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11Alexandr11 [23.1K]
3 years ago
9

Determine which lines, if any, are parallel. Choices may be repeated and some might not be used at all. Question 6 options: m∠20

+ m∠21 = 180° ∠13 ≅ ∠17 ∠4 ≅ ∠9 m∠14 + m∠17 = 180° ∠10 ≅ ∠23 ∠8 ≅ ∠19 1. a || b 2. b || c 3. a || c 4. d || e 5. doesn't prove lines parallel

Mathematics
1 answer:
11111nata11111 [884]3 years ago
4 0

Answer:

Step-by-step explanation:

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What is the next term in the geometric sequence? <br> 7,14,28, __
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<u>We have to look for the pattern in the numbers</u>, so we can figure out what the next term in the sequence is !

It looks like,<u> each number is multiplied by 2!</u>

7 × 2 = <em>14 </em>

14 × 2 = <em>28 </em>

So, what's next?

28 × 2 = ?

The next term in the geometric sequence is ... 56!

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If M is the midpoint of segment RS, then

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There is 267 students and 21 adults going on a school trip.An equal number of people will ride on each bus .If there 9 buses,how
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32

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A package contains 12 resistors, 3 of which are defective. If 4 are selected, find the probability of getting
s344n2d4d5 [400]

Answer:

Incomplete question, but I gave a primer on the hypergeometric distribution, which is used to solve this question, so just the formula has to be applied to find the desired probabilities.

Step-by-step explanation:

The resistors are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

12 resistors, which means that N = 12

3 defective, which means that k = 3

4 are selected, which means that n = 4

To find an specific probability, that is, of x defectives:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = x) = h(x,12,4,3) = \frac{C_{3,x}*C_{9,4-x}}{C_{12,4}}

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3 years ago
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