Answer:
a) 4.16 years
b) 27.73 years
c) 238.44 years
d) 3,870.53 years
Step-by-step explanation:
Let X be the random variable that measures the decomposition time.
a)
In this case, since the decomposition time is exponentially distributed with a mean of 1/6, we have
and we must find a t such that P(x>t)=0.5.
b)
c)
d)
Answer:
y = 3x - 2
Step-by-step explanation:
The equation is linear and expressed in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
Given (0, - 2 ) then c = - 2
Calculate the multiplier using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (1,1) ← 2 ordered pairs from the table
m = = 3, hence
y = 3x - 2 ← equation relating x and y