Answer:
a) P(4) = 0.1168
b) P(More than 2) = 0.3993
Step-by-step explanation:
For each question, there are only to possible outcomes. Either the students guesses the correct answer, or he guesses the wrong. Each 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.
9 questions.
This means that
Each question has four choices.
This means that
(a) Find P(4).
This is P(X = 4).
So
P(4) = 0.1168
(b) Find P (More than 2).
Either the student answers 2 or less questions correctly, or the student answers more than 2 correctly. The sum of the probabilities of these events is 1. Then
We want . Then
In which
So
Then
P(More than 2) = 0.3993
Answer:
1, 2, 4, and 5
Step-by-step explanation:
just did the assignment
Step-by-step explanation:
Answer:
19.5
Step-by-step explanation:
BY THE SECANT/TANGENT SEGMENT LENGTH THEOREM
= 10 x (28 + 10) = 10 x 38 = 3819.50
x = square root of 380 = <u>19.49358869 (approximately 19.5)</u>
<u>OPTION A</u>
<u></u>
<u><em>***SECANT/TANGENT SEGMENT LENGTH THEOREM
</em></u>
<u><em>
</em></u>
<u><em>If a secant and tangent are drawn from a common exterior point, then the
</em></u>
<u><em>product of the length of the secant with the length of its external
</em></u>
<u><em>segment is equal to the square of the length of the tangent.</em></u>
The answer is 72.5 because you add them all up then divide 10