Using the binomial distribution, it is found that there is a 0.2617 = 26.17% probability that at least 8 but at most 10 students will complete their assignments before the due date.
For each student, there are only two possible outcomes, either they complete the assignment, or they do not. The probability of a student completing the assignment is independent of any other student, hence the <em>binomial distribution</em> is used to solve this question.
<h3>What is the binomial distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- The probability of a student successfully completing an assignment before the due date is 0.65, hence p = 0.65.
- Ten students are selected at random, hence n = 10.
The probability is:
In which:
Then:
0.2617 = 26.17% probability that at least 8 but at most 10 students will complete their assignments before the due date.
More can be learned about the binomial distribution at brainly.com/question/14424710
Median is a middle value
So it is 28
Answer:
(c) 40
Step-by-step explanation:
Let the resultant of the two vector is R
So
Squaring both side
We know that
So
Taking right part
Now taking left part
So the value of resultant should be in between 30 and 70
Which is 40 in the option so option c is correct option
9514 1404 393
Answer:
A) $1350
B) $5850
C) $162.50
Step-by-step explanation:
A) The interest is given by the formula ...
I = Prt
where P is the principal amount, r is the interest rate, and t is the number of years.
I = $4500×0.10×3 = $1350
The interest owed is $1350.
__
B) At maturity, the principal and interest are due. That amount is ...
$4500 +1350 = $5850
The maturity value is $5850.
__
C) If the maturity value is paid in 36 equal monthly installments, each is ...
$5850/36 = $162.50
The monthly payment is $162.50.
Multiply -2 and x, and you’ll have -2x. Then multiply -2 and 5, and you’ll have -10. Therefore, -2x-10=4, but we’re not done yet. We need to get x by itself, so what we’re gonna have to do is add 10 to both sides. Now you’ll have -2x=14, and when you divide both sides by -2, you’ll have x=-7 which will be your answer