Which line is perpendicular to the line Y= -1/3x -2 and passes through the point (1,4)

How can constraints be used to model a real-world situation?

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) =

The manager at gabriela's furniture store is trying to figure out how much to charge for a book shelf that just arrived. the book shelf was bought at a wholesale price of $ 1 4 7 . 0 0 $147.00, and gabriela's furniture store marks up all furniture by 6 0 % 60%. at what price should the manager sell the book shelf?