2) Period = 3π,
2π/b = 3π, b = 2π/3π = 2/3
Amplitude = 2
Midline = 1
Equation: f(x) = 3sin(2/3(x)) + 1 (no vertical shift)
See attachment for graph.
3) f(x) = -23sin(4x) + 14,
a) amplitude = 23
b) midline = 14
c) Maximum = 37
d) Minimum = -9
Answer:

Step-by-step explanation:
Since the number of residents within five miles of each of your stores is asymmetrically distributed, the distribution of the sample means will be approximately normal with a mean of 25 thousand.
The standard deviation of the sample means is:


The z value is 
We plug in the values to get:

The area to the right of 1.87 is
.
The probability that the average number of residents within five miles of each store in a sample of 50 stores will be more than 27.8 thousand is 3.07%
See attachment.
Answer:
The prices will match up at 3 snowboard rental trips. The cost is $25.
Step-by-step explanation:
First, I wrote out the two equations:
Cold Boarders: 5x + 10
Ice Riders: 4x + 13
Next, I kept trying numbers for x until I found one that worked. The two companies prices match up at 3 snowboard rental trips. The cost will be $25. Hope this helped!
Answer:
slope of line parallel to given line=slope of given line
=9/2
slope of line perpendicular to given line=‐1/slope of given line
= -2/9
Answer:17.5
Step-by-step explanation: