Answer:
D. 54%
Step-by-step explanation:
For simplicity, lets assume we have 100 students in high school.
30% of students face disciplinary action, therefore;
⇒ (30/100) x 100 = 30 students.
of these 30 students, 40% go to college. therefore;
⇒ (40/100) x 30 = 12 students (go to college)
Also 70% of students do not face disciplinary action, therefore;
⇒ (70/100) x 100 = 70 students.
of these 70 students. 60% go to college. therefore;
⇒ (60/100) x 70 = 42 students (go to college)
Total number of students who go to college
⇒ 12 + 42 = 54 students
% of students who go to college
⇒ 54/100 = 54%
Answer:
C
Step-by-step explanation:
Obviously this a log function. What you have to know about the parent graph of a log function is that it goes through the origin (0, 0). Ours appears to go through -1, so it has moved 1 unit to the left, and our appears to have moved up 3 units. The parent graph for the log function in standard form is
f(x) = log(x - h) + k.
where h indicates the side to side movement, and k represents the up and down movement. In our standard form, we fit in -1 as follows: (x - (-1)), which of course is equivalent to (x + 1). Because our function has moved up 3 units, our k is a positive 3. So the translation of the parent graph to what we see is
g(x) = log(x + 1) + 3, choice C
x-4=x(2)
x-4=2x
+4 +4
8 = 6
lilly has 8 stamps and mackenzie has 6
X + 2y = 5
x = 5 - 2y
2x + 4y = 3
2(5-2y) + 4y = 3
10 - 4y + 4y = 3
10 ≠ 3
5x + 2y = 3
5(5-2y) + 2y = 3
25 - 10y + 2y = 3
-8y = 3 - 25
-8y = -22
y = -22/-8
y = 2.75
6x + 12y = 30
6(5-2y) + 12y = 30
30 -12y + 12y = 30
30 = 30
3x + 4y = 8
3(5-2y) + 4y = 8
15 - 6y + 4y = 8
-2y = 8 - 15
-2y = -7
y = -7/-2
y = 3.5
An inconsistent system is a system of equation that has NO SOLUTIONS.
2x + 4y = 3 is the equation to be paired with x + 2y = 50 to create an inconsistent system.
Answer:
The correct option is;
We cannot infer a cause and effect relationship because the multiple variables were included
Step-by-step explanation:
The criteria required in order to establish a cause and effect relationship includes the following;
1) There must be a temporal precedence between the cause and the effect such that the cause must take place before the effect
In the question, it is not clearly stated weather there was a divorce (the likely cause) takes place before the event
2) In the vent that the cause occurs, the effect must occur
Therefore, all those who are not married are expected to be deceased for there to be a cause and effect relationship
3) The cause and effect relationship must not be explicable by other factors
In the question, it is stated that those who were married were more likely to be active physically, maintain an healthy weight and were nonsmokers, which are factors that contribute to longevity.