Jorge and mary are both filling cups with fruit punch in preparation for a party. after 3 minutes, jorge had 53 cups left to be filled, and after 5 minutes, he had 25 cups left to be filled. mary’s progress is shown in the table of values below. assuming that both jorge and mary are filling cups at a constant rate, which statement is correct? mary’s cup-filling progress time (minutes) 0.5 1 1.5 2 2.5 cups remaining 99 81 63 45 27 jorge is filling 14 cups per minute, which is faster than mary. jorge is filling 28 cups per minute, which is faster than mary. mary is filling 18 cups per minute, which is faster than jorge. mary is filling 36 cups per minute, which is faster than jorge.

Svetlana's hair is 4 4 centimeters ( cm cm) long. her hair grows 1 . 5 cm 1.5cm per month. svetlana wants her hair to be less than 1 6 cm 16cm long. write an inequality to determine the number of months, m m, svetlana can allow her hair to grow so that it is less than 1 6 cm 16cm long.

The value of x in this system of equations is 1. 3x + y = 9 y = –4x + 10 substitute the value of y in the first equation: combine like terms: apply the subtraction property of equality: apply the division property of equality: 3x + (–4x + 10) = 9 –x + 10 = 9 –x = –1 x = 1 what is the value of y?

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) =