Answer:
Step-by-step explanation:
If you are given the graph of h(x)=log6x. how could you graph m(x)=log6(x+3)
2 answers:
We have been given the function
Now, we can see that in the transformed function , we have added 3 in the x.
Whenever we add/subtract some constant in the x, then the function gets translated to either left or right.
We know that if f(x) is a parent function and if we add a constant c then the function gets shift to c unit left.
Therefore, the given graph will get shifted 3 units left.
D is the correct option.
Translate each point of the graph of h(x) 3 units left.
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Answer:
And we can find this probability with this difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
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 number of passengers who arrive at the platform of a population, and for this case we know the following info
Where and
We are interested on this probability
For this case we can assume that the random variable is normally distributed.
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 this difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
Hope this helps you!
