I'll denote the identity function by 
. Then for any functions 
with inverse 
,
One important fact is that composition is associative, meaning for functions 
, we have
So given
we can compose the functions on either side with 
:
then apply the rules listed above:
Answer: 74.8%
This answer is approximate.
The value is rounded to the nearest tenth of a percent.
==========================================
Explanation:
Let,
X = area of the larger circle
Y = area of the smaller circle
Z = area of the shaded region = X - Y
The goal is to compute the ratio Z/X to get the answer we want
Let's find area of the larger circle
Area of circle = pi*(radius)^2
A = pi*r^2
X = pi*8.01^2
X = 64.1601pi
This is the exact area in terms of pi
Now repeat for the smaller circle
A = pi*r^2
Y = pi*4.02^2
Y = 16.1604pi
Subtract those results to find the value of Z
Z = X-Y
Z = 64.1601pi-16.1604pi
Z = 47.9997pi
This is the exact area of the red donut region
Divide Z over X to get the probability of landing in the red region
Z/X = (47.9997pi)/(64.1601pi)
Z/X = (47.9997)/(64.1601) <--- note how the pi terms cancel
Z/X = 0.74812 which is approximate
Convert to a percent
Move the decimal point 2 spots to the right
0.74812 ---> 74.812%
Then round this to one decimal place
74.812% ---> 74.8%
Answer:
$ 37.32 is the required budget in dollars (2 decimals) to have the cheese burgers in your sample
Step-by-step explanation:
Here
Z∝ =1.64
Standard Deviation=S= 0.21
Sampling Error= SE= 0.05
As Sampling Error is found by
SE= z * s/√n
√n= z*s/ SE
n= (z* s/ SE)²
We use the above formula to calculate N
N= ( Z * S/SE)²
N= (1.64 * 0.21/0.05)²
N= 28.9296= 28.93
Cost of N number of burgers
= Cost *N
= $1.29 * 28.93= $ 37.32 is the required budget in dollars (2 decimals) to have the cheese burgers in your sample
Answer:
6/5 or 1.2
Step-by-step explanation:
First, you need to multiply the length by how much the width is of the length, which is 2/3, so you multiply 1 4/5 by 2/3 and you get 6/5. If you want the decimal form, then the answer will be 1.2.
