Answer:
Step-by-step explanation:
From the table you can see that
- 45 customers own cat and dog;
- 78 own only cat, then 78+45=123 customers own cat;
- 125 own only dog, then 125+45=170 customers own dog;
- 52 own neither cat, nor dog;
- 78+45+125+52=300 customers in total;
- 300-123=177 customers do not own cat;
- 300-170=130 customers do not own dog.
Two-way table is
Answer:
Step-by-step explanation:
Let's write this out as an equation. Let the unknown quantity be x:
Total Numbers = 5
Mean (Average) = 85.2
Standard deviation = 10.70981
Variance(Standard deviation) = 114.7
Population Standard deviation = 9.57914
Variance(Population Standard deviation) = 91.76
Answer:
Step-by-step explanation:
Since G(0) = g(0) = 20, the parabolic graphs of these functions share a y-intercept: (0, 20).
Completing the square puts these equations into vertex form, which simplifies comparisons of the graphs:
G(x) = 2x^2 - 12x + 20 becomes
2(x^2 - 6x + 9 - 9) + 20, or
2(x - 3)^2 - 18 + 20, or 2(x - 3)^2 + 2. Comparing this result to
a(x - h)^2 + k, we see that the vertex is located at (3, 2).
Going through the same process for g(x) 2x^2+12x+20, we get:
g(x) = 2(x + 3)^2 + 2, whose vertex is at (-3, 2).
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