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What six distinct integers whose sum is 7?

One possible set of six distinct integers whose sum is 7 is -5, -3, -1, 0, 2, and 4. Adding these integers together: -5 + -3 + -1 + 0 + 2 + 4 = 7. This combination satisfies both the requirement of being distinct and summing to 7.


What is the largest possible product for two odd integers whose sum is 30?

If they can be same 15*15 =225 if they have to be distinct 13*17 =221


The sum of 3 consecutive odd integers is less than 150. What are the largest possible values for the integers?

The largest possible values for the integers are 47, 49, and 51.


How is selecting one marble from each of 2 bags and tossing 2 coins similar?

It is not. There are only two possible outcomes for each toss of a coin whereas the number of possible outcomes when selecting a marble from a bag will depend on the numbers of distinct marbles in each bag. The coin toss generates a binomial distribution the marbles experiment is multinomial.


How many ways are there to write 18 as the sum of three distinct positive integers?

To find the number of ways to express 18 as the sum of three distinct positive integers, we can denote the integers as (a), (b), and (c) where (a < b < c). The smallest sum of three distinct positive integers is (1 + 2 + 3 = 6), which is less than 18, so valid combinations exist. By using the equation (a + b + c = 18) and considering the constraints, we can systematically find the combinations. After checking possible values, we find there are 7 distinct combinations: (1, 2, 15), (1, 3, 14), (1, 4, 13), (1, 5, 12), (1, 6, 11), (1, 7, 10), and (2, 3, 13).

Related Questions

What six distinct integers whose sum is 7?

One possible set of six distinct integers whose sum is 7 is -5, -3, -1, 0, 2, and 4. Adding these integers together: -5 + -3 + -1 + 0 + 2 + 4 = 7. This combination satisfies both the requirement of being distinct and summing to 7.


What is the largest possible product for two odd integers whose sum is 30?

If they can be same 15*15 =225 if they have to be distinct 13*17 =221


The sum of 3 consecutive odd integers is less than 150. What are the largest possible values for the integers?

The largest possible values for the integers are 47, 49, and 51.


What are the possible combinations when selecting 7 items out of 7?

When selecting 7 items out of 7, there is only 1 possible combination.


How is selecting one marble from each of 2 bags and tossing 2 coins similar?

It is not. There are only two possible outcomes for each toss of a coin whereas the number of possible outcomes when selecting a marble from a bag will depend on the numbers of distinct marbles in each bag. The coin toss generates a binomial distribution the marbles experiment is multinomial.


How many ways are there to write 18 as the sum of three distinct positive integers?

To find the number of ways to express 18 as the sum of three distinct positive integers, we can denote the integers as (a), (b), and (c) where (a < b < c). The smallest sum of three distinct positive integers is (1 + 2 + 3 = 6), which is less than 18, so valid combinations exist. By using the equation (a + b + c = 18) and considering the constraints, we can systematically find the combinations. After checking possible values, we find there are 7 distinct combinations: (1, 2, 15), (1, 3, 14), (1, 4, 13), (1, 5, 12), (1, 6, 11), (1, 7, 10), and (2, 3, 13).


9 squared belongs to what family of real numbers?

At least the following families: all integers; all positive integers; all odd integers; and all "square integers", that is, integers that are squares of other integers.


What three numbers with mean of 5 and range of 7?

If they are integers, then the possible answers are {1, 6, 8} and {2, 4, 9}.If not, there are infinitely many possible solutions.If they are integers, then the possible answers are {1, 6, 8} and {2, 4, 9}.If not, there are infinitely many possible solutions.If they are integers, then the possible answers are {1, 6, 8} and {2, 4, 9}.If not, there are infinitely many possible solutions.If they are integers, then the possible answers are {1, 6, 8} and {2, 4, 9}.If not, there are infinitely many possible solutions.


Is collection of negative integers a set?

yes and it is possible to do


The sum of five different positive integers is 500 The largest possible value for one of these integers is?

490.


Why are the With Replacement and Without Replacement probabilities different?

Because with replacement, the total number of possible outcomes - the denominator of the probability ratio - remains the same. Without replacement the number of possible outcomes becomes smaller.


What makes 300 in 2 consecutive numbers?

Not possible in consecutive integers, nearest is consecutive even integers: 148 & 152