A submarine dove 35 feet per hour for 7 hours. How deep is the submarine if it originally started at 107 ft. below sea level?
2 answers:
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There are $9842 in her account at the end of last year.
Step-by-step explanation:
Given,
Amount in account = $7600
Increment by the end of year = 29.5%
Amount of increase = 29.5% of amount in account
Amount of increase =
Amount of increase = 0.295*7600 = $2242
The increase is $2242.
Amount after increase = 7600 + 2242 = $9842
There are $9842 in her account at the end of last year.
Keywords: percentage, division
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Answer:
a)
b)
Step-by-step explanation:
1) 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".
2) Part a
Let X the random variable that represent the duration of a safe dosage of pain relief drug, 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 on this way:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.
3) Part b
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 on this way: