Refer the diagram at the right. identify each angle pair as adjacent, vertical, or neither 7-12

Mathematics

1 answer:

Oxana [17]3 years ago

8 0

Adjacent angles are angles that are side by side (right next to each other). They share a side. #7 and 11 are pairs of adjacent angles.

Vertical angles are angles that are directly across from each other. They are the same angle. #8 and 9 are vertical angles.

#10 and 12 do not fit either of these descriptions so they are neither.

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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 grou

katovenus [111]

Answer:

0.3875

Step-by-step explanation:

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)

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