Find the average rate of change on the interval x=0 to x= 3

Arectangle has an area of 54 square feet. if the length is 3 feet more than the width, find the dimensions of the rectangle.

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) =

Question 10 multiple choice worth 1 points) (09.06) based on the graph below, what is the total number of solutions to the equation f) = ? 10.5 + 13,75 + 11 + 25 + 2.75 -6 -5 4 3 2- -2.75 g(x) 65 -8.25 - 13.75 - one otwo three four