Answer:
Thus the required Pythagorean triplet is 14,48,50. ∴ The required Pythagorean triplet is 16,63,65.
Step-by-step explanation:
Answer: 15 cases
Step-by-step explanation:
1 gallon = 4 quarts
Hence from 30 gallon oil drum, 30 x 4 = 120 quart-size bottles can be filled.
One case will pack 8 quart size bottles.
Hence number of cases = 120/8 = 15 cases
Step-by-step explanation:
the solution is in the picture
Answer:
1.) There are 16 juniors and 8 seniors in the Chess Club. If the club members decide to send 9 juniors to a tournament, how many different possibilities are there?
(16 over 9) = 16!/(9!*7!) = 11440
2.) How many different ways can 3 cards be drawn from a deck of 52 cards without replacement?
52*51*50 = 132600
3.) How many different ways can 3 cards be drawn from a deck of 52 cards with replacement?
52^3 = 140608
4.) A corporation has 5 officers to choose from which 3 are selected to comprise the board of directors. How many combinations are there?
(5 over 3) = 5!/(3! * 2!) = 10
5.) A combination lock has the numbers 1 to 40 on each of three consecutive tumblers. What is the probability of opening the lock in ten tries?
10/40^3 = 1/6400
Answer: 18 1/5 + 22 2/5 + 40 1/5
Step-by-step explanation:
To get equivalent expression we need to remove the parenthesis multiply negative sign inside the parenthesis when we multiply negative and negative it becomes positive. So the expression becomes 18 1/5 + 22 2/5 + 40 1/5
