A farmer wants to build a fence around a rectangular area of his farm with one side of the region against his barn. He has 76 fe
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Using the binomial distribution, it is found that there is a 0.0555 = 5.55% probability that more than 3 of these selected children have three siblings.
<h3>What is the binomial distribution formula?</h3>The formula is:
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, for the parameters, we consider that:
- 10% of the 9-year old children in a town have three siblings, hence p = 0.1.
- Fifteen 9-year old children are selected at random, hence n = 15.
The probability that more than 3 of these selected children have three siblings is given by:
In which:
Then:
P(X > 3) = 1 - 0.9445 = 0.0555
0.0555 = 5.55% probability that more than 3 of these selected children have three siblings.
More can be learned about the binomial distribution at brainly.com/question/24863377
Answer:
The simplest form of is
Step-by-step explanation:
To add two algebraic fractions do these steps
- Factorize each denominator
- Simplify each fraction to its lowest term
- Find the LCM of the two denominators
- Divide LCM by each denominator and multiply the numerators by its corresponding quotients
- Add the two fraction and simplify the last answer
To simplify
Factorize each denominator
∵ The denominator of the first fraction is x² + 5x + 6
∵ x² = (x)(x)
∵ 6 = (2)(3)
∵ (2)(x) + (3)(x) = 5x ⇒ middle term
∴ x² + 5x + 6 = (x + 2)(x + 3)
∵ The denominator of the second fraction is x² + 3x + 2
∵ x² = (x)(x)
∵ 2 = (2)(1)
∵ (2)(x) + (1)(x) = 3x ⇒ middle term
∴ x² + 3x + 2 = (x + 2)(x + 1)
Find the LCM of the two denominators
∵ The denominators are (x + 2)(x + 3) and (x + 2)(x + 1)
- LCM is all the <u><em>different factors</em></u> multiplied together
∴ LCM of them is (x + 1)(x + 2)(x + 3)
- Divide LCM by each denominator
∵ (x + 1)(x + 2)(x + 3) ÷ (x + 2)(x + 3) = (x + 1)
- Multiply the numerator of the first fraction by (x + 1)
∵ (x + 1)(x + 2)(x + 3) ÷ (x + 2)(x + 1) = (x + 3)
- Multiply the numerator of the second fraction by (x + 3)
∴ =
- Add the numerators and write the answer as a single fraction
∴ =
- Factorize the numerator by taking 2 as a common factor
∵ 2x + 4 = 2(x + 2)
∴ =
- Simplify the fraction by dividing up and down by (x + 2)
∴ =
The simplest form of is
Answer:
look below
Step-by-step explanation:
