You should use curly braces instead of parenthesis to indicate set notation. The answer is {101, 404} as these two values are in both set A and set B at the same time. The upside down U symbol means "intersection" which is where the two sets overlap. In terms of a Venn Diagram, you'll have two overlapping circles. In the overlapping region is where 101 and 404 are written. In the region of circle A that is outside of B, you'll have 202, 303, and 505. There is nothing to write in the region of B that is outside of A (since all of B is inside A)
Once again, the answer is {101, 404}
Answer:
(-2.4, 37.014)
Step-by-step explanation:
We are not told how to approach this problem.
One way would be to graph f(x) = x^5 − 10x^3 + 9x on [-3,3] and then to estimate the max and min of this function on this interval visually. A good graph done on a graphing calculator would be sufficient info for this estimation. My graph, on my TI83 calculator, shows that the relative minimum value of f(x) on this interval is between x=2 and x=3 and is approx. -37; the relative maximum value is between x= -3 and x = -2 and is approx. +37.
Thus, we choose Answer A as closest approx. values of the min and max points on [-3,3]. In Answer A, the max is at (-2.4, 37.014) and the min at (2.4, -37.014.
Optional: Another approach would be to use calculus: we'd differentiate f(x) = x^5 − 10x^3 + 9x, set the resulting derivative = to 0 and solve the resulting equation for x. There would be four x-values, which we'd call "critical values."
Answer:
2.8
Step-by-step explanation:
1) find the mean of the data set. = 15
2) find the abs value of the diff between each data value and the mean: |data value – mean|.
|10-15|=5, |20-15|=5, |15-15|=0, |17-15|=2, |13-15|=2
3) find the sum of the abs values of the diff = 14
4) divide the sum of the abs value by the number of data values = 14/5 = 2.8
It would be 750 dollars because you take 500 times .15 and get 750
C. YFC hope this helps!!!
