So the 4 represents the amplitude of the function. We can also see that because it is a positive number, the graph is even. ⁽⁽The number before the graph type (Sin or Cos) always represents the amplitude. The amplitude is how many units the graph travels up and down from the midline.
The -2 is the midline. This means that the midline is at -2 on the Y-axis. To find the max and min, you then add the amplitude to find the maximum, and subtract to find the minimum. [-6. 2]
To find the period, you divide 2π by the term in front of x. In this case, it's 3, so we do 2π/3. This cannot be simplified further, but in degrees this equals 120°. This means that, with the question asking for 2 full cycles, that the graph will go through 2 full cycles in 240°
Hope this helps, sorry i couldn't sketch the graph for you
Question:
In a neighbourhood pet show, each of the animals entered is equally likely to win. if there are 7 dogs, 6 cats, 3 birds, and 2 gerbils entered, what is the probability that a bird will win the top prize?
Answer:
Probability that a bird will win the top prize is 0.167
Step-by-step explanation:
Given:
The number of dogs = 7
The number of cats = 6
The number of birds = 3
The number of gerbils = 2
To Find:
Probability that a bird will win the top prize = ?
Solution:
Let us first find the total number of pets .
The Total number of pets = 7 + 6 + 3 + 2 = 18
Now the probability of a bird will win the top prize is
=> 
=>
=> 
=>0.167
Answer:
Step-by-step explanation:
1. 
2. 
3. b =
Can't be simplified.
Answer:
4
Step-by-step explanation:
To find the mean absolute deviation (MAD), first find the mean (or average).
μ = (59 + 71 + 68 + 75 + 67) / 5
μ = 68
Next, subtract the mean from each value and take the absolute value.
|59 − 68| = 9
|71 − 68| = 3
|68 − 68| = 0
|75 − 68| = 7
|67 − 68| = 1
Sum the results and divide by the number of students.
MAD = (9 + 3 + 0 + 7 + 1) / 5
MAD = 4
