I need these answered today please! Make sure to show the work as well.

Mathematics

2 answers:

fiasKO [112]3 years ago

8 0

In order to divide 96 by 4 we got a first find a number that when multiplied by four gives you nine or the closest number to nine, so our divisor would be 2 because 2×4 = 8. Substract 9-8 and you will get one as your
remainder, bring down the 6 and you have 16, because four times four gives you 16, that is our divisor (4). Now, there are no reminders. Our quotient is 24.

svetoff [14.1K]3 years ago

6 0

I think the dividend is 96 and 4 is the divisor, making 24 the quotient (answer). 4 goes into 9 twice, so write a 2 on top. then multiply 4 and 2 to get 8 and subtract it from 9 to get 1. bring down the 6 so now it’s 4/16, which is 4.

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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 $n = 16$ .