Na school of 1250 students, 250 are freshmen and 150 students take spanish. the probability that a student takes spanish given that he/she is a freshman is 30%. what is the probability that a randomly selected student is a freshman given that he/she takes spanish?

Multiply −2x(6x^4−7x^2+x−5) express the answer in standard form. enter your answer in the box.

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.

Astudent drew a circle and two secant segment. he concluded that if pq ~= ps, then qr ~= st. do you agree with the student’s conclusion? why or why not?