Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

a psychologist has constructed the following maze for use in an experim…

Question

a psychologist has constructed the following maze for use in an experiment. the maze is constructed so that a rat must pass through a series of one - way doors. how many different paths are there from start to finish? different paths start finish maze resources ebook submit answer 6. - / 1 points details my notes ask your teacher practice another in a survey conducted by a union, members were asked to rate the importance of the following issues: (1) job security, (2) increased fringe benefits, and (3) improved working conditions. three different responses were allowed for each issue. among the completed surveys, how many different responses to this survey were possible? different responses resources

Explanation:

(First Problem: Maze Paths):

Step1: Count paths per column

Left column: 3 paths; Middle column: 4 paths; Right column: 3 paths

Step2: Sum the column path counts

$3 + 4 + 3$

(Second Problem: Survey Responses):

Step1: Identify choices per issue

3 issues, 3 responses per issue

Step2: Calculate total combinations

$3 \times 3 \times 3 = 3^3$

Answer:

  1. 10 different paths
  2. 27 different responses