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Juli2301 [7.4K]
2 years ago
7

How many pages should the manufacturer advertise for each cartridge if it wants to be correct 99% of the time

Mathematics
1 answer:
PolarNik [594]2 years ago
7 0

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

Learn more about the Manufacturer here

brainly.com/question/19584679

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So i had a 95 in math but then my teacher wanted to drop it to a 45 because she thought something was missing but now how do i b
Amiraneli [1.4K]

Answer:

just ask

Step-by-step explanation:

ask your teacher what am I missing i felt like I had everything done what am i not turning in

5 0
3 years ago
PLEASE HELP MEEEEEEEEE FAST!! ILL GIVE BRAINLIEST!!:((((((((
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Answer:

I believe it's D. (3,4)

Step-by-step explanation:

A equals 3, and after plugging that in and simplifying, you're left with B=4.

<em>Hope this helps!</em>

7 0
3 years ago
Read 2 more answers
two years ago a man was six times as old as his daughter. In 18 years he will be twice as old as her, determine their present ag
BabaBlast [244]

Step-by-step explanation:

Let m = man's age right now

d = daughter's age right now

m-2 = 6(d-2)  =>  m = 6d -12 +2 = 6d-10

m+18 = 2(d+18)   =>   m = 2d+36-18 = 2d+18

6d-10 = 2d+18

4d = 28

d = 7

m = 32

6 0
3 years ago
A tank contains 60 kg of salt and 1000 L of water. A solution of a concentration 0.03 kg of salt per liter enters a tank at the
charle [14.2K]

Answer:

\dfrac{dy}{dt}=0.27-0.009y(t),$  y(0)=60kg

Step-by-step explanation:

Volume of water in the tank = 1000 L

Let y(t) denote the amount of salt in the tank at any time t.

Initially, the tank contains 60 kg of salt, therefore:

y(0)=60 kg

<u />

<u>Rate In</u>

A solution of concentration 0.03 kg of salt per liter enters a tank at the rate 9 L/min.

R_{in} =(concentration of salt in inflow)(input rate of solution)

=(0.03\frac{kg}{liter})( 9\frac{liter}{min})=0.27\frac{kg}{min}

<u>Rate Out</u>

The solution is mixed and drains from the tank at the same rate.

Concentration, C(t)=\dfrac{Amount}{Volume} =\dfrac{y(t)}{1000}

R_{out} =(concentration of salt in outflow)(output rate of solution)

=\dfrac{y(t)}{1000}* 9\dfrac{liter}{min}=0.009y(t)\dfrac{kg}{min}

Therefore, the differential equation for the amount of Salt in the Tank  at any time t:

\dfrac{dy}{dt}=R_{in}-R_{out}\\\\\dfrac{dy}{dt}=0.27-0.009y(t),$  y(0)=60kg

8 0
4 years ago
The height of a rectangular prism is 3 feet. The length and width can be expressed as x-1 and x+4. If the volume of the prism is
SashulF [63]

Answer:

Step-by-step explanation:

Volume  = 198 ft

length * width * height = 198

(x - 1) * (x + 4) * 3 = 198

(x - 1) * (x + 4)  = 198/3

(x - 1) * (x + 4) = 66

x*x + x*4 -1*x - 1*4 = 66   {Use FOIL method to multiply}

x² + 4x - x - 4 = 66

x² + 3x - 4 =66

x² + 3x - 4 - 66 = 0

x² + 3x - 70 = 0

Now factorize.

x² + 10x - 7x - 7*10 = 0

x(x +10) - 7(x + 10 ) = 0

(x + 10)(x - 7) = 0

x - 7 = 0 {x + 10 is ignored because measurement cannot be in negative}

x = 7

length = x - 1 = 7 - 1 = 6ft

Width = x + 4 = 7 + 4 = 11 ft

4 0
4 years ago
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