Fish stock assessments use scientific information to determine the abundance of fish in an area. Stock assessments provide valuable data that informs decisions regarding overfishing and the ideal yield from United States fisheries. Fish stocks are assessed and monitored by the National Oceanic and Atmospheric Administration (NOAA). Linear regression can be used to determine whether fish population size is a significant predictor of fishing mortality. In 2015, researchers for NOAA obtained fish population size results and fishing mortality rates from a random sample of n=67 Alaska stocks (Fish Assessment Report, 2015). The researchers can use a t- test to see if the sample data provided evidence of an association between fish population size and fishing mortality rate, where the equation of the population regression line is

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.

the answer would be 1 1/72

step-by-step explanation:

you can rewrite the equation by separating the parts and then solving individually:

10-9=1

1/8 - 1/9=

find l c d and then combine:

1 1/72

the first one

step-by-step explanation:

just id the test.

16.80 times .20= 3.36

step-by-step explanation: