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8090 [49]
3 years ago
8

Previous balance: $1,221.35; payment: $300; new purchases: $25.90 and$18.53; periodic rate: 1.75%

Mathematics
2 answers:
ZanzabumX [31]3 years ago
7 0

Answer:981.90

Step-by-step explanation:

lana66690 [7]3 years ago
4 0

Answer:

1478.67

Step-by-step explanation:

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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
Find the volume of a square pyramid 13 m tall whose base measures 5 m on a side
goblinko [34]
a=5m;\ H=13m\\\\The\ volume\ of\ a\ square\ pyramid:V=\frac{1}{3}a^2H\\\\Subtitute\ the\ values\ of\ a\ and\ H:\\\\\boxed{V=\frac{1}{3}\cdot5^2\cdot13=\frac{1}{3}\cdot25\cdot13=\frac{325}{3}=108\frac{1}{3}\ (m^3)}
8 0
3 years ago
The base of a prism has a perimeter of 12 centimeters and a height of 2 centimeters. The area of its base is 5 square centimeter
Lady_Fox [76]

Answer:so multiply 12*2=24 and 24*5=120 Is your answer .

Step-by-step explanation:

8 0
3 years ago
The boxed definition of absolute value states that |a|=-a if a is a negative number. Explain why |a| is always nonnegative, even
Temka [501]

Final answer:

Since absolute values determine the distance between the number and the value whether the value is positive or negative. As distance is always positive.

Thus, |a| is always nonnegative, even though |a|=-a for negative values of a.

Step-by-step explanation:

Step 1

It is said that |a| is always nonnegative even though even though |a|=-a for negative values of a.

Step 2

This is because by the definition of an absolute value, any real number inside an absolute value symbol || will always be positive.

7 0
2 years ago
У
jasenka [17]

Answer:

oops! it's too hard!!

i think i should need to do first so that i could provide you correct answer of it!!

5 0
2 years ago
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