do you mean numbers 5 6 7 8 9 10
Answer:
B
Step-by-step explanation:
The answer is B (OB. Fifty people are put into a control group and nfty people are put into a test group. The control group is given a placebo and the
test group is given a new medication. Each group is asked about the side effects.) because an experiment requires a control group and a test group chosen at random.
Range
The range measures the spread of the dataset by calculating the difference between the largest and the smallest element. In your case, marks range from 6 to 10, so the range is 10-6=4.
How many students
The frequency tells you how many students got each mark. So, we know that 5 students got a mark of 6, 4 students got a mark of 7, 7 students got a mark of 8, 10 students got a mark of 9, 4 students got a mark of 10.
This implies that, in total, we have
students.
Mean
The mean is given by the sum of the marks, divided by the number of students. We already observed how many students got each mark, so the sum of all marks will be a weighted sum, where each mark counts once per student:
Now we divide this sum by the number of students to get
So, the average mark is about 8.
Answer:
(-1, 2) — derivative is zero
Step-by-step explanation:
A critical point of a function is a point at which the slope is <em>zero</em> or <em>undefined</em>. (The critical point must actually be in the domain of the function. Vertical asymptotes are <em>not</em> critical points.)
You find the answer by looking for points on the graph where a tangent to the function is horizontal or vertical.
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In the given graph, the curve approaches horizontal near the point (-1, 2), so it is reasonable to estimate that that point is a critical point.
The attached graph also shows the inverse function. That has a critical point at (2, -1), where the slope is undefined (a tangent to the graph is vertical).
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The graph of a circle or ellipse does not pass the vertical line test, so is not a function. However, the graph still has critical points where the tangents are vertical or horizontal. The second attachment shows those critical points.