Chloe's family ate dinner at a restaurant and the bill was $86. If sales tax was 7.5% and they tipped 20% of the original bill,
1 answer:
You might be interested in
Binomial distribution can be used because the situation satisfies all the following conditions:1. Number of trials is known and remains constant (n)2. Each trial is Bernoulli (i.e. exactly two possible outcomes) (success/failure)3. Probability is known and remains constant throughout the trials (p)4. All trials are random and independent of the othersThe number of successes, x, is then given by
where
Here we're given
p=0.10 [ success = defective ]
n=3
(a) x=0
(b) x=2
(c) x ≥ 2
Here we're given
p=0.10 [ success = defective ]
n=3
(a) x=0
(b) x=2
(c) x ≥ 2
Answer:
One convergence criteria that is useful here is that, if aₙ is the n-th term of this sequence, then we must have:
Iaₙ₊₁I < IaₙI
This means that the absolute value of the terms must decrease as n increases.
Then we must have:
We can write this as:
If we assume that n is a really big number, then:
n + 1 ≈ 1
And we can write:
Then we have the inequality
And remember that this must be in absolute value, then we will have that:
-1 < (x - 2)/3 < 1
-3 < x - 2 < 3
-3 + 2 < x < 3 + 2
-1 < x < 5
The first option looks like this, but it uses the symbols ≤≥, so it is not the same as this, then the correct option will be the second.