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lord [1]
2 years ago
7

Please help this is due today!

Mathematics
1 answer:
Klio2033 [76]2 years ago
3 0

Answer:

x=63+86

Step-by-step explanation:

due to circle theory

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if you roll a fair 6-sided die 9 times, what is the probability that at least 2 of the rolls come up as a 3 or a 4?
Kay [80]

Using the binomial distribution, it is found that there is a 0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

For each die, there are only two possible outcomes, either a 3 or a 4 is rolled, or it is not. The result of a roll is independent of any other roll, hence, the <em>binomial distribution</em> is used to solve this question.

Binomial probability distribution

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:

  • There are 9 rolls, hence n = 9.
  • Of the six sides, 2 are 3 or 4, hence p = \frac{2}{6} = 0.3333

The desired probability is:

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_{9,0}.(0.3333)^{0}.(0.6667)^{9} = 0.026

P(X = 1) = C_{9,1}.(0.3333)^{1}.(0.6667)^{8} = 0.117

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.026 + 0.117 = 0.143

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.143 = 0.857

0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

For more on the binomial distribution, you can check brainly.com/question/24863377

7 0
3 years ago
A handbag was purchased for Rs.280/- and sold for Rs.350/- calculate profit%
Llana [10]

Answer:

profit is 25%

Step-by-step explanation:

profit%=sp-cp/cp×100%

=350-280/280×100%

=0.25×100

=25%

7 0
3 years ago
The exponent indicates how many times the blank is used as a factor
Tamiku [17]
The exponent indicates how many times the number is used as a factor
7 0
3 years ago
an older person is three years older than seven times the age of a younger person the sum of their ages is 43 find their ages
ruslelena [56]

Step-by-step explanation:

no thanksssssssssssssssssss

6 0
3 years ago
At the start of the month, Suzanne's clothing store website had 7,278 hits. At the end of the month, it had 50,165 hits. If each
jeyben [28]

Answer:

The closest answer would be A. 64,500

Step-by-step explanation:

50,165 - 7,278 = 42,887 hits

42,887 × 1.5 = 64,350.5 minutes

3 0
3 years ago
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