T3 ACT W1 D4

A restaurant conducted a survey to determine whether its customers like or dislike corn bread and whether they like or dislike banana bread. The table below shows the results of the survey.

• 82/249

• 82/160

• 114/249

• 160/249

The positive integer 134,678 contains exactly 6 digits. Including this integer, how many 6-digit positive integers contain the digits 1, 3, 4, 6, 7, and 8?

• 6

• 29

• 720

• 4,032

• (x - 1)

• (x - 1)(x + 1)

• 7(x - 1)(x - 1)

• 7(x - 1)(x + 1)

Thomas wanted to test whether his coin was unfair. To do this, he flipped the coin 6 times and counted the number of heads and tails. Four of the flips resulted in heads, and two resulted in tails. One of the following statements is a correct conclusion based on Thomas’s test. Which one?

• The coin is unfair, because there were fewer than the expected number of tails.

• The coin is unfair, because some flips resulted in heads and some resulted in tails.

• The coin is fair, because the flips resulted in approximately the same number of heads and tails.

• Not enough flips were performed to accurately predict whether the coin is unfair.

• 120

• 20

• 27

• 31

• 38

• slope: -6,

  y-intercept: (0,8)

• slope: 6,

  y-intercept: (0,8)

What percent of employees in this company have a monthly salary greater than $5,000?

• 40%

• 60%

• 75%

• 90%