The outlier in the given data set and the reason we know it is an outlier are;
<u><em>The outlier is 9.8</em></u>
<em><u>It is an outlier because it is the distance that is less than 10.</u></em>
- Outliers in mathematics are simply values that lie outside of the other values in a set of data. This means they are far larger than the given set of values or far smaller than the given set of values.
- Now, in this question, we see that the distances given in meters are;
10.1 m, 10.1 m, 10.2 m, 10.2 m, 10.3 m, 10.1 m, 10.2 m, 9.8 m
- From these set of data values, we can see that all but 1 of the values are more than 10. This number that is less than 10 is the odd one out of these set of data values and therefore it is the outlier.
Read more at; brainly.com/question/3631910
Answer:
See below
Step-by-step explanation:
You can calculate it only when the dimensions of the prism are given.
Here, in this case dimensions of the prism are mentioned. So, number of required cubes can not be determined.
Answer:
Hey there!
When we are given what one of our variables is equal to, we can easily solve the system of equations via substitution, which is where we take the variable value, plug it into the other equation, and solve for the other variable.
In this case, we just take our value for y and plug it in for the value for y in the first equation and solve for x.
2(-x+7)=14-2x
-2x+14=14-2x
-2x=-2x
x=x
As we can see, there are infinitely many solutions to this first equation, which means that there is no possible way to solve for y because x has infinitely many solutions, so there are infinitely many solutions to this system of equations, because they are both the same line.
I hope this helps! :D
Answer:
See explanations below
Step-by-step explanation:
Given the functions f(x)=2x+3 and g(x)=x^2-1
a. Find f(g(x))
f(g(x)) = f(x^2-1)
f(g(x)) = 2(x^2-1)+3
f(g(x))= 2x^2-2+3
f(g(x)) = 2x^2+1
Hence the composite function f(g(x)) is 2x^2+1
b) g(f(x)) = g(2x+3)
g(f(x) = (2x+3)^2-1
g(f(x)) = 4x^2+12x+9-1
g(f(x)) = 4x^2+12x+8
