Answer:
381 different types of pizza (assuming you can choose from 1 to 7 ingredients)
Step-by-step explanation:
We are going to assume that you can order your pizza with 1 to 7 ingredients.
- If you want to choose 1 ingredient out of 7 you have 7 ways to do so.
- If you want to choose 2 ingredients out of 7 you have C₇,₂= 21 ways to do so
- If you want to choose 3 ingredients out of 7 you have C₇,₃= 35 ways to do so
- If you want to choose 4 ingredients out of 7 you have C₇,₄= 35 ways to do so
- If you want to choose 5 ingredients out of 7 you have C₇,₅= 21 ways to do so
- If you want to choose 6 ingredients out of 7 you have C₇,₆= 7 ways to do so
- If you want to choose 7 ingredients out of 7 you have C₇,₇= 1 ways to do so
So, in total you have 7 + 21 + 35 + 35 + 21 +7 + 1 = 127 ways of selecting ingredients.
But then you have 3 different options to order cheese, so you can combine each one of these 127 ways of selecting ingredients with a single, double or triple cheese in the crust.
Therefore you have 127 x 3 = 381 ways of combining your ingredients with the cheese crust.
Therefore, there are 381 different types of pizza.
Given:
$ 1.50 / gallon
1 gallon = 28 miles;
Solution:
$ 24.00 / $ 1.50 = 16 gallons
16 gallons x 28 miles = 448 miles
have a nice day:)
To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate
first is false and second is also false all ate false
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