Find total number of solutions of [x]^2= x + 2 {x}, where (.) and {.} denotes the greatest integer function and fractional part.

Amath club has 40 members. the number of girls y is 6 less than the number of boys. how many members are boys x? how many members are girls y?

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The weights of soy patties sold by a diner are normally distributed. a random sample of 15 patties yields a mean weight of 3.8 ounces with a sample standard deviation of 0.5 ounces. at the 0.05 level of significance, perform a hypothesis test to see if the true mean weight is < 4 ounces. what is the correct conclusion at the 0.05 level of significance?