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kvv77 [185]
3 years ago
11

The manufacturer of a laser printer reports the mean number of pages a cartridge will print before it needs replacing is 12,425.

the distribution of pages printed per cartridge closely follows the normal probability distribution and the standard deviation is 595 pages. the manufacturer wants to provide guidelines to potential customers as to how long they can expect a cartridge to last. how many pages should the manufacturer advertise for each cartridge if it wants to be correct 99 percent of the time?

Mathematics
1 answer:
snow_lady [41]3 years ago
8 0

A suitable probability app shows the 1st percentile to be at about 11040 pages.

_____

The app shown has an error in the first decimal digit. The number is closer to 11040.82301. We expect the manufacturer would round to the nearest 10 or 50 or 100 in advertising.

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What is the answer to 36 ➗ -12/13
Aleks [24]

Answer:

-39

Step-by-step explanation:

Simplify the following:

36/((-12)/13)

Multiply the numerator of 36/((-12)/13) by the reciprocal of the denominator. 36/((-12)/13) = (36×13)/(-12):

(36×13)/(-12)

The gcd of 36 and -12 is 12, so (36×13)/(-12) = ((12×3) 13)/(12 (-1)) = 12/12×(3×13)/(-1) = (3×13)/(-1):

(3×13)/(-1)

3×13 = 39:

39/(-1)

Multiply numerator and denominator of 39/(-1) by -1:

Answer:  -39

8 0
3 years ago
Which value for x completes the conditional relative frequency table by column?
zheka24 [161]

<u>Answer-</u>

In the conditional relative frequency table by column, the value of x is 0.85

<u>Solution-</u>

From the paint color preference table,

Liked new paint color + Disliked new paint color = 1

\Rightarrow x+0.15 = 1

\Rightarrow x=1-0.15

\Rightarrow x=0.85

Therefore, we have x=0.85 or 85% of adults who like the new color of the paint.

7 0
3 years ago
Round the number to the place indicated.<br> Round to the nearest tenth: 1.4511
Evgen [1.6K]
1.500 since 45 rounds to 50
8 0
3 years ago
Wendy's restaurant has been recognized for having the fastest average service time among fast food restaurants. In a benchmark s
VikaD [51]

Answer:

(a) 0.2885

(b) 0.0736

(c) 0.0468

Step-by-step explanation:

The exponential distribution of Wendy's service time is given by:

P(x) =  [exp (-x/μ)]/μ............................................................................ (1)

P(x) = Probability function

x = Service time, in minute

μ = average service team, in minute, 2.2 minutes

(a) x= 1, substituting into equation (1) we have:

P(1) =  [exp (-1/2.2)]/2.2

     = 0.6347/2.2

     =  0.2885

(b)  x₁ = 0.5 minutes

       x₂ = 1 minute

P (0.5<x<1) = P(0.5) -P(1) ----------------------------------------------- (2)

From (a), P (1) =  0.2885

P(0.5) =P(1) =  [exp (-0.5/2.2)]/2.2

     = 0.7967/2.2

     =  0.3621

Substituting into (2), we have :

P (0.5<x<1) = 0.3621 -0.2885

                  =  0.0736

(c) P(5) =  [exp (-5/2.2)]/2.2

     = 0.1030/2.2

     =  0.0468

7 0
3 years ago
a company manufactures rectangular cardboard boxes. each box is 20 inches long and 15 inches wide. the heights of the boxes rang
Bogdan [553]

The range of possible values for the volume of the boxes would be 1200 - 1800 cubic inches

The dimensions of the rectangular cardboard boxes are given as

Case I

Length = 20 inches

breadth = 15 inches

Height = 4 inches

Volume of the rectangular cardboard box in case I = Length x breadth x breadth

= 20 x 15 x 4

= 1200 cubic inches

Similarly,

Case II

Length = 20 inches

breadth = 15 inches

Height = 6 inches

Volume of the rectangular cardboard box in case I = Length x breadth x breadth

= 20 x 15 x 6

= 1800 cubic inches

To learn more about volume, here

brainly.com/question/1578538

#SPJ4

4 0
2 years ago
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