Paleobotanists estimate the moment in the remote past when a given species became extinct by taking cylindrical, vertical core samples well below the earth's sur- face and looking for the last occurrence of the species in the fossil record, measured in meters above the point p at which the species was known to have first emerged. letting [v, i- ,n} denote a sample of such distances above pat a random set of locations, the model uniform(0, 8) ) emerges from simple and plausible assumptions. in this model the unknown θ > 0 can be used through carbon dating, to estimate the species extinction time. the marginal distribution of a single observation y, in this model may be written 0 otherwise where 1 (a) = 1 if a is true and 0 otherwise.

a

step-by-step explanation:

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form