The LCM is 2x2x2x7 factorized
5-3^x = -40
subtract 5 from each side to get
-3^x=-45
divide both sides by -1 to make them positive
3^x = 45
need to do the natural logarithm on both sides to remove the variable from the exponent
so ln(3^x) = ln(45)
use logarithm rule to move x out
x ln (3) = ln(45)
dive each term by ln(3) then simplify to get
ln(3)/ln(45)
so x = ln(3)/ln(45) which calculates out to 3.46497352
round off to ten thousandths is 3.4650
There are no tanks with less than 30 fish, so the first two groups ( 20-24) and (25-29) aren't used.
There are 3 tanks with 30-34 fish.
There are 3 tanks with 35-39 fish.
There are 3 tanks with 40-44 fish.
There are 1 tanks with 45-49 fish.
Now drag the bars for each group to the number of tanks.
See attached picture:
The dollar number that defines where the lowest values falls is
20% percentile value =$20
This is further explained below.
<h3 /><h3>What is the dollar number that defines where the lowest value falls?</h3>
Generally, Now we need to determine the 20th percentile ($20). It indicates that we need to locate a dollar amount that marks the point at which the 20 % data has a value lower than that number.
i=(p/100)*n
Where i is the position of p^th
percentile when the data is presented in ascending order.
i=20/100*50
i=1000/100
i=10
Therefore
n=50
p=20
In conclusion, the 10th position for given data is 20,
Therefore, 20% percentile value =$20
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