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)
=
Answer:
x=36
Step-by-step explanation:
The 2 angles, ∠EAF and ∠FAB are on a straight line. This means they are supplementary, and add to 180 degrees.
So,
∠EAF +∠FAB =180
We know that ∠EAF is 3x and ∠FAB is 2x, so we can substitute them in
3x+2x=180
Combine like terms
5x=180
Divide by 5 on both sides
x=36
So, x=36 degrees, or the last choice
Answer:
1/6+1/3
=3+6/6×3
=9/18
=1/2
Step-by-step explanation:
Hope you find this helpful!
Answer:
1. -9
2. -15
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
<h2>
Answer:</h2>
<h2>
Step-by-step explanation:</h2>
To solve this problem, we need to start with the parent function of the exponential function, which is 
, where 
is the base. In our problem, 
, so our parent function here is 
. Then, we need to perform some transformations to our parent function. Thus:
1. Vertical shrink:
A vertical shrink is a nonrigid transformation because the graph of the function get a distortion in the shape, so this transformation is as follows:
where 
in this problem equals 0.25 because:
2. Vertical shift:
The graph of the function 
get a vertical shift given by:
So the graph is shifted 3 units up. So the result is the graph shown above.
