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nata0808 [166]
3 years ago
11

For one Geometry test, Nancy correctly answered 18 questions. These correct answers gave her a percent score of 72%. In total, h

ow many questions were on this Geometry test?
Mathematics
1 answer:
Brrunno [24]3 years ago
4 0

Answer:

25 questions.

Step-by-step explanation:

Correct answer = 18

The percent score of the correct answers is 72%.

Let there are x questions in the test. So,

According to the given condition,

72\%\ of\ x=18\\\\\dfrac{72}{100}x=18\\\\x=\dfrac{18\times 100}{72}\\\\x=25

Hence, there were 25 questions in the geometry test.

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A. In a binomial distribution, the value ofx represents the number of successes in n trials, while in a geometric distribution, the value ofx represents the first trial that results in a success.

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:  

 

The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"

The most important difference is that in the binomial distribution, the value of x represents the successes in n trials.

And by the other hand in the geometric distribution, x represents the number of failures before you get a success in a series of Bernoulli trials.

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