Katie has a roll of ribbon that is 8 feet long. She cuts off 3 feet of ribbon and the remaining length is cut into 8 shorter pie
1 answer:
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Using the binomial distribution, there is a 0.0874 = 8.74% probability that not enough seats will be available.
<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.
For this problem, the values of the parameters are given by:
n = 15, p = 0.85.
The probability that not enough seats will be available is P(X = 15), as the only outcome in which not enough seats will be available is when all 15 people who bought the ticket show up, hence:
0.0874 = 8.74% probability that not enough seats will be available.
More can be learned about the binomial distribution at brainly.com/question/24863377
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Answer:
Part 1)
A
Part 2)
C
Step-by-step explanation:
1)
We are given:
And that:
And we want to now for which values of x is h(x) undefined.
So, by substitution:
Remember that for rational functions, the function will be undefined if and only if the denominator is 0.
This is because we cannot divide by 0.
So, to find the values for which the denominator is 0, set the denominator to 0 and solve for x. Therefore:
Add 9 to both sides:
Take the square root of both sides. Since we are taking an even-root, we will need plus/minus. Therefore:
So, h(x) is undefined for ±3.
Our answer is A.
2)
We are given:
And we want to find:
So:
Distribute:
Combine like terms:
Rewrite:
Factor out:
So, our answer is C.