Solve the problem.The number of miles per gallon of gasoline that a vehicle averages varies inversely as the average speed the car travels. A vehicle gets 27 miles per gallon at an average speed of 49 mph. How many miles per gallon will it get at an average speed of 37 mph?

A. 0.03 mi per gal
B. 0.05 mi per gal
C. 35.8 mi per gal
D. 20.4 mi per gal


Answer: C

Mathematics

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Write fraction as decimal number. Use bar notation for repeating decimals.

A. 1 B. 1.5 C. 0.8 D. 1.25

Mathematics

Assume that . ? Use these values and the properties of logarithms to find the value . ? Do not use a calculator.  Please give the answer to four decimal places.

Fill in the blank(s) with the appropriate word(s).

Mathematics

Use Bayes' rule to find the indicated probability.The incidence of a certain disease on the island of Tukow is 4%. A new test has been developed to diagnose the disease. Using this test, 91% of those who have the disease test positive while 4% of those who do not have the disease test positive (false positive). If a person tests positive, what is the probability that he or she actually has the disease?

A. 0.438 B. 0.487 C. 0.91 D. 0.856

Mathematics

Perform the indicated operation. Write the answer in proper scientific notation.(3.7 × 10-3) × (8.6 × 10-3)

A. 3.182 × 10-6 B. 3.182 × 10-7 C. 3.182 × 10-5 D. 31.82 × 10-6

Mathematics