Question

1. in a random survey, 20 seventh graders and 32 eighth graders are asked their preference on playing tennis. of the students surveyed, 18 students prefer to play tennis, and there are 12 seventh graders who do not prefer to play tennis. which two - way frequency table could represent the data? a, b, c, d (tables as shown). 38. consider the five equations. equation 1: $x^{3}=1,000$, equation 2: $x^{3}=100$, equation 3: $x^{3}=30$, equation 4: $x^{2}=100$, equation 5: $x^{2}=20$. which two equations have a solution of $x = 10$? a equation 1, b equation 2, c equation 3, d equation 4, e equation 5

Explanation:

Question 37

Step1: Analyze Seventh Graders

Total seventh graders: 20. Do not prefer tennis: 12. So prefer tennis: \(20 - 12 = 8\).

Step2: Analyze Eighth Graders

Total eighth graders: 32. Total prefer tennis: 18. Seventh graders prefer tennis: 8. So eighth graders prefer tennis: \(18 - 8 = 10\). Do not prefer tennis: \(32 - 10 = 22\).

Step3: Check Totals

Total prefer tennis: \(8 + 10 = 18\). Total do not prefer: \(12 + 22 = 34\). Total students: \(20 + 32 = 52\). This matches option A.

Step1: Check Equation 1

For \(x^{3}=1000\), substitute \(x = 10\): \(10^{3}=1000\), which is true.

Step2: Check Equation 2

For \(x^{3}=100\), substitute \(x = 10\): \(10^{3}=1000
eq100\), false.

Step3: Check Equation 3

For \(x^{3}=30\), substitute \(x = 10\): \(10^{3}=1000
eq30\), false.

Step4: Check Equation 4

For \(x^{2}=100\), substitute \(x = 10\): \(10^{2}=100\), which is true.

Step5: Check Equation 5

For \(x^{2}=20\), substitute \(x = 10\): \(10^{2}=100
eq20\), false.

Answer:

A. Option A (the two - way frequency table in option A)

Question 38