Quinn is hanging a framed picture that is 10 inches wide and 6 inches tall on a wall that is 8 feet 7 inches wide and 7 feet 4 inches tall. When the picture is exactly centered on the wall, the left edge of the picture frame is I feet y inches from the left edge of the
wall. What is the value of y, if y < 12 ? Express your answer as a mixed number.

Lines f and g are cut by the transversal d. the measure of 1 = 2x + 35 and the measure of 8 = 10x - 85. what value of x will show that lines f and g are parallel? a. 19 b. 26 c. 18 d. 15

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) =

Skie rented a boat for $16.50 per hour. her total rental fee was $49.50. for how many hours did skie rent the boat