Answer:
20.487%
Step-by-step explanation:
divide the second number by the first. then do one minus that number
Answer:
C. A horizontal stretch to produce a period of
and a vertical compression.
Step-by-step explanation:
We are given the parent function as 
It is given that, transformations are applied to the parent function in order to obtain the function
i.e. 
That is, we see that,
The parent function
is stretched horizontally by the factor of
which gives the function
.
Further, the function is compressed vertically by the factor of
which gives the function
.
Now, we know,
If a function f(x) has period P, then the function cf(bx) will have period
.
Since, the period of
is
, so the period of
is
= 
Hence, we get option C is correct.
Answer: 0.7619
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
Sample size : 
We assume that the variable is normally distributed.
The value of z-score is given by :-

a) For x= 46.9 years

The p-value : 
Hence, the probability that the average age of those doctors is less than 46.9 years =0.7619
The 3 inside angles of a triangle need to equal 180 degrees.
This is a right triangle so the bottom left corner is 90 degrees.
This means the other two angles when added need to equal 180-90 = 90 degrees.
Now you have 8x + 7x = 90
Combine like terms:
15x = 90
Divide both sides by 15
X = 6
Now you have the value for x solve the two angles:
8x = 8(6) = 48
7x = 7(6) = 42
Top left = 48 degrees
Bottom right = 42 degrees
Just add them all:(FYI, I first converted all the mixed fraction to improper)
11/3+19/3= 30/3+9/2
Now take out the LCM,
60/6+27/6= 87/6
Hence, the total number of cups that peter makes is 87/6