You are told to you will have to wait 5 hours in a line with a group of other people. Determine it. 1.You know the number of min
1 answer:
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<h3>The probability of student passing the quiz with at least 50% of the questions correct is 0.05457.</h3>
Step-by-step explanation:
Here, the total number of T/F question = 10
The minimum answers needed correctly answered = 8
So, student needs to answer at least 8 questions correctly.
Here, the possibility of answering a question correctly = = p = 0.5
Also, the possibility of answering a question wrong = = q = 0.5
Now, to pass he needs to answer 8 or more ( 8 , 9 or 10) answers correctly.
P(answering 8 correct answer) =
P(answering 9 correct answer) =
P(answering 10 correct answer) =
So, the total Probability = P(8) + P(9) + P(10)
= (0.0439) + (0.0097) + (0.00097)
= 0.05457
Hence, the probability that the student passes the quiz with at least 8 of the questions correct is 0.05457.
The sum would be written as:
It goes from n=1 to =5 because it is the first 5 terms of the sum.
The sequence has a first term, a₁, of 1. The common difference, d, is 3. The explicit formula would then be:
Using the distributive property to simplify, we would have:
It goes from n=1 to =5 because it is the first 5 terms of the sum.
The sequence has a first term, a₁, of 1. The common difference, d, is 3. The explicit formula would then be:
Using the distributive property to simplify, we would have:
Using the Fundamental Counting Theorem, there are 60 different ways to order the pizza.
<h3>What is the Fundamental Counting Theorem?</h3>It is a theorem that states that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
For this problem, the parameters are found as follows:
- For the sauce, there are 2 options, cheese or tomato, hence
.
- For the topping, there are 4 options, but the options may be combined, for example, Pepperoni and Sausage, hence
.
- The topping can be added to either all the pizza or only half the pizza, hence
.
Thus the number of ways is given by:
N = 2 x 15 x 2 = 60.
More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866
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