On a standardized exam, the scores are normally distributed with a mean of 350 and
1 answer:
Answer:
Step-by-step explanation:
A z-score helps describe the relationship between a value and the mean of a group of values. Basically, it tells us how many standard deviations away from the mean a value is. The formula is:
where x is the value, μ is the mean, and σ is the standard deviation.
For this standardized exam, the mean is 350 and the standard deviation is 40. We want to find the z-score for a value of 346.
- x= 346
- μ= 350
- σ= 40
Substitute the values into the formula.
Solve the numerator.
Divide.
The z score is <u>-0.1</u>, so the person with a score of 346 on the exam was 0.1 standard deviations lower than the mean.
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Answer:
Parent function is compressed by a factor of 3/4 and shifted to right by 3 units.
Step-by-step explanation:
We are asked to describe the transformation of function as compared to the graph of
.
We can write our transformed function as:
Now let us compare our transformed function with parent function.
Let us see rules of transformation.
,
,
Scaling of a function:
If a>1 , so function is stretched vertically.
If 0<a<1 , so function is compressed vertically.
As our parent function is multiplied by a scale factor of 3/4 and 3/4 is less than 1, so our parent function is compressed vertically by a factor of 3/4.
As 3 is being subtracted from x, so our parent function is shifted to right by 3 units or a horizontal shift to right by 3 units.
Therefore, our parent graph is compressed by a factor of 3/4 and shifted to right by 3 units to get our new graph.