Vega swam her leg of the race in 27.98 seconds and Janice swam her leg of the relay race in 25.679 seconds. What was their combi
1 answer:
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Answer:
16.4 feet.
Step-by-step explanation:
We have been given that the length of the hypotenuse of a right triangle is 20 feet. The tangent of one of the acute angles, angle , is 1.42. We are asked to find the length of the side opposite angle
.
We can represent our given information in an equation as:
Now, we will use arctan to solve for theta as:
Now, we will use sine to solve for opposite side as sine relates opposite side of right triangle with hypotenuse.
Therefore, the opposite side to angle theta is 16.4 feet.
Answer:
The probability that the student answers at least seventeen questions correctly is .
Step-by-step explanation:
Let the random variable <em>X</em> represent the number of correctly answered questions.
It is provided all the questions have five options with only one correct option.
Then the probability of selecting the correct option is,
There are <em>n</em> = 20 question in the exam.
It is also provided that a student taking the examination answers each of the questions with an independent random guess.
Then the random variable can be modeled by the Binomial distribution with parameters <em>n</em> = 20 and <em>p</em> = 0.20.
The probability mass function of <em>X</em> is:
Compute the probability that the student answers at least seventeen questions correctly as follows:
Thus, the probability that the student answers at least seventeen questions correctly is .