Answer:
9
Step-by-step explanation:
the first one is x^2 + 6x + 34
the second one is x^2 - 12x + 37
the third one is x^2 + 16
Interest in a month
2103.24 * (5.1/100) / 12
8.938
interest in 10 months
<span>8.938 * 10
</span>89.388
Final account balance
2103.24 + 89.388
2192.628
how is the volume of a solution used in calculating concentration?
Answer:
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 using the complement rule and with the normal standard distribution table:
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 lenghts 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 using the complement rule and with the normal standard distribution table: