Answer:
Equivalent systems of equations review
Step-by-step explanation:
We're given two systems of equations and asked if they're equivalent.
x + 4y = 8 (1)
4x + y = 2 (2)
Interestingly, if we sum the equations in System A, we get:
Replacing the first equation in System A with this new equation, we get a system that's equivalent to System A:
This is System B, which means that System A is equivalent to System B.
The correct statements are as follows;
42% of the students prefer a concert over a movie.
A greater ratio of 11th graders prefer a concert to a movie
The difference in the percent of students who prefer a movie over a concert is 16%
Given that
A random sample of 184 students at South High School was surveyed on whether they would prefer going to a movie or a concert.
10th 11th 12th total
Movie .18 .16 .24 .58
Concert .15 .18 .09 .42
Total .33 .34 .33 1
According to the question
The marginal relative frequency for 10th graders is 0.18.
This is an incomplete statement.
The marginal frequency is a number, not a percent.
42% of the students prefer a concert over a movie.
42% preferred a convert to the 58% who preferred a movie.
This statement is True.
A greater ratio of 11th graders prefers a concert to a movie.
18/100 concert to 16/100 for the movie for 11th graders.
More 12th graders were surveyed than any other grade level.
There were more 11th graders surveyed (34%) to (33%) for 12 graders False
The difference in the percent of students who prefer a movie over a concert is 16%.
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