Answer:
IQR = 14
Step-by-step explanation:
The interquartile range is the difference between the upper quartile and the lower quartile.
First find the median.
The median is the middle value of the data arranged in ascending order.
If there is no exact middle then it is the mean of the values either side of the middle.
There are 10 values in the data set, thus the middle is between 43 and 46.
median = = 44.5
The upper quartile is the middle value of the data to the right of the median
= 49
The lower quartile is the middle value of the data to the left of the median
= 35
Hence IQR = 49 - 35 = 14
Answer:
The area of the carpet which is square in shape is 81
Step-by-step explanation:
Given:
side of the carpet square = 9 inches
To Find:
area of the carpet square = ?
Solution:
The area of the carpet = area of the square
we know that the area of the square is
=> side X side
Substituting the side of the square, we get
=> 9 X 9
=> 81
x=2 is only solution while x=1 is extraneous solution
Option C is correct.
Step-by-step explanation:
We need to solve the equation and find values of x.
Solving:
Find the LCM of denominators x-1,x and x-1. The LCM is x(x-1)
Multiply the entire equation with x(x-1)
Now, factoring the term:
The values of x are x=1 and x=2
Checking for extraneous roots:
Extraneous roots: The root that is the solution of the equation but when we put it in the equation the answer turns out not to be right.
If we put x=1 in the equation, the denominator becomes zero i.e
which is not correct as in fraction anything divided by zero is undefined. So, x=1 is an extraneous solution.
If we put x=2 in the equation,
So, x=2 is only solution while x=1 is extraneous solution
Option C is correct.
Keywords: Solving Equations and checking extraneous solution
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