Answer:
-8 < -4
Step-by-step explanation:
Answer:
Maximum: 1, Minimum: -3, Midline y = -1, Amplitude = 4, Period =
, Frequency
, equation : 
Step-by-step explanation:
<u>Sinusoid Functions</u>
It refers to the oscillating functions like the sine or cosine which range from a minimum and maximum value periodically.
The graph shown can give us all the information we need to answer these questions:
Maximum: 1
Minimum: -3
The midline goes through the center value (mean) of the max and min values, i.e.
Equation of the midline:

Amplitude is the difference between the maximum and minimum values

The period is the time it takes to complete a cycle. We can see the minimum value is first reached at x=0 and next at 
Thus the period is

The frequency is the reciprocal of the period:

The angular frequency is

The equation of the function is a negative cosine (since it starts at the minimum) or a shifted sine or cosine. We'll choose the negative cosine, knowing all the parameters:

If you are suppose to find how much the spent all together then it would be 21. 09
Answer:
0.1667
Step-by-step explanation:
There are 6! ways to arrange the hats. The number of ways for which no guest will receive the proper hat is 5! (since there are 5 wrong hats for the first guest, 4 for the second guest, and so on). The probability that no guest will receive the proper hat is:

The probability is 0.1667.
Answer:
Option A is the important variable.
Step-by-step explanation:
Given is - At 9:45 a.m. a patient’s temperature was 101.5 degrees at 10:41, the nurse took the patients temperature again and found it was 105.8 degrees, the highest ever recorded.
The variable that is most important here is A: the number of minutes it took for the to reach its peak.
Firstly it is not mentioned if 10:41 is am or pm.
If its am, then such a temperature rise in less than an hour is very dangerous.
So, the important variable is option A.