ANSWER
672cm²
EXPLANATION
The area of a regular hexagon is given by the formula,
where a=14cm is the apothem and p=96cm is the perimeter of the regular hexagon.
We substitute the values into the formula,
Therefore the approximate area of the hexagon is 672cm²
Answer:
Probability = 0.190
Step-by-step explanation:
Given:
Number of questions, 'n' = 20
Each question has four choices.
Let event of choosing correct answer be success and its probability be represented by 'p'.
Therefore, event of choosing wrong answer is failure and its probability be represented by 'q'.
Now, probability of success is choosing one correct answer out of 4 options. So,
Now, 'p' and 'q' are complements of each other. Therefore,
Now, we need 4 successes. Therefore,
Using Bernoulli's theorem to find 'x' successes from 'n' questions, we get:
Plug in 4 for 'x', 20 for 'n', 0.25 for 'p' and 0.75 for 'q'. Solve.
Therefore, the probability of getting 4 correct answers out of 20 questions is 0.190.