What is 70000% + 8100000
2 answers:
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Answer:
And we can find this probability with the complement rule:
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 average homicide rate for the cities 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:
a) The linear function that models the amount of water after t minutes is given by:
b) It takes 92 minutes to completely fill the pond.
Item a:
- Initially, the pond contains 200 gal of water, that is, the linear function has a y-intercept of 200.
- Filled at a rate of 12 gallons per minute, thus the linear function has a slope of 12.
Then, the function is:
Item b:
It takes t minutes to fill the pond, t is found for which:
Then
It takes 92 minutes to completely fill the pond.
A similar problem is given at brainly.com/question/16302622