Based on the ratio of boys/girls We can infer that the only possibility for Ellen's math class would be answer B. 14/21
Answer:
w = 
Step-by-step explanation:
The answer is that s = 55/42.
Here's how to solve it
Answer:
q = -8, k = 2.
r = -6.
Step-by-step explanation:
f(x) = (x - p)^2 + q
This is the vertex form of a quadratic where the vertex is at the point (p, q).
Now the x intercepts are at -6 and 2 and the curve is symmetrical about the line x = p.
The value of p is the midpoint of -6 and 2 which is (-6+2) / 2 = -2.
So we have:
f(x) = 1/2(x - -2)^2 + q
f(x) = 1/2(x + 2)^2 + q
Now the graph passes through the point (2, 0) , where it intersects the x axis, therefore, substituting x = 2 and f(x) = 0:
0 = 1/2(2 + 2)^2 + q
0 = 1/2*16 + q
0 = 8 + q
q = -8.
Now convert this to standard form to find k:
f(x) = 1/2(x + 2)^2 - 8
f(x) = 1/2(x^2 + 4x + 4) - 8
f(x) = 1/2x^2 + 2x + 2 - 8
f(x) = 1/2x^2 + 2x - 6
So k = 2.
The r is the y coordinate when x = 0.
so r = 1/2(0+2)^2 - 8
= -6.
The answer for the 1st bag is option B = 1/3
The answer for the 2nd bag is option C = 5/9
Number of marbles in 1st bag - 15 (6 red, 4 blue & 5 green)
Number of marbles in 2nd bag - 9 (3 red, 1 blue & 5 green)
The formula of probability = Total number of events in the outcome /total number of outcomes.
Now the probability that Aakesh will select a green marble from the 1st bag is 5(green marbles)/15(total number of marbles in 1st bag)
That is 5/15=1/3
Now the probability that Aakesh will select a green marble from the 2nd bag is 5(green marbles)/9(total number of marbles in 1st bag)
That is 5/9
To know more about probability go to - https://brainly.in/question/17157610?msp_poc_exp=6
