One of the many wonderful things about studying statistics is that graduate programs in statistics often pay their graduate students, which means that many graduate students in statistics are able to attend graduate school tuition free with an assistantship or fellowship. In 2009, there were US statistics or biostatistics doctoral programs for which enrollment data were available.1 The dataset StatisticsPhD lists all these schools together with the total enrollment of full-time graduate students in each program in 2009.

Required:
a. Use StatKey or other technology to select a random sample of 10 of the 82 enrollment values. Indicate which values you've selected and compute the sample mean.
b. Repeat part (a) by taking a second sample and calculating the mean.
c. Find the mean enrollment for the entire population of these 82 graduate programs. Use correct notation for your answer. Comment on the accuracy of using the sample means found in parts (a) and (b) to estimate the population mean.
d. Use Statkey or other technology to generate a sampling distribution. Generate 5000 sample proportions. Give the shape and center of the sampling distribution and give the standard error
e. What does each dot on the sampling distribution generated in part (d) represent? (f) Findthe interval that contains approximately 95% of all sample means using the standard error and the center from part d.

the range of a function is the range of y-values for which it is defined, or exists. given that we are only looking at the y-values, we can already discount the first two answers as they deal with the domain of the function (range of x-values).

now, what we need to do is find the smallest and highest y-values for which the function is defined. if you'd like, you could take a ruler and start at the very bottom of the graph, find the lowest point, then move the ruler higher and higher until you reach the highest point. doing so either in your head or with an actual ruler, we can see that the lowest y-value is -5 and the highest y-value is -1.

the question now remains as to whether they are included in the range (fourth answer) or excluded (third answer). the key here is to recognise whether they are marked with an open or a closed circle. since both (-2, -5) and (2, -1) are marked with a closed circle, they are points that exist on the graph and are thus included in the range (note that if they were marked with an open circle like (4, -2) then that would signify that there is a break in the graph at that point).

thus, the fourth answer, (y | -5 ≤ y ≤ -1), is correct.

also note that usually it is good practice to scan your eye inbetween the highest and lowest point for any breaks in the graph - we do have one here at (4, -2), however -2 is still included in the range because there is another point that is included in the graph with the same y-value, ie. point (1, -2).

i hope that but if you require any further explanation don't hesitate to comment below.

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.

step-by-step explanation:

ask goog great chance of finding the solution there

e

step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)