3. A research study asked children which of four different emotions they associated with the color red. The response and gender of each child are given in the following table.

This is required solution

Step-by-step explanation:

Given that:

for male

joy = 28

happiness = 20

love = 40

anger = 18

a] we need to calculate the percentage of emotions for the male

using formula for percentage

percentage of joy =

percentage of joy = 26.41

percentage of happiness =

percentage of happiness = 18.86

percentage of love =

percentage of love = 37.73

percentage of anger =

percentage of anger = 16.98

for female

joy = 61

happiness = 25

love = 80

anger = 60

we need to calculate the percentage of emotions for the female

using formula for percentage

percentage of joy =

percentage of joy = 26.99

percentage of happiness =

percentage of happiness = 11.06

percentage of love =

percentage of love = 35.39

percentage of anger =

percentage of anger = 26.54

B] We need to draw a bar graph for male and female

using percentage of emotion of male and female

according to using percentage we draw a bar graph using data of part A.

Hence, this is required solution

1: -2 3/4, -2 1/2, -14, 0, 3, 8 1/3

2: -4, -3, -2 1/2, -2 1/4, 3 1/4,

step-by-step explanation:

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.