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AUFMODMATH1 5.1A.006. 0
Evaluate the variable expression when a = 4, b = 1, and c = -2.
b2 - 3ac
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- Tuff Rubbers, a tire manufacturer, knows that 5% of the tires it produces are defective. To reduce the number of defective tires that make it to market, the manufacturer uses a special device to test each tire before shipping it out. The test will correctly detect a defective tire 97% of the time. However, the test will incorrectly indicate a good quality tire is defective 6% of the time. If the test indicates a tire is defective, the tire is recycled. Otherwise, the tire makes it to market. Let D represent the event a tire is defective, and T represent the event the test indicates a tire is defective. In each part of this question, express each probability only in terms of the events D and T and justify any computation by explicitly stating the formula you are using. (a) Express each of the three probabilities listed above in terms of the events D and T. (b) What percentage of tires are recycled? (c) What percentage of recycled tires are not defective? (d) What percentage of…AJ’s sleep pattern had been fluctuating due to stress and diet, so he started to keep a diary of how many hours he slept each night. On the 4th night after he started the diary, AJ slept 9.4 hours, which was the most sleep he got any night. Gradually, he got less sleep each successive night until, on the 18th night after he started the diary, AJ slept 6.2 hours, which was the least sleep he got any night. After keeping his diary for 6 months, he realized that the number of hours he got each night followed a sinusoidal curve. Let t be the number of nights since he started his diary, and s be how many hours he slept that night. It may be helpful to draw a crude sketch of the sleep time function and label the known t − and s − values on it. POSITIVE or NEGATIVE SIN or COS Maximum s − value = Minimum s − value = ______________ ______________ Middle s − value = ______________ = D Amplitude = ______________ = A ⇒ B = ______________ Given the crude sketch of the height function, the…A new cataracts removal procedure for persons older than 60 years of age with degrading vision from formation of cataracts has been tested with a success rate of 95%. This means that 95% of procedures result in improved vision. Without the procedure patient vision will degrade, and among the 5% whose vision is not improved, degradation will stop except 0.1% of patients undergoing the procedure whose vision will continue to degrade. Quality vision, in Pinehurst, offers this procedure to its patients. In June, 25 people are scheduled to undergo the procedure. Answer the following questions about the probabilities associated with these 25 scheduled procedures. What is the percent probability that at least 1 person will suffer degraded vision among these 25 procedures? Round to nearest hundredth. What is the percent probability that all 25 patients will have a successful procedure? Round to nearest hundredth. What is the expected number of procedures among the 25 procedures that will…
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