digits from 0 to 9. Digits cannot be
repeated. Find the probability that
randomly generated card has the
exact number 94213.
Answer:
Step-by-step explanation:
Given
ID Card of 5 digits
Possibly Digits = {0,1...,9}
Required
Probability that a card has exact number 94213
First, we have o determine the total possible number of ID card numbers
Let the card number be represented by ABCDE
Given that repetition of digits is not allowed;
A can be any of 10 digits
B can any of the remaining 9 digits
C can be any of the remaining 8 digits
D can be any of the remaining 7 digits
E can be any of the remaining 6 digits
Total number of cards = 10 * 9 *8 * 7 * 6
Total = 30240
Provided that the card number is generated at random; each card number has the same probability of
Hence, the probability of having 94213 is
Answer: After washing 20 cars together, each team will have raised the same amount in total.
Step-by-step explanation:
Let x represent the number of cars that each each teams will wash for them to raise the same amount in total.
The volleyball team gets $4 per car. In addition, they have already brought in $24 from past fundraisers. This means that the total amount raised by the volleyball team after washing x cars would be
4x + 24
The wrestling team has raised $84 in the past, and they are making $1 per car today. This means that the total amount raised by the wrestling team after washing x cars would be
x + 84
For both amounts to be equal, the number of cars would be
4x + 24 = x + 84
4x - x = 84 - 24
3x = 60
x = 60/3
x = 20
B. -x^2 + 3x + 8
C. x^2 - 3x + 8
D. x^2 + 3x + 8