What is the square root of 500.

Mathematics

2 answers:

postnew [5]4 years ago

8 0

Answer:

The square root of 500 is 22.360679774998 or √ 500 = 22.360679774998

Step-by-step explanation:

Elden [556K]4 years ago

4 0

Answer: 22.360679775

Step-by-step explanation: thats the answer

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Question 61 pts Richard has been given a 12-question multiple-choice quiz in his history class. Each question has three answers,

Brut [27]

Answer:

0.946 = 94.6% probability that he will answer at least 2 questions correctly.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either he answers it correctly, or he does not. The probability of answering a question correctly is independent of other questions. So we use the binomial probability distribution to solve this question.

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 combinations 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.

12 questions.

This means that $n = 12$

Each question has three answers, of which only one is correct.

This means that $p = \frac{1}{3} = 0.3333$

Assuming that Richard guesses on all 12 questions, find the probability that he will answer at least 2 questions correctly.

Either he answers less than 2 questions correctly, or he answers at least 2 questions correctly. The sum of the probabilities of these outcomes is decimal 1. So

$P(X < 2) + P(X \geq 2) = 1$