Answer:
42.1875% probability that the student gets all three questions wrong
Step-by-step explanation:
For each question, there are only two possible outcomes. Either the student gets it wrong, or he does not. The probability of the student getting a question wrong is independent of other questions. So we use the binomial probability distribution to solve this question.
Binomial probabily 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.
On a multiple-choice test, each question has 4 possible answers.
One of these options is correct and the other 3 are wrong. We want to find the probability of getting questions wrong. So 
Three question:
This means that 
What is the probability that the student gets all three questions wrong?
This is P(X = 3).
42.1875% probability that the student gets all three questions wrong
Answer:
Angle 1 and angle 3 are vertical angles.
Step-by-step explanation:
They are diagonal from each other causing it to be vertical angles and equal.
Answer:
A= 4
B= 18
This is just basic math, so I didn't write it out step by step. I also didn't use a specific method in math, so I can't answer those questions for you. But there is the answer to the actual question.
The slope would be -2 because the graph is going down and from the y-intercept (0-2), it is going 2 units down and 1 unit right.
Answer: The statement is false.
Step-by-step explanation:
We have the statement:
(16 > f) if f = 17
In this case:
f = 17 is the hypothesis.
16 > f is the conclusion.
Then assuming that the hypothesis is true, we need to check if the conclusion is also true.
Then:
16 > f means "16 is larger than f"
Now let's assume that the hypothesis is true, then f = 17, and we can replace this in the inequality above, now we get:
16 > 17
This says "16 is larger than 17"
This is clearly false, then when the hypothesis is true, the conclusion is false.
This means that the statement:
" 16>f if f=17 "
is false.