The estimate would be 1200.
We will set up a proportion for this. 10 out of 60 of the sample were tagged, so that is the first ratio. The 200 that were tagged would be in the numerator of the second ratio (10 was the portion tagged, and 200 is the portion tagged, so they both go on top). We do not know the total number so we use a variable:
10/60 = x/200
Cross multiply:
10*x = 60*200
10x = 12000
Divide both sides by 10:
10x/10 = 12000/10
x = 1200
An infinite number of solutions means a coincident line...it is the same line
3y = 2x - 9...divide by 3
y = 2/3x - 3...hmm...same line as answer choice b....they are coincident lines and have infinite solutions
First you cross multiply.
2*(b-4)=6b
Then distribute the 2.
2b-8=6b
Minus 2b from each side.
-8=4b
Divide each side by 4.
-2=b
So -2 is your answer.
Answer:
- <u><em>option C) 1.61</em></u>
Step-by-step explanation:
The question is to evaluate the natural logarithm of 5. Natural logarithms are logarithms with base <em>e</em>.
<em>e</em> is the irrational number equal to 2.71828182845904523536028747 ... (being irrational the decimals do not end and do not have a repetition period).
Logarithms are evaluated using tables or scientific calculators.
ln (5) = 1.6094379... it is also an irrational number, so it has infinite decimals with no repetition period.
So, rounding to two decimal numbers, ln (5) = 1.61, which is the option C).