Answer:
Step-by-step explanation:
b:)
Given:
The two points on the graph.
To find:
The distance between the two points in simplest radical form.
Solution:
From the given graph, it is clear that the two points on the graph are (-9,3) and (-3,-2).
Distance formula:
Using the distance formula, the distance between two points (-9,3) and (-3,-2) is:
On further simplification, we get
Therefore, the distance between the given points is units.
Answer:
Traveling to where?
Step-by-step explanation:
Ignore the -4y term for now. Only focus on x^2+20x+100. This can be factored to (x+10)^2. Notice how expanding it out gives
(x+10)^2 = (x+10)(x+10)
(x+10)^2 = x(x+10) + 10(x+10)
(x+10)^2 = x^2+10x + 10x + 100
(x+10)^2 = x^2 + 20x + 100
So this means
x^2+20x-4y+100 = 0
turns into
(x+10)^2 - 4y = 0
after we factor
The second equation listed above implies that we have a parabola because we can solve for y to get
-4y = -(x+10)^2
y = (1/4)(x+10)^2
Answer:
(a) 48, 52, 54
(b) 6
(c) b, c
Step-by-step explanation:
The sample mean is the mean of the sample. The range of sample means is the difference between the largest and smallest. As with all sampling processes, more data gives a better estimate.
<h3>(a)</h3>
The sample means are calculated in the attachment. For the different samples, they are ...
- 48
- 52
- 54
<h3>(b)</h3>
The range of the sample means is the difference between the largest and the smallest:
range = 54 -48 = 6
<h3>(c)</h3>
More data is better, and the closer the estimates are to each other, the better confidence they offer. The true statements are ...
- A single sample mean will tend to be a worse estimate than the mean of the sample means.
- The closer the range of sample means is to zero, the more confident they can be in their estimate.