Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the
ropes are tied to points A and B on a flagpole, as shown below:
Angle ADC measures 60', and angle BDC measures 30°. What is the distance between the points A and B on the flagpole?

40 feet

20 feet

30 feet

10 feet

Which of the following is a function? a.) {(-2, -4/5), (-1,-,,-1)} b.) {(-2,,1/,3/,1)} c.) {(-22)} d.) {(-21)}

Simplify (1/2)4th power a. (1/16) b.(1/8) c.(1/4)

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) =