Answer:
son = 6 mother = 48
Step-by-step explanation:
Mother = m
son = s
m = 8s
m+6 = 9/2 * (s+6)
so
2(8s + 6) = 9(s +6)
16s + 12 = 9s + 54
16s - 9s = 54 - 12
7s = 42
s = 42/7 = 6 years old
so the mother is 8s = 8*6= 48 years old
Answer:

Step-by-step explanation:

The GCF of 18 and 30 is 6
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.
Answer:

Step-by-step explanation:
It is known that,
<em>'Vertical stretch, stretches the function up and down towards the y-axis'.</em>
The general form of vertical stretch is given by 'kf(x)', where k>1 is the factor by which function is stretched.
As, we have the function
which is stretched by a factor of 4.
Thus, the new function will be
.
Hence, the equation for the vertical stretch is
.