Write each number in scientific notation. 1. 14,700
1 answer:
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Answer:
The probability of obtaining exactly 5 correct answers on a ten question examination is 0.1366.
Step-by-step explanation:
Each multiple-choice questions has three options (a), (b) and (c).
The probability of getting a correct answer is, since one of the three options is correct.
But this students has an unique way of selecting the answers.
He rolls a die and according to the result of the die he marks the answers.
The sample space of rolling a die is: S = {1, 2, 3, 4, 5, 6}
Odds of picking the three options are as follows:
- To pick (a): If 1 or 2 rolls of the die.
The probability to pick (a) is,
- To pick (b): If 3 or 4 rolls of a die.
The probability to pick (a) is,
- To pick (c): If 5 or 6 rolls of the die.
The probability to pick (a) is,
Thus, all the three options have the equal probability of being picked.
Let <em>X</em> = Number of correct answers.
The number of questions is, <em>n</em> = 10 and probability of selecting a correct option is , p = .
The random variable <em>X</em> follows Binomial distribution.
The probability function is:
Compute the probability of obtaining exactly 5 correct answers on a ten question examination as:
Thus, the probability of obtaining exactly 5 correct answers on a ten question examination is 0.1366.
Ans(a):
We know that a function can't have repeated x-values.
In given table we see that there i no repeating x-value. That's why the given table represents function.
Ans(b):
We know that a function can't have repeated x-values.
So if in given table we see any repeating x-value then that may cause the given data set to not be a function.
like if we have 3, 4, 3, 11 in the input then it will not be a function.
Ans(c):
we can use two points say (3,5) and (4,7) to find the linear equation of the form y=mx+b
slope is given by
Noow plug value of m=2 and any point say (3,5) into y=mx+b
5=2(3)+b
5=6+b
-1=b
now plug m=2 and b=-1 in y=mx+b, we get y=2x-1
Hence required equation in function notation can be written as
f(x)=2x-1.
Now to prove that above function is correct, we just graph the given points from table and the obtained function.
We see that points lie on the grpah of f(x)=2x-1.
Which proves that our equation is correct.
