How do I estimate 542,817

Mathematics

1 answer:

ioda2 years ago

4 0

Answer:

Step-by-step explanation:

Much depends on how accurate an estimate you want.

If "to the nearest hundred" would be acceptable (it's a lot of work),

Round off 542817 to 542820 and 27398 to 2740. Then you'd want to subtract 2740 from 542820. (Again, it's a lot of work.)

Otherwise round off to the nearest thousand: 543000 - 27000.

Or go to the nearest ten thousand: 540,000 - 30,000 = 510,000 (estimate)

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A survey among students at a certain university revealed that the number of hours spent studying the week before final exams was

Rainbow [258]

Answer:

$P(25$

And we can find this probability with this difference:

$P(0$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(0$

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 hous spent studying the week before final exams of a population, and for this case we know the distribution for X is given by:

$X \sim N(25,6)$