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Answer:
In Grade 8, 22% of students liked volleyball.
Step-by-step explanation:
Given:
The table representing the relative frequencies of different sports in different grades among the students.
Swimming Running Volleyball Row totals
Grade 8 0.14 0.18 0.22 0.54
Grade 9 0.17 0.24 0.05 0.46
Column totals 0.31 0.42 0.27 1
Relative frequency gives the ratio of the number of quantities of a particular kind and the total number of quantities.
From the above table, we can conclude the following points:
Grade 8:
14% liked swimming, 18% liked running and <u>22% liked volleyball</u>. So, a total of 54% students liked playing sports.
Grade 9:
17% liked swimming, 24% liked running and 5% liked volleyball. So, a total of 46% students liked playing sports.
Combining students of grade 8 and 9:
31% liked swimming, 42% liked running and 27% liked volleyball.
From all the options available, we observe that, third option is only correct.
In Grade 8, 22% of students liked volleyball.
Answer:
Step-by-step explanation:
In similar polygons, corresponding sides are in same proportion
Cross multiply
7*(4x-3)=3*(x+1)
28x - 21 = 3x + 3
28x - 3x - 21 = 3
25x = 3 + 21
25x = 24
x = 24/25
x = 0.96
Scale factor = 7 : 3