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Evgen [1.6K]
3 years ago
13

What is the perimeter of ABC, shown? A. 18.83 B. 204.7 C. 29.04 D. 34.5

Mathematics
2 answers:
sweet-ann [11.9K]3 years ago
8 0
The answer is C. 29.04
You use the Pythagorean theorem for the diagonal side because it’s a right triangle then you add all the sides and get C
svetlana [45]3 years ago
6 0

Answer:

Option C - 29.04

Step-by-step explanation:

A to C is 9

A to B is 8

C to B is ?

a^{2} + b^{2}  = c^{2}\\ 9^{2} + 8^{2}  = c^{2}\\81  + 64 = 145\\c = \sqrt{145} \\c = 12.04

Perimeter = a + b + c

                = 9 + 8 + 12.04

               = 29.04

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Unknown to a medical researcher, 6 out of 25 patients have a heart problem that will result in death if they receive the test dr
Fiesta28 [93]

Using the hypergeometric distribution, it is found that there is a 0.0002 = 0.02% probability that exactly 6 patients will die.

<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.

The values of the parameters for this problem are:

N = 25, k = 6, n = 8.

The probability that exactly 6 patients will die is P(X = 6), hence:

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

P(X = 6) = h(6,25,8,6) = \frac{C_{6,6}C_{19,2}}{C_{25,8}} = 0.0002

0.0002 = 0.02% probability that exactly 6 patients will die.

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

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8 0
2 years ago
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Answer:

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Your firm is contemplating the purchase of a new $570,000 computer-based order entry system. The system will be depreciated stra
Galina-37 [17]

Answer:

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Operating income = 270000 - 114000 = 156,000

Tax = 156,000 * 35% = 54,600

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