The width of a rectangle is 12 units. Can the perimeter x of the rectangle can be 60 units when its length y is 18 units? (1 poi
1 answer:
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Answer:
a) g(x) = f(x) + 3
So g(x) is a vertical translation of f(x), 3 units upwards
b) g(x) = 3x² - 1 + 3
g(x) = 3x² + 2
The graph has shifted 3 units upwards, so has the vertex.
The vertex of f is (0,-1)
Whereas the vertex of g is (0,2)
-1 + 3 = 2
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)
=
<u>Given</u>:
Given that an aquarium is being filled with water.
The given graph shows the height of the water over time as the aquarium is being filled.
We need to determine the slope of the graph.
<u>Slope</u>:
The slope of the given graph can be determined using the formula,
Since, the slope is same for all the points on the straight line, then let us consider the points (2,5) and (4,10)
Substituting these points in the above formula, we get;
Simplifying, we get;
Thus, the slope of the given graph is 2.5