A clock is positioned on an auditorium wall with its center 9 ft above the floor. The second hand on the clock is 10 inches long and continuously moves around the clock. Let x represent the time in seconds measured from noon on a given day. Which function f(x) represents the height above the floor, in feet, of the tip of the second hand?

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Atest of sobriety involves measuring the subject's motor skills. a sample of 31 randomly selected sober subjects take the test and produce a mean score of 64.4 with a standard deviation of 2. a claim is made that the true mean score for all sober subjects is equal to 65. for each part below, enter only a numeric value in the answer box. for example, do not type "z =" or "t =" before your answers. round each of your answers to 3 places after the decimal point. (a) calculate the value of the test statistic used in this test. test statistic's value = (b) use your calculator to find the p-value of this test. p-value = (c) use your calculator to find the critical value(s) used to test this claim at the 0.2 significance level. if there are two critical values, then list them both with a comma between them. critical value(s) =

Devaughn's age is three times sydney's age. the sum of their ages is . what is sydney's age?