The equation of a circle is (X+12)^2+(y+16)^2=r^2, and the circle passes through the origin. The equation of the circle then changes to ( x-30)^2+(y-16)^2=(r2)^2 and the circle still passes through the origin. What are the values of r1 and r2? Answers: r1 = 10 and r2 = 17 r1 = 10 and r2 = 34 r1 = 20 and r2 = 17 r1 = 20 and r2 = 34

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) =