A company distributes its product by train and truck. The cost of distributing by train can be modeled as -0.09x^2 + 34x - 100. and the cost of distributing by trucks can be modeled as -0.04x^2 + 22x - 175, where x is the number of tons of product distributed. write a polynomial that represents the difference between the cost of distributing by train and the cost of distributing by trucks

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) =