Answer: D) 10 sin (πx) - 5
<u>Step-by-step explanation:</u>
The range (maximum - minimum) is 5 - (-15) = 20
The amplitude (A) is range (20) ÷ 2 = 10
The vertical shift (D) is maximum (5) - amplitude (10) = -5
Of the given options, only A & D are candidates. Now we need to decide if it is a cos graph (A) or a sin graph (D). If we shift the graph up 5 units (to eliminate the vertical shift) , the graph would pass through the origin. Thus it is a sin graph and the answer must be option D.
I don't think when this number is added to any other rational number would produce an irrational number
But we do know that when 0.4 is added to an irrational number it would be irrational.
e.g; 0.4 + pi is irrational, etc, etc
So any other irrational number would make it irrational
Answer: 0.98
Step-by-step explanation:
Let J denotes Jungle Cruise , M denotes Monorail and H denotes Matterhorn.
As per given ,
P(J) = 0.74, P(M) = 0.62, P(H) = 0.70
P(J∩M) = 0.52, P(J∩H)= 0.46 , P(M∩H)=0.44
P(J∩M∩H)=0.34
Now , the required probability:
P(J∪M∪H) = P(J) + P(M) + P(H) - P(J∩M) - P(J∩H) - P(M∩H)+ P(J∩M∩H)
= 0.74+0.62+0.70-0.52-0.46-0.44+0.34
= 0.98
Hence, the probability that a person visiting Disneyland will go on at least one of these three rides= 0.98 .