability that the test for lice returns a false positive. False positive means that the student has no lice but still the test shows a positive result.

So for this we have to first look for the branch, from the starting node, which shows that student has no lice. From the starting point, the upper branch represents the students that have lice and lower branch represents the students who have no lice. So, we will consider the lower branch with probability mentioned as 0.82

Now, the lower branch is divided into two branches further. We have to look for the branch which shows positive test result. This would be the upper branch with probability mentioned as 0.06.

The overall probability of this event is mentioned at the end of the branch which is 0.0492

This is the probability of the combined event: Student has no lice but tests shows positive result which is the False positive.

Thus, the probability that the test for lice returns a false positive is 0.0492

4 0
3 years ago
a contractor charges $1200 for 100 square feet of roofing installed. at this rate, how much does it cost to have 1100 square fee
Ratling [72]

Step-by-step explanation:

If it cost $1200 to install 100 square feet of roofing, then it will cost $13200 to have 1100 square feet installed.

$1200/ 100 square feet         multiply 11 on both sides

$13200/ 1100 square feet

<h3><u><em>Please mark this as brinliest thank you!!!</em></u></h3><h3><u><em>: )</em></u></h3><h3><u><em>And as always, </em></u></h3><h3><u><em>simplify bananas</em></u></h3>
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Hey guys, I'm relearning some Algebra and was confused about this problem. In the equation, the problem was divided by 3. This m
spayn [35]

Answer and Step-by-step explanation:

The signs didn't really "swap". Instead, the whole function was divided by -1, or we could say the function was divided by -3. That would turn:

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3 years ago
Read 2 more answers
What is 2 1/8 take away 1/2​
goblinko [34]

The equation is 2\frac{1}{8} - \frac{1}{2} .

1/2 is equivalent to 4/8, and 2 1/8 is equal to 17/8. (two full sets of 8 + 1 = 8 + 8 + 1, or 17)

The new equation is \frac{17}{8} -\frac{4}{8} . Subtract the numerators.

17 - 4 = 13 or 13/8

The improper fraction \frac{13}{8} simplifies to 1\frac{5}{8} .

<h2>Answer:</h2>

1\frac{5}{8}

Hope this helps :)

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70/7= 10 miles in January
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