A random sample of 184 students at South High School were surveyed on whether they would prefer going to a movie or a concert. T
1 answer:
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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Answer:
The given line segment whose end points are A(2,2) and B(3,8).
Distance AB is given by distance formula , which is
if we have to find distance between two points (a,b) and (p,q) is
=
AB= = 6.08 (approx)
Line segment AB is dilated by a factor of 3.5 to get New line segment CD.
Coordinate of C = (3.5 ×2, 3.5×2)= (7,7)
Coordinate of D = (3.5×3, 3.5×8)=(10.5,28)
CD = AB × 3.5
CD = √37× 3.5
= 6.08 × 3.5
= 21.28 unit(approx)
2. Slope of line joining two points (p,q) and (a,b) is given by
m=
m=
As the two lines are coincident , so their slopes are equal.
Slope of line AB=Slope of line CD = 6