Use the counting principle to determine the number of elements in the sample space. the possible ways to complete a multiple-choice test consisting of 16 questions, with each question having four possible answers (a, b, c, or d).

The correct answer is 4294967296 possible ways to complete such a test.

Step-by-step explanation:

Step 1

The first step is to define the fundamental principle of counting. The fundamental principle of counting states that if a process can be carried out in n steps, where there are  ways to complete the first step, ways to complete the second step, , and ways to complete the step, this process can be carried out in   ways.

Step 2

We use the fundamental principle of counting with for a total of steps.  This test can be carried out in ways. This comes from multiplying 4 by itself 16 times.

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

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m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0