What is the range of the function represented by the graph?
2 answers:
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Answer:
reflects the required domain.
Step-by-step explanation:
We have two squares provided
Let the area of the larger square be denoted as x
The area of the smaller square is given, and we need to determine the domain for the larger square's area.
The domain refers to the possible values that x can assume in a function
In this context, x represents the area of the larger square
Because the area of the smaller square is
The area of the larger square must exceed
The domain will consist of all real numbers greater than 10
Mathematically, indicates the required domain.
Answer:
a) In this case, we have a z-score of 1.57, characterized as:
This signifies that our score is 1.57 standard deviations above the average of all test scores.
b)
Using the normal standard distribution or Excel, we computed:
This represents 2.275% of the dataset.
Step-by-step explanation:
Previous concepts
Normal distribution denotes a "probability distribution that is symmetric around the mean, indicating that data close to the mean occurs more frequently than data further from it".
The Z-score serves as "a statistical measurement representing a value's relation to the average (mean) of a set, calculated in terms of standard deviations away from the mean".
Solution to the problem
Part a
For this instance, we hold a z-score of 1.57, which is defined as:
This shows that our score is 1.57 deviations above the overall test score average.
Part b
A z-score of z=-2 indicates that your friend's score is 2 deviations below the other test scores.
Assuming a normal distribution, we can derive the percentage:
Using the normal standard distribution or Excel, we discovered:
This represents 2.275% of the data.