A closet containing 120 pieces of clothing is made
of sweaters, jeans, and skirts. The ratio of sweaters
to jeans is 8:3, and the ratio of jeans to skirts is
3:4. If 4 of the pairs of jeans were taken out of the
closet and were replaced by 4 skirts, what will be
the new ratio of jeans to skirts?

5/9

Step-by-step explanation:

Let's define:

The following three equations are established from the question:

sw + j + sk = 120

sw/j = 8/3

j/sk = 3/4 or sk/j = 4/3

Dividing the first equation by j, we get:

sw/j + j/j + sk/j = 120/j

8/3 + 1 + 4/3 = 120/j

5 = 120/j

j = 120/5 = 24

sw = 24*8/3 = 64

sk = 24*4/3 = 32

After the replacement the new number of jeans and skirts are:

j' = 24 - 4 = 20

sk' =  32 + 4 = 36

the new ratio of jeans to skirts is:

j'/sk' = 20/36 = 5/9

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.