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dem82 [27]
3 years ago
7

A certain forest covers an area of 2500 km2 . Suppose that each year this area decreases by 8.75% . What will the area be after

5 years? Use the calculator provided and round your answer to the nearest square kilometer.
Mathematics
1 answer:
jok3333 [9.3K]3 years ago
8 0
The answer to the question should be 1406.25
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6 high school seniors choose from among 20 quotes for their yearbook. What is the probability that at least 2 of them choose the
shusha [124]

Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.

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

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

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

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem, we have that:

  • There are 6 students, hence n = 6.
  • There are 20 quotes, hence the probability of each being chosen is p = 1/20 = 0.05.

The probability of one quote being chosen at least two times is given by:

P(X \geq 2) = 1 - P(X < 2)

In which:

P(X < 2) = P(X = 0) + P(X = 1).

Then:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{6,0}.(0.05)^{0}.(0.95)^{6} = 0.7351

P(X = 1) = C_{6,1}.(0.05)^{1}.(0.95)^{5} = 0.2321

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9672 = 0.0328

0.0328 = 3.28% probability that at least 2 of them choose the same quote.

More can be learned about the binomial distribution at brainly.com/question/24863377

6 0
2 years ago
Write the ratio 12 to 18 as a fraction in simplest form.
iVinArrow [24]

Answer:

Thus, 2/3 is the simplified fraction for 12/18 by using the GCD or HCF method. Thus, 2/3 is the simplified fraction for 12/18 by using the prime factorization method.

Step-by-step explanation:

To convert a fraction to a ratio, first write down the numerator, or top number. Second, write a colon. Thirdly, write down the denominator, or bottom number. For example, the fraction 1/6 can be written as the ratio 1:6.

4 0
2 years ago
Read 2 more answers
2 Points
vodomira [7]

1 is the magnitude of this question bro because it is process

3 0
3 years ago
Read 2 more answers
The ratio of boys to girls in class is 4 : 5 <br> What fraction of the class are boys
Sav [38]

Answer:

The ratio of boys to girls is 4:5. So let 4x be the number of boys and 5x be the number of girls. Then 4x+5x = 9x is the total number of students. Then the fraction of boys in the class is 4x/9x = 4/9.

6 0
3 years ago
Someone please help...​
Viefleur [7K]

Answer:

2 1/3

1 4/3

2.333...

233.3...%

Step-by-step explanation:

3 0
2 years ago
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