Answer:
1. Median = 10.1
2. A. The median represents the center.
3. D. The mode(s) can't represent the center because it (they) is(are) not a data value.
Step-by-step explanation:
Mean of a sample = sum of the samples/no of the samples
Samples in increasing order:
9.8
9.8
9.9
10.1
10.4
10.6
11.1
Mode is the sample with highest frequency.
Median is the middle entry of the data.
Mean = (9.8 + 9.8 + 9.9 + 10.1 + 10.4 + 10.6 + 11.1)/7
= 717/7
= 10.243
Median = 10.1
Mode = 9.8 because it has the highest frequency of 2
-13 to 0 = 13 degrees changed. 0 to 22 is 22 degrees changed. 13 + 22 = 35 degree change.
10-3 = 7.
So there was a change of 35 degrees across 7 hours
35/7 = 5 degrees per hour.
Part (a)
<h3>Answer: y1 and y3 are perpendicular</h3>
This is because the two slopes 2 and -1/2 multiply to -1. Perpendicular slopes multiply to -1 assuming neither line is vertical or horizontal.
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Part (b)
Graph each line to see where they cross. The three points of intersection are
(0,4)
(2,-2)
(4,2)
The order of the points doesn't matter.
You could also form three systems of equations pairing up the equations, and solving each system. That way you can find the points of intersection. Graphing may be a better and faster route in my opinion. See the diagram below.
13xy^2-10xy-23=0
you first add the like terms and rewrite and thats how you get the answer
2(6x+11)-4x=14
12x+22-4x=14
8x=-8
x=-1
y=6(-1)+11
y=5
(-1,5)