Answer:
The score of 271.2 on a test for which xbar = 240 and s = 24 has a higher relative position than a score of 63.6 on a test for which xbar = 60 and s = 6.
Step-by-step explanation:
Standardized score, z = (x - xbar)/s
xbar = mean, s = standard deviation.
For the first test, x = 271.2, xbar = 240, s = 24
z = (271.2 - 240)/24 = 1.3
For the second test, x = 63.6, xbar = 60, s = 6
z = (63.6 - 60)/6 = 0.6
The standardized score for the first test is more than double of the second test, hence, the score from the first test has the higher relative position.
Hope this Helps!!!
Answer:
Fourth option.
Sixth option.
Step-by-step explanation:
We know that:
- Any number you can find on the number line, is a Real number.
- Integers contains positive numbers, negative numbers and zero. Every Integer is a Rational number.
- A Rational number is that number that can be written in the following form:

Where "a" and "b" are integers (
).
- An Irrational number cannot be written as a simple fraction.
- A Whole number is any of the numbers {
}. Every Whole number is a Rational number.
- Natural numbers contain the set of positive integers{
} or to the set of nonnegative integers {
}, Every Natural number is a Rational number.
Based on this, since
is in the form
where
and
, it is a Rational Number and therefore a Real number.
Let's call the lengths of our two types of sides <em />

and

.
The two sides will that our 1.3 inches bigger than the third side will be have length x, and the length of the other side will be known as y. Thus,

.
Considering this, we can add our sides together and set this value equal to 8, given the information in the problem:

Now, let's solve for y.



Now, we are not done yet. We must determine the true lengths of all of our sides. Using the equation we found earlier, the length of the two bigger sides is

inches and the length of our smaller side is simply

inches.
To verify, we can add these sides together and check that they equal 8:
3.1 + 3.1 + 1.8 = 8 ✔