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ioda
3 years ago
5

What are the solutions to the system of equations? y=2x2−5x−7 y=2x+2

Mathematics
1 answer:
IceJOKER [234]3 years ago
5 0

Answer:

Step-by-step explanation:

y=2x²-5x-7

y=2x+2

2x²-5x-7=2x+2

2x²-7x-9=0

2x²-9x+2x-9=0

x(2x-9)+1(2x-9)=0

(2 x-9)(x+1)=0

x=9/2 ,-1

y=11 ,0

solutions are (9/2,11),(-1,0)

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Keith_Richards [23]

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a) n = 50, p = \frac{1}{6}

b) n = 16, p = \frac{1}{100}

c) n = 26, p = 0.25, \mu = 6.5

Step-by-step explanation:

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 combinatios 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.

(a) A fair die is rolled 50 times. X = number of times a 5 is rolled

The die is rolled 50 times, so n = 50.

Each roll can have 6 outcomes. So the probability that 5 is rolled is p = \frac{1}{6}

(b) A company puts a game card in each box of cereal and 1/100 of them are winners. You buy sixteen boxes of cereal, and X = number of times you win.

You buy 16 boxes of cereal, so n = 16.

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He wins 25% of the time, so p = 0.25

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6 0
3 years ago
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