Answer:
The price for the first 100 customers is $142.00.
Step-by-step explanation:
Step 1: 10% of 179.99 = 17.99
Step 2: $179.99 - $17.99 = $162.00
Step 3: $162.00 - $20.00 = $142.00
Using the binomial distribution, it is found that there is a 0% probability that fewer that 5 in a sample of 20 pills will be acceptable.
For each pill, there are only two possible outcomes, either it is acceptable, or it is not. The probability of a pill being acceptable is independent of any other pill, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
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 sample has 20 pills, hence
.
- 100 - 4 = 96% are acceptable, hence

The probability that <u>fewer that 5 in a sample of 20 pills</u> will be acceptable is:

In which






0% probability that fewer that 5 in a sample of 20 pills will be acceptable.
A similar problem is given at brainly.com/question/24863377
Answer: Fraction they both eat =
.
Fraction of bag remains = 
Step-by-step explanation:
Given: Part of cookies eaten by Scott = 
Part of cookies eaten by sister = 
Fraction they both eat = 

Fraction of the bag remain = 
[Taking fraction of whole bag =1]
Hence, Fraction they both eat =
.
Fraction of bag remains = 
Answer:
Step-by-step explanation:
P = 3,000
r = 5% = 0.05
t = 9 years
Amount after 9 years is
A = P (1+ r)^t
A = 3,000(1+ 0.05)^9 = 3,000 * 1.05^9 = 4653.984648 ≈ $4,653.98
The balance after 9 years, rounded to the nearest cent is
$4,653 and 98 cents