Amid western music competition awarded 32 ribbons. the number of blue ribbons awarded was 3 less than the number of white ribbons. the number of red ribbons was 2 more than the number of white ribbons. how many of each kind of ribbon was awarded?

13 Red

11 White

8 Blue

Step-by-step explanation:

First, we can put this into an equation.

We'll represent blue ribbons with b, white ribbons with w, and red ribbons with r.

Since there was a total of 32 ribbons awarded, we can just add all of them together.

b+w+r=32

We also know there were 3 less blue ribbons than white ribbons.

w-3=b

There were also 2 more red ribbons than white ribbons.

w+2=r

We can plug these all in at once.

(w-3)+w+(w+2)=32

3w-1=32

3w=33

w=11

So, now we now that 11 white ribbons were awarded. With this, we also know how many red ribbons were awarded-

11+2=13

13 red ribbons, and how many blue ribbons were awarded-

11-3=8

8 blue ribbons.

choice b is correct

step-by-step explanation:

we have been given the following system of linear inequalities;

we are required to graphically determine the solution to these system of inequalities. using a graphing tool, the solution is as shown in the attachment below;

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.