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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Answer:
y = (-1/7)x + (24/7)
Step-by-step explanation:
The general structure of a line in slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept.
You have been given the value of the slope (m = -1/7). You have also been given values for "x" and "y" from the point (3,3). Therefore, you can substitute these values in for their variables and simplify to find the value of the y-intercept.
y = mx + b <----- Slope-intercept form
y = (-1/7)x + b <----- Plug -1/7 into "m"
3 = (-1/7)(3) + b <----- Plug in "x" and "y" values from point (3,3)
3 = -3/7 + b <----- Multiply -1/7 and 3
24/7 = b <----- Add 3/7 to both sides
Now that you know that m = -1/7 and b = 24/7, you can determine the formula satisfying the given information.
y = (-1/7)x + (24/7)
.2 converted to a fraction would be 1/5
Answer:
3) f(x) = 3(x + 2)^2 - 1.
Step-by-step explanation:
f(x) = 3x² + 12x +11
f(x) = 3(x^2 + 4x) + 11 Completing the square:
f(x) = 3[(x + 2)^2 - 4] + 11
f(x) = 3(x + 2)^2 -+3*-4 + 11
f(x) = 3(x + 2)^2 - 12 + 11
f(x) = 3(x + 2)^2 - 1.
6-3=3
2/8-5/8=3/8
you would have to change the denominator
