The sum of three consecutive numbers is 42. Find the largest number in the set

Mathematics

1 answer:

omeli [17]3 years ago

8 0

Answer:

Step-by-step explanation:

Well consecutive numbers mean that the 3 numbers will follow each other in smallest to largest.

Example : 6, 7, 8 or 6,34,87

Non-Example : 7, 9, 6

As long as the number is greater than the one before it they are consecutive.

Following this rule I have come up with the numbers :

10, 12, 20

These three numbers are consecutive and equal to 42.

Now to find the largest number in this set just look at the greatest value which would be 20.

I don't have an entire explanation for this as I just did it in my head but I do hope it is correct.

I hope this helps! :)

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Since the area under the normal curve within two standard deviations of the mean is 0.95, the area under the normal curve that c

alukav5142 [94]

Answer:

$X \sim N (\mu ,\sigma)$

And for this case we know this condition:

$P(\mu-2\sigma$

By the complement rule we know that:

$P(X< \mu -2\sigma \cup X>\mu +2\sigma) = 1-0.95=0.05$

But since the distribution is symmetrical we know that:

$P(X\mu +2\sigma) = 0.025$

So then the statement for this case is FALSE.

b. False

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

For this case if we define the random variable of interest X and we know that this random variable follows a normal distribution: