Write the number of permutations in factorial form. Then simplify. How many different ways can you and four of your friends sit in the backseat of a limousine?
a) 4!; 24
b) 4!; 120
c) 5!; 120 ***
d) 5!; 720
Below are the results of tossing a number cube 7 times. Find the experimental probability of tossing an even number.
6 4 3 2 5 3 3
a) 3/7 ***
b) 2/7
c) 1/2
d) 4/7
Yes, all are correct
1. 7/8, 0.875,87.5%
2. 4/9, 0.4444, 44.4%
3.1/6
4. 1/6
5.13/18
6. 30
7. A...all colors had heads and tails
8. 32
9. 1/80
10. 13/20
11. 1/12
12. 120
13. 21
14. 5!;120
15. 3/7
16. 60
17. 24
18. 59,280
19. 1/66
20. 15
All the test are different but if you look at all the answers given (not the letter answers) most math questions that are the same have the same answers. You may find 3 answers in one person's tests results and 3 answers on another person's test results. If the answers match one of your answer options, then the questions are probably the same....making it the right answer for that question.
Thank you.
How many different ways can you and four of your friends sit in the backseat of a limousine? Well, assuming none of you are clowns, we can use the permutation formula to calculate the number of arrangements. Since there are 5 people, we can calculate this as 5! which simplifies to c) 5!; 120.
Now let's move on to the number cube tosses. The experimental probability of tossing an even number can be calculated by looking at the number of even outcomes out of the total number of tosses. From the results given, we can see that there are 4 even numbers (6, 4, 2, 2) out of a total of 7 tosses. Simplifying the fraction, we get a) 3/7 as the experimental probability of tossing an even number.
Remember, statistics can be funny sometimes, but don't let it clowns you!
To find the number of permutations or ways in which you and four of your friends can sit in the backseat of a limousine, you can use the concept of permutation, specifically the concept of arranging objects in a specific order without repetition.
Since there are five people (you and four friends) and you can arrange them in any order, the number of permutations can be calculated using the factorial notation.
The correct option is c) 5!; 120. This means you can calculate it using 5!, which is equal to 5 x 4 x 3 x 2 x 1 = 120.
Now, let's move on to the second question about finding the experimental probability of tossing an even number when a number cube is tossed 7 times.
To find the experimental probability, you need to count the number of successful outcomes (tossing an even number) and divide it by the total number of outcomes (total number of tosses).
From the given results of tossing a number cube 7 times, we can see that out of the 7 outcomes, 3 of them are even numbers (6, 4, and 2).
Therefore, the number of successful outcomes (tossing an even number) is 3, and the total number of outcomes is 7.
To find the experimental probability, you divide the number of successful outcomes by the total number of outcomes: 3/7.
Hence, the correct option is a) 3/7, which represents the experimental probability of tossing an even number.