Find the iqr for the data set 24, 36, 42, 57, 65

31

Step-by-step explanation:

The median of this data set is 42.

The 1st quadrant is the mean of 24 and 36:  30.

The 3rd quadrant is the mean of 57 and 65, or 61.

Thus, the IQR is the difference between 61 and 30:  It is 31.

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.