Assume that the two points P(1,5) and Q(-2,3) are given. What is the slope of the line perpendicular to the line through P and Q?


Mathematics

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Determine whether the following is always true or not always true. Given reasons for your answers.u × v = -(v × u)

What will be an ideal response?

Mathematics

Use Bayes' rule to find the indicated probability.Two shipments of components were received by a factory and stored in two separate bins. Shipment I has 2% of its contents defective, while shipment II has 5% of its contents defective. If it is equally likely an employee will go to either bin and select a component randomly, what is the probability that a defective component came from shipment II?

A. 0.714 B. 0.222 C. 0.5 D. 0.2

Mathematics

Graph the hyperbola. -  = 1

A.

B.

C.

D.

Mathematics

Compute the compound interest.How long will it take for $9200 to grow to $30,300 at an interest rate of 8.9% if the interest is compounded quarterly? Round the number of years to the nearest hundredth.

A. 13.98 yr B. 13.54 yr C. 54.16 yr D. 37.42 yr

Mathematics