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gavmur [86]
3 years ago
13

10 points, thanks for the help :)

Mathematics
1 answer:
Margaret [11]3 years ago
7 0

Answer:

Step-by-step explanation:

Factoring an expression is the process of undoing the multiplication.

Assume you have a function f(x):

f(x)=x^2+2x-48

This can be factored:

f(x)=(x+8)(x-6)

Using multiplication and the distributive property, you arrive back to:

f(x)=x^2+2x-48

Then you can see clearly that all we've done is reverse the multiplication.

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3

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because 3 is the only number that goes into both 3 and 27

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1.No, 143 is not a prime number. The list of all positive divisors the list of all integers that divide 143 is as follows: 1, 11, 13, 143. To be 143 a prime number, it would have been required that 143 has only two divisors, itself and 1.

2.Since the polynomial can be factored, it is not prime.

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IgorLugansk [536]

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(1)14.9% (2) 2.96% (3) 97.04%

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Formula for Poisson distribution: P(k) = \frac{\lambda^ke^{-k}}{k!} where k is a number of guests coming in at a particular hour period.

(1) We can substitute k = 7 and \lambda = 7 into the formula:

P(k=7) = \frac{7^7e^{-7}}{7!}

P(k=7) = \frac{823543*0.000911882}{5040} = 0.149 = 14.9\%

(2)To calculate the probability of maximum 2 customers, we can add up the probability of 0, 1, and 2 customers coming in at a random hours

P(k\leq2) = P(k=0)+P(k=1)+P(k=2)

P(k\leq2) = \frac{7^0e^{-7}}{0!} + \frac{7^1e^{-7}}{1!} + \frac{7^2e^{-7}}{2!}

P(k \leq 2) = \frac{0.000911882}{1} + \frac{7*0.000911882}{1} + \frac{49*0.000911882}{2}

P(k\leq2) = 0.000911882+0.006383174+0.022341108 \approx 0.0296=2.96\%

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P(k\geq 3) = P(k>2) = 1 - P(k\leq2) = 1 - 0.0296 = 0.9704 = 97.04\%

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3 years ago
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