Suppose you're flying a kite, and it gets caught at the top of the tree. you've let out all 100 feet of string for the kite, and the angle that the string makes with the ground is 75 degrees. instead of worrying about how to get your kite back, you wonder. how tall is that tree?

What is the slope of the line (-7,2) (4,6)

Write the equations in logarithmic form 9^4=6,561

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) =