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

3 years ago

What is the arithmetic sequence of a1=228 n=28 sn=2982

Art [367]

Answer:

use the formula sn= n(a1+an)/2

Step-by-step explanation:

2982=28(228+an)/2

5964=28(228+an)

5964/28=228+an

213=228+an

an=-15(last term)

to find difference use formula

an = a+(n-1)d

-15=228+(28-1)d

-243=27d

d=-243/27

d=-9

arithmetic sequence can be found be keep on subtracting 9 from 228

hence the arithmetic sequence is

228, 219, 210, 201, 192, 183, 174........-15

3 0

3 years ago

^ 6 m 8 m What is the length of the hypotenuse? C = meters

ikadub [295]

Answer:

formula: a squared + b squared= c squared

6 squared+ 8 squared= c squared

36+64= c squared

100= c squared

Square root both sides

You get 10= c

5 0

3 years ago