Answer: option d) (1/16) (42 - x)
Explanation:
1) You forgot to include the table.
This is the table:
Rate time distance
(mi / min) (min) (mi)
up the hill 1/12 x (1/12)x
down the hill 1/16 42-x ?
2) You also forgot to include the set of answerchoices. This is it:
a) x
b) -x
c) 42 - x
d) (1/16) (42-x)
3) Solution:
The missing value is the distance of the trip down the hill.
The distance is the rate times the time, i.e.:
distance = rate * time
the rate is given as 1/16, and the time is given as 42 - x, so the distance is:
distance = (1/16) (42 - x), which is the answer.
F(x)=x2,
g(x)=f(3x)=(3x)2=9x2
Now to graph y=9x2. This is a parabola (U-shape), vertex at (0, 0), symmetric aroung y axis. When x=1/3 or -1/3, then y=1.
So, try to draw the graph.
Answer:
31.25
Step-by-step explanation:
Answer:
8 and 12
Step-by-step explanation:
Sides on one side of the angle bisector are proportional to those on the other side. In the attached figure, that means
AC/AB = CD/BD = 2/3
The perimeter is the sum of the side lengths, so is ...
25 = AB + BC + AC
25 = AB + 5 + (2/3)AB . . . . . . substituting AC = 2/3·AB. BC = 2+3 = 5.
20 = 5/3·AB
12 = AB
AC = 2/3·12 = 8
_____
<em>Alternate solution</em>
The sum of ratio units is 2+3 = 5, so each one must stand for 25/5 = 5 units of length.
That is, the total of lengths on one side of the angle bisector (AC+CD) is 2·5 = 10 units, and the total of lengths on the other side (AB+BD) is 3·5 = 15 units. Since 2 of the 10 units are in the segment being divided (CD), the other 8 must be in that side of the triangle (AC).
Likewise, 3 of the 15 units are in the segment being divided (BD), so the other 12 units are in that side of the triangle (AB).
The remaining sides of the triangle are AB=12 and AC=8.
So,, there are 5 different flavors. A total of 180 people were asked. Hence, the hypothesis that there is no significant difference is that every flavor gets 180/5=36 flavors. x^2=

. In this case, mi is the proportion of the hypothesis, thus 36, n=180 and xi is the number of actual observations. Substituting the known quantities, we get that x^2=9. The degree of association is given by

. This yields around 0.10, much higher than our limit.