Solve.A basketball fieldhouse seats 15,000. Courtside seats sell for $10, endzone for $7, and balcony for $4. The total revenue from a sell-out is $84,000. If half the courtside and balcony seats and all the endzone seats are sold, the total revenue is $49,000. How many of each type are there?
A. 3200 courtside; 1800 endzone; 10,000 balcony
B. 3000 courtside; 2000 endzone; 10,000 balcony
C. 4000 courtside; 3000 endzone; 8000 balcony
D. 3000 courtside; 3000 endzone; 8,000 balcony
Answer: B
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A. cos u B. cos u (1 + cos2 v) C. cos v D. sin v
Identify the problem with the method used to obtain a random sample.Rachel is interested in the opinions of teachers in her city regarding discipline in schools. She obtains a sample of 99 teachers as follows: from each of the 9 schools in her neighborhood she selects 11 teachers by writing the names of the school's teachers on slips of paper, putting the slips in a bag, mixing them thoroughly, closing her eyes, and picking 11 slips of paper.
A. The sample will be biased because she is choosing teachers only from the 9 schools in her neighborhood. Teachers from other schools have no chance of being selected. Teachers from schools in her neighborhood will not be representative of all teachers in the city. B. The sample will be biased because the neighborhood from which to obtain the sample of teachers was not chosen at random. Rachel should write the names of the neighborhoods on slips of paper, put the slips in a bag, mix them thoroughly, close her eyes and pick a slip from the bag. She should then choose 11 teachers at random from each school in the neighborhood selected. C. The sample will be biased because when she picks slips of paper from the bag, some teachers have a greater chance of being selected than others.
Find the probability of the compound event.If two 12-sided dice are rolled what is the probability that both numbers will be even?
A.
B.
C.
D.
Solve the problem.The two largest oil spills together released 347 million gallons of oil into the oceans. The smaller of the two released 43 million gallons less than the larger of the two. How many million gallons did the larger one release?
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