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just olya [345]
2 years ago
13

F(x). = x3+2x2+9x+18 find all zeros and use synthetic division

Mathematics
1 answer:
prisoha [69]2 years ago
8 0
F(x)= (x-2) (x2-9) = (x-2)(x-3)(x+3)
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7

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since \sqrt{50}>\sqrt{49}=7

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You have a deck of t trading cards. You give 19 cards to a friend and have 9 left for yourself. How many cards were in the origi
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Avery has 2 blue marbles. One sixth of Avery's marble are blue. How many marbles does Avery have?
katrin [286]

Answer:

Step-by-step explanation:

The equation

2 = (1/6)x represents this situation.

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6 0
2 years ago
In Happyville, the ideal family has four children, at least two of which are girls. If you randomly select a Happyville family t
sleet_krkn [62]

Answer:

0.3125 = 31.25% probability that it is not ideal.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either it is a girl, or they are not. The probability of a child being a girl is independent of any other child. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

0.5 probability of a children being a girl:

This means that p = 0.5

If you randomly select a Happyville family that has four children, what is the probability that it is not ideal?

Not ideal is less than two girls, so this is P(X < 2).

Four children means that n = 4. So

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

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

P(X = 0) = C_{4,0}.(0.5)^{0}.(0.5)^{4} = 0.0625

P(X = 1) = C_{4,1}.(0.5)^{1}.(0.5)^{3} = 0.25

P(X < 2) = P(X = 0) + P(X = 1) = 0.0625 + 0.25 = 0.3125

0.3125 = 31.25% probability that it is not ideal.

7 0
2 years ago
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