7
To find six numbers that average out to 4, we can use the formula for calculating averages: Average = (Sum of all numbers) / (Total number of numbers). Since we have six numbers, the sum of all numbers must be 6 * 4 = 24. To evenly distribute this sum, we can choose the numbers 3, 3, 4, 4, 5, and 5. Their sum is 24, and when divided by 6, the average is indeed 4.
There are 165 of them and I do not have the patience to list them all.
8
There are two ambiguities in this question. First, the numbers 0 through 9 could mean integers or real numbers. If you meant real numbers the answer is infinite, so I presume you mean integers. More to the point, it depends on whether you are only counting combinations of 4 different numbers or allowing duplications (like 4, 4, 5, 5).
There are 12 different combinations of 3 positive odd numbers that add up to 21. Namely: (There are many permutations of these combinations.) 1,1,9 1,3,17 1,5,15 1,7,13 1,9,11 3,3,15 3,5,13 3,7,11 3,9,9 5,5,11 5,7,9 7,7,7
7
3*5=15 5*3=15 15*1=15
To find six numbers that average out to 4, we can use the formula for calculating averages: Average = (Sum of all numbers) / (Total number of numbers). Since we have six numbers, the sum of all numbers must be 6 * 4 = 24. To evenly distribute this sum, we can choose the numbers 3, 3, 4, 4, 5, and 5. Their sum is 24, and when divided by 6, the average is indeed 4.
There are 165 of them and I do not have the patience to list them all.
8
There are two ambiguities in this question. First, the numbers 0 through 9 could mean integers or real numbers. If you meant real numbers the answer is infinite, so I presume you mean integers. More to the point, it depends on whether you are only counting combinations of 4 different numbers or allowing duplications (like 4, 4, 5, 5).
If you have 12 possible numbers with multiple combinations then you should start out with making all the possible combinations; you will find theyre 20. Theyre four numbers out of the twleve that can be divisible by three; 3, 6, 9, and 12. There are 7 combinations where the combinations can equal those four numbers. So the odds of getting a sum divisible by three is 7/20.
In order to find three different prime numbers that sum up to 40, we need to identify the possible combinations. The only prime number that is even is 2, so one of the prime numbers must be 2. The other two prime numbers that add up to 38 can be 19 and 17. Therefore, the sum of the three different prime numbers that add up to 40 is 2 + 19 + 17 = 38.
6
To find the even two-digit numbers where the sum of the digits is 5, we need to consider the possible combinations of digits. The digits that sum up to 5 are (1,4) and (2,3). For the numbers to be even, the units digit must be 4, so the possible numbers are 14 and 34. Therefore, there are 2 even two-digit numbers where the sum of the digits is 5.
7 meadowood