Given that in a group of college students, the ratio of men to women is 3:1 (i.e., 3 to 1). In a recent survey, 40% of the men in this group selected hiking as their favorite outdoor activity whereas 35% of the women in the group selected hiking as their favorite outdoor activity

From the above information we find that

P(Men) = 0.75 and P(women) = 0.25 (since men:women = 3:1)

Out of men prob for not selecting hiking as their favorite outdoor activity

$=1-0.6 = 0.4$

Out of women prob for not selecting hiking as their favorite outdoor activity

$=1-0.35 = 0.65$

Prob for a randomly selected person that hiking is not his/her favorite outdoor activity = Prob (man and not selected activitiy) + P(women and not selected activity) (since men and women are mutually exclusive and exhaustive)

= $0.75(0.4)+0.25(0.35)\\= 0.30+0.0875\\\\=0.3875$

6 0

2 years ago

In kite ABCD, AB = BC and CD = DA. AB = (3x + 4), BC = x + 8, CD = y + 7, and DA = 2y + 5, find the perimeter of the kite

lana [24]

3x + 4 = x+ 8 > 3x - x = 2x > 2x + 4 = 8 > 8 - 4 = 4 > 2x / 2 crosses out > 4 / 2 = 2 > x=2
2y + 5 = y + 7 > 2y - y = y > y+ 5 = 7 > 7-5= 2 > y=2

the perimeter of the kite is 4

8 0

3 years ago