9514 1404 393
Answer:
see below for the graph
Step-by-step explanation:
We can specify the location of the minimum and the axis of symmetry using the vertex form of the quadratic equation:
y = a(x -h)² +k . . . . . . . vertex (h, k); scale factor 'a'
We can put the given values into the equation to see what 'a' needs to be to make the function have the desired y-intercept.
-3 = a(0 -(-2))² +(-5)
2 = 4a . . . . add 5 and simplify
a = 1/2 . . . . divide by 4
The equation for the desired function can be ...
y = 1/2(x +2)² -5
Answer:
599/711
Step-by-step explanation:
Band Sports Debate Total
Male 105 320 7 432
Female 105 160 14 279
Total 210 480 21 711
P(female or plays sports)
We want the probability that they are female or play sports, but we cannot double count the female sports players, so we subtract them
P(female) + P (sports) - (female and sports)
female/total + sports/total - female sports/ total
279/711 + 480/711 - 160/711
599/711
P(<100) = P((new or change) & <100) = P(new & <100) + P(change & <100)
... = P(<100 | new)*P(new) + P(<100 | change)*P(change)
... = 0.90*0.70 + 0.20*0.30
... = 0.63 + 0.06 = 0.69 . . . . probability of completing a transaction in < 100 ms
The answer is in the picture
