Answer:
Step-by-step explanation:
There are 3 possibilities for the graph as shown in the figure.
(a) having zero intersection
(b) having one intersection point (touching point)
(c) having two intersection points.
So, the greatest possible number of intersections for these graphs is 2 as shown in figure (c).
Answer:
98% probability that at least one of Harold and Maude will make it to the cruise
Step-by-step explanation:
Independent probabilities:
When two events are independent, the probability of the two events happening simultaneously is the multiplication of each probability.
Probability that none makes it to the cruise:
Harold's flight has an 80% chance of making it, so 100 - 80 = 20% probability of missing.
Maude's flight has a 90% chance of making it on time, so 100 - 90 = 10% probability of missing.
Both missing: 0.2*0.1 = 0.02.
2% probability of both missing.
Probability that at least one makes it to the cruise:
Either both miss, or at least one makes it. The sum of the probabilities of these events is 100%. So
2 + p = 100
p = 98%
98% probability that at least one of Harold and Maude will make it to the cruise
Answer: x = 42
Step-by-step explanation:
Answer: (D)
Step-by-step explanation:
Let 8/9=x/12
9*x=12*8
9x=96
x=10.7
I graphed the given points and used Pythagorean theorem to get the value of each side of the rhombus.
Each side of the rhombus served as the hypotenuse of the imaginary right triangle formed in the graph. The diagonals formed are mutually bisecting and have cut each diagonal in equal parts.
Pls. see attached graph.