Answer: 529 possible outcomes
Step-by-step explanation:
You square the number of games as many times as the outcomes (win or loss)
2 outcomes = 23 * 23
23 * 23 = 529
Since there are 2 outcomes, you multiply 2 23’s together to get the number of possible ways.
Answer:
0.1 or 1/10
Step-by-step explanation:
The digits 4, 5, 6, 7 and 8 are randomly arranged to form a three digit number, where the digits are not repeated.
This is question of permutation.
Imagine this sum as; there are 3 boxes(blank spaces for digits) and 5 different fruits(digits) are to be put in these boxes, where a box can hold a maximum of only 1 fruit. The number of such permutations are: ⁵P₃
By formula (a! is factorial a):
ᵃPₙ
⁵P₃
⁵P₃
⁵P₃
⁵P₃= 60
This is the total count of possible numbers that can be formed.
Now, for a number to be greater than 800 and even; first digit should necessarily be 8. Last digit can be 4 or 6. Using these conditions, there are 6 possibilities. 854, 864, 874, 846, 856, 876 are the numbers.
The probability that number is even and greater than 800 is:
Answer:
1/3 of they tank can be filled in 20 min. and in 20 min, the pipe fills up 500 liters.
Step-by-step explanation:
So 20 minutes is 1/3 of an hour so it makes sense to say that 1/3 of the tank would be filled up in 1/3 of an hour. Next if the pipe can fill up the tank in 1 hr min then we would have to just divide it by 3 to find how much it can do in 20 min. So 1500/3 = 500 liters in 20 min. (Hope this helps)
Answer:
7x^2 -7x +3
Step-by-step explanation:
The synthetic division of the volume by the height is shown below.
(7x^3 -4x +3)/(x +1) = 7x^2 -7x +3
The area of the bottom face is 7x^2 -7x +3.
C. The two smallest sides of a triangle must be a larger sum than the third for all sides to connect.