A10-ft ladder is leaning against a house when its base starts to slide away. by the time the base is 6 ft from the house, the base is moving away at the rate of 8 ft/sec. a. what is the rate of change of the height of the top of the ladder? b. at what rate is the area of the triangle formed by the ladder, wall, and ground changing then? a coordinate plane has a horizontal x-axis and a vertical y-axis. a thin rectangle falling from left to right labeled 10 foot ladder starts on the y-axis at y(t) and ends on the x-axis at x(t). an arrow on the y-axis below y(t) is pointing down and an arrow on the x-axis to the right of x(t) is pointing to the right. the angle created between the segment and the x-axis is labeled theta. theta x(t) y(t) 0 1

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