X= -2
put x+3=-2x-3
+3. +3
x+6=-2x
-x. -x
6= -3x
/3. /3
x=-2
X
X+2
X+4
Those are 3 consecutive odd integers
.25(4) = 1 gallon
.25(8) = 2 gallons
.25(12) = 3 gallons
.25(16) = 4 gallons
.25(20) = 5 gallons
it would take 20 minutes to remove half the water (aka 5 gallons)
Let p = points. 0 -6(3) + 4 - 2 = p. Simplify multiplication to get -18 + 4 - 2. -18 + 4 = -14 - 2 = -16.
It should be noted that the mean and the standard deviation of the data given in will be 4.26 and 1.1011 respectively.
<h3>How to solve
the mean.</h3>
From the complete information, the mean will be calculated as:
= (0.02 × 1) + (0.09 × 2) + (0.12 × 3) + (0.15 × 4) + (0.62 × 5)
E(X) = 4.26
The standard deviation will be calculated thus:
E(X²) = (0.02 × 1²) + (0.09 × 2²) + (0.12 × 3²) + (0.15 × 4²) + (0.62 × 5²)
E(X²) = 19.36
The standard deviation will then be the difference between the square root of 19.36 and 4.26². This will be 1.1011.
The expected profit of the company will be:
= 0.75 × E(X)
= 0.75 × 4.26
= $3.20
The mean of the total number of binders purchased will be:
= 4.26 + 2.74 = 7
The standard deviation will be 1.6658.
Lastly, the total expected profit will be:
= 0.75E(X) + 1.45E(Y)
= 0.75(4.26) + 1.45(2.74)
= 3.195 + 3.973
= 71.68
Learn more about standard deviation on:
brainly.com/question/24298037
