Only letter a has an answer. Pls. see attachment.<em>
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The probability that one cubic meter of discharge contains at least 8 organisms is 0.7798
Answer:
a. -5
b.-5
c.-5
Step-by-step explanation:
In order to find the average rate of change of a function , we divide the change in the output value by the change in the input value.
Generally, the average rate of change (ARC) on an ecuatios between two points (x1,f(x1)) and (x2,f(x2)) is
- ARC = [f(x2)-f(x1)]/ (x2-x1)
<em>In case a)</em>
f(-1)= -5*(-1)-8=5-8= -3 f(3)= -5*3-8= -23
Then ARC= (-23-(-3))/(3-(-1))=-20/4=-5
<em>In case b)</em>
f(a)= (-5a-8)
f(b)= (-5b-8)
Then ARC= [(-5b-8)-(-5a-8)]/(b-a)= (-5b+5a)/(b-a)= -5(b-a)/(b-a)= -5
<em>In case c)</em>
f(x)= -5x-8
f(x+h)= -5(x+h)-8= -5x-5h-8
then ARC= [(-5x-5h-8)-(-5x-8)]/(x+h-x) =-5h/h= -5
Answer:
113.1cm
Step-by-step explanation:
area=
r²
r= half the diameter r=6
a=
6²
a=
36
a=113.1 cm
Answer:
y = one-third x + 3
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Slope Formula: 
Step 1: Find slope <em>m</em>
m = (4 - 1)/(3 + 6)
m = 3/9
m = 1/3
y = 1/3x + b
Step 2: Find <em>b</em>
4 = 1/3(3) + b
4 = 1 + b
b = 3
Step 3: Rewrite
y = 1/3x + 3