Jim needs to spend less than $450 a month on groceries and shopping. He has already spent $215 this month. What are all possible amounts of money Jim could spend the next time that he buys groceries or goes shopping this month? Create an inequality and a graph that represents this scenario

Me, the vertices of quadrilateral coat are c(2,0), o(7,0), a(7,2) and t(2,2). prove that coat is a rectangle.

Deena is planting two rectangular gardens. one garden is 3.67 feet by 8.56 feet, and the other garden is 3.67 feet by 7.45 feet. which expression does not respresent the total area in square feet of the two gardens

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) =