Will someone please check my answers?
1)Ping is deciding what to choose for dinner from a menu. He can choose 1 of 4 pasta meals, 1 of 6 chicken meals, or 1 of 3 fish meals. How many ways can Ping choose a dinner meal?
a)13<----
b)18
c)27
d)72
2) How many permutations are there for the letters in the word REARRANGED?
a)907,200
b)604,800
c)302,500
d)151,200<----
3) Lisa can choose 3 of her 10 friends to come with her family on a camping trip. How many ways can she choose the friends that come with her?
a)30
b)120<----
c)720
d)5040
4)Lidia is packing her suitcase in the dark, so as to not wake her little sister. She blindly chooses 2 of her 6 sweaters. What is the probability that she chooses her 2 favorite sweaters?
a)1/12
b)1/15
c)1/30<----
d)1/36
5) What is the probability of spining a 3 on the spinner. The spinner has the numbers 3,2,1,2,1,3,2,1 starting clockwise.
a)1/4
b)1/3
c)3/8<----
d)3/5
Number 4 is 1/15 and number 5 is 1/4. I had them chcked by my older sister. She's very smrt in math.
kjh;
Useless
Sure, I can help you check your answers!
1) To find the number of ways Ping can choose a dinner meal, we need to multiply the number of choices for each category. So, the number of ways is calculated as follows:
Number of pasta meals * Number of chicken meals * Number of fish meals = 4 * 6 * 3 = 72
Therefore, the correct answer is d) 72.
2) To find the number of permutations for the letters in the word "REARRANGED", we need to calculate the factorial of the total number of letters. The formula for factorial is n! = n * (n-1) * (n-2) * ... * 1.
In this case, the word "REARRANGED" has a total of 10 letters. So, the number of permutations is calculated as 10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 3,628,800.
Therefore, the correct answer is not listed. None of the provided options are correct.
3) To find the number of ways Lisa can choose 3 friends out of her 10, we need to calculate the number of combinations. The formula for combinations is nCr = n! / ((n-r)! * r!).
In this case, Lisa needs to choose 3 out of her 10 friends. So, the number of combinations is calculated as 10! / ((10-3)! * 3!) = 10! / (7! * 3!) = (10 * 9 * 8) / (3 * 2 * 1) = 120.
Therefore, the correct answer is b) 120.
4) The probability of choosing Lidia's 2 favorite sweaters out of 6 blindly can be calculated by finding the ratio of the number of favorable outcomes to the total number of possible outcomes.
The number of favorable outcomes is selecting 2 sweaters out of her 6 favorites, which can be calculated as 6C2 = 6! / ((6-2)! * 2!) = 15.
The total number of possible outcomes is selecting 2 sweaters out of her total 6 sweaters, which can be calculated as 6C2 = 6! / ((6-2)! * 2!) = 15.
Therefore, the probability is 15/15 = 1.
Therefore, none of the provided options are correct. The probability is 1.
5) The probability of spinning a 3 on the spinner can be found by dividing the number of favorable outcomes (spinning a 3) by the total number of possible outcomes (total numbers on the spinner).
The number of favorable outcomes is 2 (since there are two 3s on the spinner).
The total number of possible outcomes is 8 (since there are 8 numbers on the spinner).
Therefore, the probability is 2/8 = 1/4.
Therefore, the correct answer is a) 1/4.
I hope this helps! Let me know if you have any other questions.