Some people think using magnets can reduce back pain. Two groups of people suffering from back pain are given treatments to test this theory, one group is treated with magnets and the other group is treated with nonmagnetic pieces of metal. Reduction in pain is measured with a scale from 0 to 1, where the larger the number, the larger the pain reductions. Below is a summary of the results: Magnets Nonmagnetic Sample Size 20 20 Sample Mean 4.7 4.4 Sample Standard Deviation s 1.2 1.4 a. Find a 90% confidence interval for the differences in the mean pain reduction.
b. Is there evidence that Magnets help reduce back pain?

An airplane consumes fuel at a constant rate while flying through clear skies, and it consumes fuel at a rate of 64 gallons per minute while flying through rain clouds. let c represent the number of minutes the plane can fly through clear skies and r represent the number of minutes the plane can fly through rain clouds without consuming all of its fuel. 56c+64r < 900056c+64r< 9000 according to the inequality, at what rate does the airplane consume fuel while flying through clear skies, and how much fuel does it have before takeoff? the airplane consumes fuel at a rate of gallons per minute while flying through clear skies, and it has gallons of fuel before takeoff. does the airplane have enough fuel to fly for 60 minutes through clear skies and 90 minutes through rain clouds?

The trigonometric ratios sine and secant are reciprocals of each other

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