Let's analyse the function

The amplitude is A, so we want A=1.5
Now, we start at x=0, and we have 
After one second, i.e. x=1, we want this sine function to make 330 cycles, i.e. the argument must be 
So, we have

so, the function is

First, Michelle exercises for thirty minutes every day.
If Michelle exercises for 30 minutes for 5 days, this would 30 × 5.
30 × 5 = 150 minutes
11, 12, 15, 16, 20, 20, 25
Mean: 17
The range is 25-11 = 14 (the numbers in bold)
The interquartile range is 20-12=8 (the numbers underlined)
The mean absolute deviation is: 4; this is found by finding how far each number is from 17 (mean): 6,5,2,1,3,3,8 (28) and dividing by 7.
Part B:
The prices vary by no more that $14 (range).
<span>The middle half of the prices vary by no more than $8 (IQR).
</span>
<span>The admission prices differ from the mean price by an average of $4 (MAD).</span>
Answer:
The formula to determine the population of penguins at the end of the 7th year is:

Step-by-step explanation:
With this information, we know that the initial population at end of year 0 is 1000 penguins.
The first year will born 500 chicks (50% of the population) and also 20% of the total population will die.
We can then model the population for the end of year 1 as:

As this dynamic will continue with the years, we can generalize as:

Then, the value of the population at the end of the 7th year should be:

Answer:
FA = 25.87
Step-by-step explanation:
Given: BD = 30 , DF = 5 , EF = 16
To find: FA
Rectangular box is a Cuboid.
Figure attached.
AB = FE = 16
So,
In ΔADB
using Pythagoras theorem,

Again using Pythagoras theorem in Δ ADF we get

Therefore, FA = 25.87