Answer:
There is a 50% chance of selecting an odd number.
Step-by-step explanation:
Total number of possibilities = 10.
We want to find Probability of selecting odd:
Favourable possibilities are:
1 or 3 or 5 or 7 or 9. (Total 5 possibilities).
Therefore Probability = 5 / 10 = 1/2 or 50%.
Answer: 1/2
I believe it’s 1.6 if you divide 8/5
Answer:
See attached picture.
Step-by-step explanation:
The solution set on a graph is the graph or drawing of the function. For this quadratic function, it is the U-shaped graph called a parabola. Graph the equation by finding the x-intercepts and vertex.
The function factors into (x+4)(x+5). So the x-intercepts are -4 and -5.
The vertex of the function is found using -b/2a. Here that is -9/2 = -4.5. This is the x value of the vertex. The y-value is found by substituting x = -4.5 into the function.
(-4.5)^2 + 9(-4.5) + 20
20.25 - 40.5 + 20
Graph three points at (-4,0), (-5,0) and (-4.5, -0.25).
See attached picture for the graph.
The length of the line joining the center of the circle and each coordinate is equal.
Let the center of the circle be (a, b), then
(a - 10)^2 + (b - 3)^2 = (a - 3)^2 + (b - 10)^2 = (a + 4)^2 + (b - 3)^2
a^2 - 20a + 100 + b^2 - 6b + 9 = a^2 - 6a + 9 + b^2 - 20b + 100 = a^2 + 8a + 16 + b^2 - 6b + 9
a^2 - 20a + 100 + b^2 - 6b + 9 = a^2 - 6a + 9 + b^2 - 20b + 100 . . . (1)
a^2 - 20a + 100 + b^2 - 6b + 9 = a^2 + 8a + 16 + b^2 - 6b + 9 . . . (2)
From (1): 14a - 14b = 0 => a = b
From (2): 28a = 84 => a = 84/28 = 3
Therefore, center = (a, b) = (3, 3)