What is the GCF of 14 and 35
1 answer:
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Answer:
The data item is
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 400 and a standard deviation of 60.
This means that
z=3
We have to find X when Z = 3. So
The data item is
Answer:
The range is all real numbers.
The domain is all reals numbers that are greater than -4.
Step-by-step explanation:
only exists when
is positive.
You can take the log of a negative or 0 number.
So implies
. (I just subtract 4 on both sides.)
So the domain is x>-4. You should see this also when you graph the curve that the curve only exist to the right of -4.
Now the range. The range is where the curve exist for the y-values.
The equivalent exponent form of is
We can solve this for x be subtract 4 on both sides:
Now here y can be anything; there are no restrictions on the exponent.
Also if you look at the graph of you should see every y getting hit by the curve (look down to up; use the y-axis as a guide).
Let's think about the inverse I found above a little more (I'm going to swap x and y).
.
If we look at the domain and range of this we can just swap it to get the domain and range of .
is an exponential function of 3^x that has been moved down 4 units.
The range since it has been moved down 4 units is .
The domain of an exponential function is all real numbers. There are no restrictions on what you can plug in for x.
So swapping these to find the domain and range of :
Domain:
Range :