Shari and Ana are playing games at an arcade. Shari has $37.50 and is playing $0.50 games. Ana has $42.75 and is playing $0.75 games. Sandor wants to know when Shari and Ana will have the same amount of money remaining. So he wrote and solved this equation. Let x = number of games played. Equation: 37.50 – .5x = 42.75 – .75x Step 1: 37.50 – 1.25x = 42.75 Step 2: – 1.25x = 5.25 Step 3: – 4.2 = x Sandor knows his answer is incorrect because a negative number of games cannot be played. What was Sandor’s mistake? The variable x should represent the amount of money left. The equation should have sums on both sides. In step 1, he should have added .75x to both sides. In step 3, he should have added 1.25x to both sides.

Anull hypothesis states that the difference between 8 hours of sleep and 3 hours of sleep has no effect on the number of pictures a student will remember during a picture memory interface test (pmit). examining the mit database, an extremely small t-value of 0.1611 is found. this t-value is much smaller than the smallest t-value on the chart for p-value reference. from this information we can: select one: a. accept the null hypothesis because the p-value obtained shows that the difference between the two groups being tested is not statistically significant b. accept the null hypothesis because the p-value obtained was statistically significant c. reject the null hypothesis because of the p-value obtained d. reject the null hypothesis because the data obtained is statistically significant