Mariah spent $9.50 on 9 pounds of limes and pears. limes cost $0.50 per pound and pears cost $1.50 per pound. let l be the number of pounds of limes and let p be the number of pounds of pears. the system of linear equations that models this scenario is: l + p = 9 0.5l + 1.5p = 9.5 how many pounds of each type of fruit did she buy? she bought pounds of limes and pounds of pears.

Thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 127 millimeters, and a variance of 36. if a random sample of 35 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 0.5 millimeters? round your answer to four decimal places.

If the discriminant if a quadratic equation is 4 which statement describes the roots?

Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.