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borishaifa [10]
3 years ago
7

At a bargain store, Tanya bought three items that each cost the same amount. Tony bought four items that each cost the same amou

nt, but each was $2.25 less then the items that Tanya bought. Both Tanya and Tony paid the same amount of money. What was the individual cost of each person's items?
Mathematics
1 answer:
djverab [1.8K]3 years ago
5 0
Each of Tony’s items are $7.65
Each of Tanyas items are $10.2
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Step-by-step explanation:

The binomial probability formula can be used to find the probability of a binomial experiment for a specific number of successes.  It <em>does not</em> find the probability for a <em>range</em> of successes, as in this case.

 

The <em>range</em> "x≤4" means x = 0 <em>or</em> x = 1 <em>or </em>x = 2 <em>or</em> x = 3 <em>or</em> x = 4, so there are five different probability calculations to do.

 

To to find the total probability, we use the addition rule that states that the probabilities of different events can be added to find the probability for the entire set of events only if the events are <em>Mutually Exclusive</em>. The outcomes of a binomial experiment are mutually exclusive for any value of x between zero and n, as long as n and p don't change, so we're allowed to add the five calculated probabilities together to find the total probability.

 

The probability that x ≤ 4 can be written as P (X ≤ 4) or as P (X = 0 or X = 1 or X = 2 or X = 3 or X = 4) which means (because of the addition rule) that P(x ≤ 4) = P(x = 0) + P(x = 1) + P (x = 2) + P (x = 3) + P (x = 4)

Therefore, the probability of x<4 successes is P (X ≤ 4)

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explanation:

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