Answer:
0.0082 = 0.82% probability that he will pass
Step-by-step explanation:
For each question, there are only two possible outcomes. Either the students guesses the correct answer, or he guesses the wrong answer. The probability of guessing the correct answer for a question 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.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this problem we have that:
.
If the student makes knowledgeable guesses, what is the probability that he will pass?
He needs to guess at least 9 answers correctly. So









0.0082 = 0.82% probability that he will pass
Answer:
C)
The rate of change/slope is constant, when you calculate it for this problem, it doesn't change for any amount of marbles listed in the table
Answer: 7 inches
Step-by-step explanation:
4 times 1 3/4 is 7
Answer:
D
Step-by-step explanation:
So we want to find<em> θ. </em>We are already given the hypotenuse and the side length opposite to <em>θ. </em>Therefore, we can use the trig function sine to find <em>θ. </em>
Recall that:

Plug in 10.2 for the opposite side and 15 for the hypotenuse:

Solve for <em>θ. </em>Use a calculator:

The answer is D.