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lukranit [14]
3 years ago
13

g Use the counting principle to determine the number of elements in the sample space. The possible ways to complete a multiple-c

hoice test consisting of 20 questions, with each question having four possible answers (a, b, c, or d).
Mathematics
1 answer:
Lemur [1.5K]3 years ago
6 0

Answer:

(4)^{20}

Step-by-step explanation:

Total number of questions = 20

Possible options for each question = 4

Sample space contains the total number of possible outcomes.

For every question there are 4 possible ways to select an answer. This holds true for all 20 questions. Selecting an answer for a question is independent of other questions/answers,

According to the counting principle, the total number of possible outcomes will be the product of the number of possible outcomes of individual events. Possible outcomes for each of the 20 questions is 4. This means we have to multiply 4 twenty times to find the total number of possible outcomes.

So, the number of elements in the sample space would be:

(4)^{20}

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Ally surveyed 5 classrooms. She wanted to know the number of students in each class who love painting. The data she collected fr
melamori03 [73]

Answer:

45 im not to shur

Step-by-step explanation:

10 + 7 + 9 + 11 + 8 = ?

? = 45

8 0
2 years ago
The ratio of the perimeter of two similar polygons is 5:7. The area of the smaller polygon is 30 sq. cm. Find the area of the la
Debora [2.8K]

Answer:

42sq

Step-by-step explanation:

       5:7

30 sq: x sq

30/5=6 sq for 1 of the ratio

6*7=42 sq for 7 of the ratio

4 0
3 years ago
What is the surface area of a cylinder that is 5 centimeters high and has a diameter of 1.5 centimeters?
olchik [2.2K]

The surface area of cylinder is 8.625\pi cm^{2}, if the cylinder has 5 centimeters high and 1.5 cm of diameter.

Step-by-step explanation:

The given is,

          Cylinder has a 5 centimeters height

          Diameter of the cylinder is 1.5 centimeters

Step:1

          Formula for the surface area of cylinder is,

                     A=2\pi r h + 2\pi  r^{2}......................................(1)

          Where,

                   h - Height of cylinder

                   r - Radius of cylinder

        From the values of h and r,

                   r=\frac{d}{2}

                      = \frac{1.5}{2}

                   r  = 0.75 cm

       From the formula,

                      = ( 2 × \pi × 0.75 × 5 ) + ( 2 × \pi × 0.75^{2} )

                      = ( 7.5 \pi ) + ( 1.125 \pi )

                  A = 8.625\pi cm^{2}

Result:

        The surface area of cylinder is 8.625\pi cm^{2}, if the cylinder has 5 centimeters high and 1.5 cm of diameter.

3 0
4 years ago
Which graph is a function of x? On a coordinate plane, a vertical line is at x = negative 3. On a coordinate plane, a v-shaped g
irina [24]

Answer:

the answer is graph B

Step-by-step explanation:

7 0
3 years ago
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What is the vertical asymptote of the function?<br> O x=-10<br> O x=-2<br> O x = 0<br> Ox=2
Alexxx [7]

Answer:d

Step-by-step explanation:

3 0
3 years ago
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