Geri jogs every fourth day. Sarah jogs along the same path every fifth day. Both girls jog on the path on July 7. What is the next date they will both jog on the path

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) =

15 points only answer if 100% sure when graphed, the x-intercept of a linear function is (-4,0), and the y-intercept is (0,12). which of the following equations represents the function? a. y + 12 = 5(x − 4) b. y − 4 = 4(x + 2) c. y − 6 = 3(x + 2) d. y + 6 = 2(x + 7)

Polygon abcde and polygon fghij are similar. the area of polygon abcde is 20. what is the area of fghij?