point 1 = ( -1 , 5 ) point 2 = ( 5 , -5 )
equation of a line: y = mx + b
Find Slope (m):
( 5 - (-5)) / (-1 - 5))
= 10 / -6
= -3 / 2
slope = -3/2
Find y-intercept (b):
y = mx + b
y = -3/2 * x + b
5 = -3/2 * -1 + b <-------------- use the x and y coordinate of one of the . points. I used point 1 ( -1 , 5 )
b = 7/2 or 3.5
Assemble:
y = -3/2 * x + 3.5
For each x intercept the corresponding factor can be deduced. For x intercepts given at 1,2,3 , the equation can be written as
y= (x-1) (x-2) (x-3)
Because x=1 therefore x-1=0 , similarly x=2 , x-2=0 and , x=3 , x-3=0
or
y= x²+2x-3 (x-3)
or
y= x³+2x²-3x-3x²-6x+9
y= x³-x²-9x+9
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The manufacturer should advertise 13811 pages for each cartridge if it wants to be correct 99% of the time
z-score is the number of standard deviations from the mean value of the reference population
99%=0.99
The z-value associate with 0.99 is 2.33:
2.33 = (X - 12425) / 595:
X - 12425 = 2.33 * 595
X = (2.33 * 595) + 12425
X = 138111
Therefore, The manufacturer should advertise 13811 pages for each cartridge if it wants to be correct 99% of the time
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Step-by-step explanation:
The model will contain 1 ten and 4 ones in each group.
