Answer:
28
Step-by-step explanation:
The binomial coefficient is calculated as:
It means that there are nCx ways to select x elements from a group of n elements.
So, If the researcher wants to determine the probability that 6 out of the next 8 individuals in his community are in favor of the president, we can replace n by 8 and x by 6 and calculated the binomial coefficient as:
Answer:
Shawn is correct.
Step-by-step explanation:
Let the quadratic function is g(x) = a(x - h)² + k
Here (h, k) is the vertex of the parabola.
Since this parabola passes through (0, 0), (1, 9) and (-1, 9), axis of symmetry is x = 0 and the vertex is (0, 0).
Therefore, equation of the parabola will be,
g(x) = a(x - 0)²+ 0
g(x) = ax²
for a point (1, 9) which lies on the graph,
9 = a(1)²
a = 9
g(x) = 9x² (here a > 1)
Therefore, f(x) is vertically stretched by a factor of 9 to form g(x).
Shawn is correct.
Answer:
Answer would be 9y+36
Step-by-step explanation:
Because if you distribute the 9 inside the parenthesis, you'd get
9*y=9y and 9*4=36
so 9y+36
Hope my answer was helpful to you!
Answer:
The line of symmetry is x = 3
Step-by-step explanation:
To find the line of symmetry in this case, use the base formula for vertex form.
y = a(x - h) + k
In this formula, h is the line of symmetry. In this case, h is 3.
