A random sample of the students at two high schools were asked whether they were satisfied or unsatisfied with their school's variety of extracurricular activities. The results are summarized in the table.
Satisfied Unsatisfied Total
37
23
60
High School A
High School B
Total
42
18
60
79
41
120
What is the approximate probability that a randomly selected student is satisfied with his or her school's variety of extracurricular activities?
O A. 0.308
OB 0.468
O c. 0.617
OD 0.658
O E 0.790

The fraction of defective integrated circuits produced in a photolithography process is being studied. a random sample of 300 circuits is tested, revealing 17 defectives. (a) calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool. round the answers to 4 decimal places. less-than-or-equal-to p less-than-or-equal-to (b) calculate a 95% upper confidence bound on the fraction of defective circuits. round the answer to 4 decimal places. p less-than-or-equal-to

Evaluate the discriminant of each equation. tell how many solutions each equation has and whether the solutions are real or imaginary. x^2 + 4x + 5 = 0

Which statement explains how you could use coordinate geometry to prove the opposite sides of a quadrilateral are congruent? a. use the slope formula to prove the slopes of the opposite sides are the same. b. use the slope formula to prove the slopes of the opposite sides are opposite reciprocals. c. use the distance formula to prove the lengths of the opposite sides are the same. d. use the distance formula to prove the midpoints of the opposite sides are the same.