The product of grandmother and grandson ages is 945 find their ages respectively

If their products = 946 you must find 2 numbers that it would be reasonable for a grandson and grandmother to be. First of all find all the prime factors of 945.

945: 5 * 3 * 3 * 3 * 7

Now you have no other information that we could use to find the ages of grandson and grandmother except common sense. There is no clue how to divide 3 * 3 * 3 * 5 * 7. Such a result is called a Diophantine condition. For example, you could use 3*3*3* 5*7 which would give 27 * 35. It's possible, but it is not reasonable. 27 years ago, just as the grandson is being born, his grandmother would be 8 years old. There must be something more reasonable.

Remember that all primes have to be used.

How about we try 3*5 and 3*3*7. That would make the grandson 15 and his grandmother 63. She would be 48 when he was born. Isn't that much much more reasonable? So common sense (and Diophantine) would pick this as an answer. If you find something you like better, use it. After all, who can argue with you?

A study was conducted to determine if consumers are more likely to choose a vice product (e.g., a candy bar) when their arm is flexed (as when carrying a shopping basket) than when their arm is extended(as when pushing a shopping cart). The study measured choice scores (on a scale of 0 to 100, where higher scores indicate a greater preference for vice options) for consumer shopping under each of the two conditions. The average choice score for consumers with a flexed arm was 60, while the average for consumers with an extended arm was 43. For both conditions, assume that the standard deviation of the choice scores is 6. Also assume that both distributions are approximately normally distributed. Complete part a. a. In the flexed arm condition, what is the probability that a consumer has a choice score of 56 or greater? what is the probability that a consumer in the extended arm condition has a choice score of 56 or greater?