Answer:
35,38,41,44,47,50,....
Step-by-step explanation:
n ∈N means that n is an element of Natural numbers
Natural numbers are whole non-negative numbers
n ≥ 1, means that n = 1, 2, 3, 4, 5, 6,........
tn = 32 + 3n
the first term t1 = 32 + 3(1)
32 + 3 = 35
the second term t2 = 32 + 3(2)
32 + 6 = 38
the third term t3 = 32 + 3(3)
32 + 9 = 41
Answer:
(D)
Step-by-step explanation:
The box plot is a visual representation of the 5-number summary of the data. It shows the extremes, the quartiles and the median.
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Each data set has 11 elements, sorted into increasing order.
<h3>extremes</h3>
The first and last elements of the data set correspond to the ends of the whiskers, so you are looking for a set that ranges from 3 to 18. (This eliminates choice B.)
<h3>median</h3>
The median will be the middle element, the 6th from either end. The vertical line in the box identifies its value as 10. (This eliminates choice A.)
<h3>quartiles</h3>
The first quartile is the middle element of the bottom half of the data set (what remains after the median and above elements are removed). There are 5 elements in the bottom half, so the first quartile is the 3rd one. It is signified by the left end of the box in the box plot. Its value is 7. (This eliminates choice C.)
Similarly, the third quartile is the 3rd element from the right end of the data set. The value 13 in choice D matches the right end of the box in the box plot.
The box plot represents the data set in Choice D.
<h3>
Answer: Choice D</h3>
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Explanation:
The inequality sign has an "or equal to", which means the boundary line will be solid. We can rule out choices B and C because they have dashed boundary lines.
A solid boundary line means that points on the boundary are part of the solution set.
Now let's see what happens when we plug in a point like (x,y) = (4,0). This will tell us how to shade the blue region.
This is false because -20 is not larger than -1. It's the other way around.
This tells us the point (4,0) is not in the blue shaded region, and it's not on the boundary line either. We can rule out choice A because of this.
The only thing left is choice D, which is the final answer. I recommend plugging a point from this region into the inequality to confirm we have a true statement.
