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

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

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)
=
3x+2y=24
Times 2
6x+4y=48
-
6x+2y=30
=
2y=18
y=9
x=2. Hope it help!
We need a number to complete

Since we have

And so the expanded square is

Yanira = Y
Tim = T
Hannah = H
-----------------
Therefore:
Y=T+3
Y=2H
T=H+2
---------------
Now, we know that:
Y=T+3
But we also know that:
T=H+2
Therefore:
Y=(H+2)+3
Y=H+5
-------------------
Now we can combine the equations:
Y=H+5
Y=2H
Therefore:
2H=H+5
2H-H=5
So, H=5.
---------------------
If H=5,
Y=2H=2*5=10
---------------------
If H=5,
T=H+2=5+2=7
-----------------------
Answers:
Yanira is 10 years old.
Tim is 7 years old.
Hannah is 5 years old.