Answer:
f(x) = 488
Step-by-step explanation:
first you plug in 82 in for x then you multiply by 6 times 82 and you get 492 then you subtract 4 and you get 488
Answer:
Step-by-step explanation:
<u>We know that</u>
- The diagonals of a rectangle are of equal length
- The diagonals bisect each other
<u>Considering the above we have:</u>
<u>Substitute the given values and solve for x:</u>
- 24x - 8 = 2*(8x + 4)
- 24x - 8 = 16x + 8
- 24x - 16x = 8 + 8
- 8x = 16
- x = 16/2
- x = 2
Answer:
three equivalent ratios will be
6:22 , 9:33, 15:55
Answer:

Step-by-step explanation:
Similar shapes also maintain a constant proportion of sides. Therefore, we can set up the following equation:

Solving, we get:

Answer: The distribution of the data set is positively skewed.
<u>Explanation: </u>
In order to see whether the given data set is symmetric, positively skewed or negatively skewed, we will find the mean, median and mode of the given data set.
For symmetric distribution, 
For positively skewed distribution, 
For negatively skewed distribution, 
The mean of the given data set is given below:



Now, the Median is:
To find the median we need to sort the data in ascending order as:







The mode is the most frequently occurring observation. Therefore the mode is:

Since the
, therefore the distribution of the given data set is positively skewed.