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3 years ago

Which value of $y$ makes the equation $3y+8=7y+11$ true?

Mathematics

1 answer:

valentinak56 [21]3 years ago

8 0

value of y which satisfies equation $3y+8=7y+11$ is $y= \frac{-3}{4}$ .

Step-by-step explanation:

We have , 3y+8=7y+11 . We need to find which value of y satisfies this equation 3y+8=7y+11 :

$3y+8=7y+11$

⇒ $3y+8=7y+11$

⇒ $(3y+8)-3y=(7y+11)-3y$

⇒ $8=4y+11$

⇒ $4y+11 = 8$

⇒ $(4y+11)-11 = 8-11$

⇒ $4y= -3$

⇒ $\frac{4}{4}y= \frac{-3}{4}$

⇒ $y= \frac{-3}{4}$

Therefore, value of y which satisfies equation $3y+8=7y+11$ is $y= \frac{-3}{4}$ .

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Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

For each of the following binomial random variables, specify n and p. (a) A fair die is rolled 50 times. X = number of times a 5

Keith_Richards [23]

Answer:

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 $n = 16$ .

1 of 100 are winners. So $p = \frac{1}{100}$ .

(c) Jack likes to play computer solitaire and wins about 25% of the time. X = number of games he wins out of his next 26 games.

He plays 26 games, so $n = 26$ .

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

We have that $\mu = np$ . So $\mu = 26*0.25 = 6.5$

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3 years ago