we are given
The scale is

the distance from Happy Hill Park to Rainbow Valley Park is 4 1/2 inches
we can change it into rational form
and we get

so, we can multiply both sides by 9

now, we can simplify it

so, the actual distance between the two parks is 27 miles........Answer
Answer:
1
Step-by-step explanation:
2-1 =1 LALALALALALALALALALALALALA
Answer:
Option C - 420
Step-by-step explanation:
Given : Objective function, P, with the given constraints

Constraints,


To find : What is the maximum value
Solution :
First we plot the graph through the given constrains.
As they all move towards the origin the common region of the equations is given by the points (0,0), (0,12), (2,10), (4,0)
Refer the attached figure.
So, we put all the points in P to, get maximum value.






Therefore, The value is maximum 420 at (0,12)
So, Option C is correct.
Answer:
Step-by-step explanation:
There is a 1/12 probability that volume 1 will be correctly put in position 1.
If we assume that volume 1 is right, then since there are then only 11 books left to choose from, there is then a 1/11 prob that volume 2 will be in position 2. And so on. By the same reasoning there is 1/10 prob that volume 3 is then right, 1/9 prob for volume 4, 1/8 prob for volume 5, and 1/7 prob for volume 6,
and 1/6 prob for volume 7,and 1/5 prob for volume 8,and 1/4 prob for volume 9,and 1/3 prob for volume 10,and 1/2 prob for volume 11,and 1/1 prob for volume 12.
So the probability is 1 /(12*11*10*9*8*7*6*5*4*3*2*1) = 1 / 479,001,600 ....
Step-by-step explanation:
After each year, the new population of the lions is 100% - 8% = 92% of the population of the lions the year before.
Hence our exponential base should be 0.92, indicating exponential decay. (A)