You want to estimate the population proportion of pine trees over 90 years old in a forest near where you live. you need a margin of error of no more than 2%. with no more information to go on, what's the simplest formula for calculating your minimum sample size?
n equals open parentheses fraction numerator z asterisk times over denominator m end fraction close parentheses squared bullet p to the power of asterisk times open parentheses 1 minus p to the power of asterisk times close parenthesesa.

a. n equals open parentheses fraction numerator t asterisk times over denominator 2 m end fraction close parentheses squaredb.
b. n equals open parentheses fraction numerator z asterisk times over denominator m end fraction close parentheses squared bullet p open parentheses 1 minus p close parenthesesc.
c. n equals open parentheses fraction numerator z asterisk times over denominator 2 m end fraction close parentheses squaredd.
d. can't be determined e.

b

Step-by-step explanation:

Minimum sample size for estimating  the population proportion of pine trees over 90 years old in a forest near where you live with margin of error no more than 2% can be calculated using the equation:

n≥ p×(1-p) × where

1,918

step-by-step explanation:

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1