Answer:
3/8 x 5/8 x 7/8=105/512.
Step-by-step explanation:
A relation is (also) a function if every input x is mapped to a unique output y.
In terms of graphical representation, this implies that a graph represents a function if there doesn't exist a vertical line that intersects the graph more than once. So:
- The first graph is exactly a vertical line, so it's not a function.
- The second graph represents the function y=x, so it's a function: you can see that every possible vertical line crosses the graph only once.
- The third graph is not a function, because you can draw vertical lines that cross the graph twice.
- Similarly, in the fourth graph you can draw vertical lines that cross the graph twice
- The fifth graph is a function, because every vertical line crosses the graph once
- The last graph is a function, although discontinuous, for the same reason.
Answer:
b
Step-by-step explanation:
because a ste and leaf plot have the value for 2
This means the slope of the line is x=7
Answer:
A. 5
Step-by-step explanation:
It says that the sample is normally distributed, which means it follows the bell curve in terms of spreading. That means that 68% of the numbers are within two standard deviations, centered on the mean, one standard deviation below, one up.
That's confirmed by the fact that 1,360 numbers (exactly 68% of 2,000) are between 40 and 50. Since the mean is 45, that gives a spread of ± 1 standard deviation for 68% of the numbers.
One standard deviation goes from 40 to 45, another from 45 to 50.
So, the standard deviation of this sample is 5.
