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LenKa [72]
3 years ago
14

1. A manufacturer of a printer determines that the mean number of days before a cartridge runs out of ink is 75 days, with a sta

ndard deviation of 6 days. Assuming a normal distribution, what is the probability that the number of days will be less than 67.5 days?
Mathematics
1 answer:
satela [25.4K]3 years ago
8 0

Answer:

P(X

And we can find this probability using the normal standard table or excel:

P(z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the number of days before cartridge runs out of a population, and for this case we know the distribution for X is given by:

X \sim N(75,6)  

Where \mu=75 and \sigma=6

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X

And we can find this probability using the normal standard table or excel:

P(z

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Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Solve for x in the figure below
fredd [130]

Answer:

x = 35.4

Step-by-step explanation:

Sum of all interior angles in a triangle = 180°

Therefore:

(x + 2)° + (2x + 2)° + (2x - 1)° = 180°

x + 2 + 2x + 2 + 2x - 1 = 180

Collect like terms

x + 2x + 2x + 2 + 2 - 1 = 180

5x + 3 = 180

Subtract 3 from each side

5x + 3 - 3 = 180 - 3

5x = 177

Divide both sides by 5

5x/5 = 177/5

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2 years ago
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Step-by-step explanation:
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Let us find area of walls and ceiling.



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3 0
2 years ago
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hammer [34]
Given the equation, S = D/T:

To make the D the subject of the equation, we can start by multiplying both sides by T to isolate D:

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Therefore, the final answer is D = TS
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3 years ago
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Anna35 [415]

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Step-by-step explanation:

1. set up the equation-

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We know quarters are 25 cents so .25 if he has one quarter you put that one quarter into x, 2 into x and so on

Tom has 4 more, since he has 4 more it is 4+x and one again times .25

2. that is it

7 0
2 years ago
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