<h2>Function Definition</h2>
A function is a relation in which there is only one y-value for every x-value.
If we given an input of 3 for x, for example, we would only get one output for y, like 1, for example.
<h2>Answer</h2>
If we look at the table, we can see that the x-value of 3 gives us two outputs: 7 and 9.
Therefore, this relation is not a function.
Answer:
14
Step-by-step explanation:
Order of operations rules require that we do any work inside parentheses first. Thus,
–(31 + 2) + 72 – (–5)^2
becomes:
-33 + 72 - 25, or
14
Important: Please use " ^ " to denote exponentiation; (-5)2 is incorrect, whereas (-5)^2 or (-5)² is correct.
Answer:
The correct conclusion is:
<em>"The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches."</em>
Step-by-step explanation:
A doctor is measuring the average height of male students at a large college.
The doctor measures the heights, in inches, of a sample of 40 male students from the baseball team.
Using this data, the doctor calculates the 95% confidence interval (63.5, 74.4).
The following conclusions is valid:
<em>"The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches."</em>
Since we know that the confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.
For the given case, the confidence level is 95% and the corresponding confidence interval is (63.5, 74.4) which represents the true mean of heights for male students at the college where the doctor measured heights.
Therefore, it is valid to conclude that the doctor is 95% confident that the mean height of male students at the college is within the interval of (63.5, 74.4).
"Rotation and reflection" are the composition of transformations among the following choices given in the question that <span>will map figure K onto figure S and then onto figure U. The correct option among all the options that are given in the question is the second option or option "B". I hope that the answer has helped you. </span>
First, a bit of housekeeping:
<span>The meaning of four consecutive even numbers is 15. Wouldn't that be "mean," not meaning? Very different concepts!
The greatest of these numbers is _______ a^1
"a^1" means "a to the first power. There are no powers in this problem statement. Perhaps you meant just "a" or "a_1" or a(1).
The least of these numbers is ______a^2.
No powers in this problem statement. Perhaps you meant a_2 or a(2)
In this problem you have four numbers. All are even, and there's a spacing of 2 units between each pair of numbers (consecutive even).
The mean, or arithmetic average, of these numbers is (a+b+c+d) / 4, where a, b, c and d represent the four consecutive even numbers. Here this mean is 15. The mean is most likely positioned between b anc c.
So here's what we have: a+b+c+d
------------- = 15
4
This is equivalent to a+b+c+d = 60.
Since the numbers a, b, c and d are consecutive even integers, let's try this:
a + (a+2) + (a+4) + (a+6) = 60. Then 4a+2+4+6=60, or 4a = 48, or a=12.
Then a=12, b=14, c=16 and d=18. Note how (12+14+16+18) / 4 = 15, which is the given mean.
We could also type, "a(1)=12, a(2)=14, a(3) = 16, and a(4) = 18.
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