Use identities to find the exact value of the function for the given value.sec ? =  and ? is in quadrant I; Find tan ?.

A.
B.
C. - 
D.


Answer: A

Mathematics

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Solve.10,500 college students were asked to name their favorite sport. Of this group,  said basketball,  said soccer,  said baseball,   said they had no favorite sport, and the remainder said volleyball. How many named each sport? 

A. Basketball: 3,500 Soccer: 2,100 Baseball: 1,800 Volleyball: 2,575 None: 525 B. Basketball: 3,500 Soccer: 2,100 Baseball: 1,750 Volleyball: 2,635 None: 515 C. Basketball: 3,500 Soccer: 2,100 Baseball: 1,750 Volleyball: 2,625 None: 525 D. Basketball: 3,500 Soccer: 2,050 Baseball: 1,750 Volleyball: 2,675 None: 525

Mathematics

How many planes pass through three distinct points not on the same line?

What will be an ideal response?

Mathematics

Solve the unit problem using the conversion information. Use either a proportion or unit analysis. Round to the nearest hundredth.

Useful facts: 1 square mile = 640 acres 1 mile = 5280 feet How many square miles are in 20,000 acres? A) 790.57 B) 31.25 C) 30.05 D) 34.55 E) 20.48

Mathematics

Solve the problem.Suppose that 5% of all adults over 40 have diabetes. A certain physician correctly diagnoses 90% of all adults over 40 with diabetes as having the disease and incorrectly diagnoses 3% of all adults over 40 without diabetes as having the disease.(a) Draw a tree diagram and label it with appropriate probabilities.(b) Find the probability that a randomly-selected adult over 40 does not have diabetes but is diagnosed as having diabetes.(c) Find the probability that a randomly-selected adult over 40 is diagnosed as not having diabetes.(d) Find the probability that a randomly-selected adult over 40 actually has diabetes, given that he/she is diagnosed as not having diabetes.

What will be an ideal response?

Mathematics