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Anvisha [2.4K]
3 years ago
9

Question of the day:

Mathematics
1 answer:
kogti [31]3 years ago
7 0

Answer:

  12 days 16 hours 22 minutes 7.5 seconds

Step-by-step explanation:

You are interested in the proportion ...

  earth time / heaven time = (1000 years)/(1 day) = (x days)/(3 seconds)

Multiplying by 3 seconds, we find ...

  x days = (3 seconds)(1000 years)/(1 day)

If we convert 1000 years to days, then the formula will give us "x days" as a number of seconds.

1000 years is a long enough time period that all of the leap-year rules come into play. So, we will use the average number of days in a year as 365.2425. Then 1000 years is 365,242.5 days, and we get ...

  x days = (3 seconds)(354,242.5) = 1,095,727.5 seconds

There are 3600 seconds in 1 hour, so this is ...

  x days = (1095727.5 s)/(3600 s/h) = 304.36875 h

The fraction of an hour converts to 22 minutes 7.5 seconds. The 304 hours converts to 12 days 16 hours.

When Gabe starts blowing his horn, we have 12 days 16 hours 22 minutes 7.5 seconds left on Earth.

_____

The number of minutes and seconds will vary, depending on what you consider to be the number of days in a year.

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The shape of the distribution of the time required to get an oil change at a 15-minute oil-change facility is unknown. However,
horsena [70]

Answer:

The mean oil-change time that would there be a 10% chance of being at or below is 15.46 minutes.

Step-by-step explanation:

We are given that records indicate that the mean time is 16.2 minutes, and the standard deviation is 3.4 minutes.

On a typical​ Saturday, the​ oil-change facility will perform 35 oil changes between 10 A.M. and 12 P.M. Assuming that data follows normal distribution.

Let \bar X = <u><em>sample mean time</em></u>

The z score probability distribution for sample mean is given by;

                          Z  =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = population mean time = 16.2 minutes

            \sigma = standard deviation = 3.4 minutes

            n = sample size = 35 oil changes

<u>Now, the mean oil-change time that would there be a 10% chance of being at or below is given by;</u>

<u></u>

          P(X \leq x) = 0.10          {where x is required mean oil-change time}

          P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } \leq \frac{x-16.2}{\frac{3.4}{\sqrt{35} } } ) = 0.10

          P(Z \leq \frac{x-16.2}{\frac{3.4}{\sqrt{35} } } ) = 0.10

Now, in the z table the critical value of X which represents the below 10% of the probability area is given as -1.282, that means;

                  \frac{x-16.2}{\frac{3.4}{\sqrt{35} } }  =  -1.282

               x - 16.2  =  -1.282 \times {\frac{3.4}{\sqrt{35} } }

                         x  =  16.2 - 0.74 = <u>15.46 minutes</u>

Hence, the mean oil-change time that would there be a 10% chance of being at or below is 15.46 minutes.

8 0
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Who knows where this is from?
gayaneshka [121]

Answer:

x = 13

Step-by-step explanation:

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What is the slope of the line whose equation is y = –2x – 5?​
fomenos

Answer:

Slope = -2

Step-by-step explanation:

The coefficient next to x is indicative of the equation's slope.

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3 years ago
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Find the output, y, when the input, x, is -5.
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Answer:

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60 is 1/100 of what? ​
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