<span>Answer:
The multiplication factor of increase should be inverse of the multiplication factor of decrease.
e.g. Say you have a number 100.
You increase it by 25%. The multiplication factor is 5/4 i.e. when you multiply 100 by 5/4, you get 100*5/4 = 125. This is 25% more than 100.
Now you want to decrease it by a certain % such that you get 100 back.
Basically, 100*5/4 * x = 100
So x = 4/5 (inverse of 5/4)
Hence, you decrease by 20% (the multiplication factor of 20% is 4/5)
or
Use this formula: cumulative % change = a + b + ab/100
You want the cumulative change to be 0.
a + b + ab/100 = 0
If you know that you are increasing by 25% and want to find the % by which you should decrease to get the same number,
25 + b + 25b/100 = 0
5b/4 = -25
b = -20
So you need to decrease (hence you get the -ve sign) by 20%.</span>
We assume the probability on each side is equally probable with probability 1/5.
sum=4 has outcomes:{1,4; 2,3; 3,2; 4,1} 4 possible outcomes
sum=8 has outcomes:{3,5; 4,4; 5,3} 3 possible outcomes.
Total possible outcomes = 5*5=25
there probability of rolling a sum of 4 or 8, by the law of addition, equals
4/25+3/25=7/25
Note: a regular (i.e. fully symmetric) five-sided solid does not exist, so there has to be asymmetry among the probabilities of the five possible outcomes. In addition, it does not have a "top" face, so that makes rolling a five-sided solid a little more difficult to visualize.
Answer:
Y= 15
x = 12
Step-by-step explanation:
Okay, so the sides that are across from eachother, are always equal to eachother, in a parallelogram.
So, 5y-20 = 2y + 25
Next, you add 20 to both sides, and then subtract 2 from the right side, and subtract 2 from the left side ,and you get 3y = 45
divide 45 by 3 , and you get 15.
DO the same thing for the X's.
Answer:
They must rent for less than 7 hours
Step-by-step explanation:
The charge for the room is the fee plus the hourly rate times the hour
f = 33+9.80t
This must be less than 101.60
101.60> 33+9.80t
Subtract 33 from each side
101.60-33> 33-33+9.80t
68.6> 9.80t
Divide each side by 9.8
68.8/9.8 > t
7>t
They must rent for less than 7 hours
Answer and Step-by-step explanation:
Decreased by 20%
