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tigry1 [53]
3 years ago
15

The midpoint of XY is Z. If XY = 3n and XZ = n + 15, what is YZ?

Mathematics
1 answer:
Degger [83]3 years ago
8 0

Answer:

the only thing i know that n=-30

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In a string of 12 Christmas tree light bulbs, 3 are defective. The bulbs are selected at random and tested, one at a time, until
Juliette [100K]

Using the hypergeometric distribution, it is found that there is a 0.0273 = 2.73% probability that the third defective bulb is the fifth bulb tested.

In this problem, the bulbs are chosen without replacement, hence the <em>hypergeometric distribution</em> is used to solve this question.

<h3>What is the hypergeometric distribution formula?</h3>

The formula is:

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

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

The parameters are:

  • 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.

In this problem:

  • There are 12 bulbs, hence N = 12.
  • 3 are defective, hence k = 3.

The third defective bulb is the fifth bulb if:

  • Two of the first 4 bulbs are defective, which is P(X = 2) when n = 4.
  • The fifth is defective, with probability of 1/8, as of the eight remaining bulbs, one will be defective.

Hence:

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

P(X = 2) = h(2,12,4,3) = \frac{C_{3,2}C_{9,1}}{C_{12,4}} = 0.2182

0.2182 x 1/8 = 0.0273.

0.0273 = 2.73% probability that the third defective bulb is the fifth bulb tested.

More can be learned about the hypergeometric distribution at brainly.com/question/24826394

8 0
2 years ago
Darius buys a sandwich for $5.25 and a drink for $2.99.
Anika [276]
He spends $8.24 all together
7 0
3 years ago
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The Free Food Club holds weekly meetings. In chronological order, they've ordered 12, 9, 11, 10, 13, 8, 7, and 13 pizzas over th
Katena32 [7]

Answer:

10.375

Step-by-step explanation:

1.) Add up all the amount of pizzas |  12 + 9 + 11 +10+13+8+ 7,+ 13=83

2) Divide the total amount of pizzas by the amount of pizzas/amount of numbers of pizzas. | 83 divided by 8 =

10.375

6 0
3 years ago
3 1/10- 2 5/6 in simplest form​
Allushta [10]

Answer:

\frac{4}{15}

Step-by-step explanation:

3  \frac{1}{10}  - 2 \ \frac{5}{6}

Convert the above mixed numbers to improper fractions through this simple approach: 3 × 10 + 1 /10 = 31/10. Similarly, 2 × 6 + 5 /6 = 17/6

\frac{31}{10}  -  \frac{17}{6}

Take the LCM of the denominators and simplify. LCM = 60. Thus, 60/10 = 6; 6 × 31 = 186. Also, 60/6 =10; 10×17 =170 all divide by 60:

=  \frac{186 - 170}{60}

Common factors between the numerator and denominator is 4, therefore 16/4 = 4 and 60/4 = 15.

=  \frac{16}{60}  =  \frac{4}{15}

Therefore the answer is 4/15 in simplest form.

8 0
3 years ago
The length of a light wave is approximately 0.0000037. Write in scientific notation.
tankabanditka [31]
The length of a light wave is 3.7 x 10^-6 in scientific notation
7 0
3 years ago
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