Carol has 3 children. The youngest child is 4 years younger than the middle child. The oldest child is 6 years older than the mi
2 answers:
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Answer: After 18.05 minutes, the temperature of steel becomes 100 degrees.
Step-by-step explanation:
Since we have given that
Initial temperature = 2500
At t = 0,
we get that
After 2 minutes, the temperature of the steel is 1500 degrees.
so, it becomes,
So, We need to find the number of minutes when the temperature of steel would be 100 degrees.
So, it becomes,
Hence, after 18.05 minutes, the temperature of steel becomes 100 degrees.
Answer:
And we can find this probability with the complement rule and using the normal standard distributon table or excel we got:
And if we convert this to a % we got 18.2 % of maximum temperatures higher or equal than 32 C
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 maximum monthly temperature of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with the complement rule and using the normal standard distributon table or excel we got:
And if we convert this to a % we got 18.2 % of maximum temperatures higher or equal than 32 C