First, let's define our variables.
Let's call our width X(given)
and our length, since it's 10 shorter than 3 times the width, we can call our length:
3x-10
So, the perimeter of a rectange is equal to 2 times the length + 2 times the width.
So, when we plug our values in, we get
The perimeter is 8x-20
The student's friend watch 1.5 movies every week.
Data provided to us {2, 14, 1, 2, 0, 1, 0, 2}.
Number of data values = 8
Sorted or rearranged data {0, 0, 1, 1, 2, 2, 2, 14}
Median of the data provided;
Median is the mid point value of the data provided to us, but as in this case there are 8 data provided (even number of data), we will take the average of the 2 mid values of the data.
Mid Values = 1 and 2
Mean of the data provided;
As we know, The data values provided are 0, 1 and 2, and there is 14 as well in the data which is the maximum value in the data provided to us but the value is far from the other data values provided to us. Therefore, the data value 14 is considered to be an outlier.
An outlier is the maximum value that increases the mean, which makes it larger than it should be.
If we were to compute the mean without the outlier,
Now, we have understood that the mean is sensitive to outlier can be easily manipulated. thus, mean is not the right option to go for in this case.
Therefore, the median value of 1.5 is the right option.
Hence, the student's friend watch 1.5 movies every week.
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Assuming that the figure is implying that angles 1 and 2 are the same, we have
So, the measure of angles 1 is
Answer: The correct option are (1). c, (2). d and (3). (b).
Step-by-step explanation: The calculations are as follows:
(1) We are to find the solution of the following quadratic equation:
We have
Thus, the correct option is (c).
(2) We are to find the solution of the following quadratic equation:
We have
Since there is no real number whose square is negative, so this equation has no solution.
Thus, the correct option is (d). no solution.
(3) We are given to find the side length of a square with an area of 144x².
Let, 'a' denotes the side length of the square.
Then,
Since the length of the side cannot be negative, so the side length is 12x.
Thus, (b) is the correct option.
The correct option are (1). c, (2). d and (3). (b).