Gaps have no data in them. So the range 1-2 is a gap.
Clusters are groups of data that are right next to each other.
So the range 3-6 on your dot plot is a cluster, because there is a group of data there with no gaps.
Peaks are the greatest amount of data in the dot plot. 0 and 5 are the peaks because they both have the most data, 4.
Answer:
y = 0.5cos(4(x+π/2)) -2
Step-by-step explanation:
The centerline of the oscillation is at -2, so only the 2nd and 4th choices are viable.
The multiplier of x is computed from (2π)/period. One period is π/2, so the multiplier of x is ...
... 2π/(π/2) = 4 . . . . . matching the 2nd selection.
The horizontal offset in the second equation (π/2) is of no consequence, as it is one full period of the function.
The peak-to-peak amplitude of the oscillation is 1 unit, so the multiplier of the cosine function (which usually has a peak-to-peak value of 2 units) is 0.5. Every offered answer has that characteristic.
The appropriate choice is the 2nd one:
... y = 0.5cos(4(x+π/2)) -2
Equation A simplifies to 0 = 0. It is always true.
Equation B simplifies to 1 = -1 for a ≠ 0. It is never true.
Equation C simplifies to 2a = 0. It is true only for a = 0.
Equation D simplifies to 2a = 0. It is only true for a = 0.
The equation that is true for all values of "a" is ...
A. Equation A
Now you can see if I have to go back and get the phone off the screen when you
Answer:
Step-by-step explanation: ok so they sold 9 book marks for every 2 books right?
so you would put 72 over nine like a fraction, then you would put 2 over X like another fraction.
Then cross multiply. 72*x=72x
9*2=18
72 divided by 18 = 40
I hope this helps
