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choli [55]
2 years ago
10

you are taking a quiz that has 8 multiple-choice questions. if each question has 3 possible answers, how many different ways are

there to answer the test?
Mathematics
1 answer:
Andrew [12]2 years ago
6 0

There are 6561 different ways in total to respond to the multiple-choice test questions.

<h3>Define the term permutation?</h3>
  • The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation.
  • Simply said, a permutation is a term that refers to the variety of possible arrangements or orders.
  • The arrangement's order is important when using permutations.
  • Simply counting any number of ways that one or more things can be rearranged at once constitutes counting permutations.

The number of quiz question = 8.

Number of possible answer is = 3.

The entire test of 8 questions could be answered in one of three ways for each question, and each solution is independent of any other answers:

= 3*3*3*3*3*3*3*3

= 3^8 ways

= 6561 ways

Thus, there are 6561 different ways in total to respond to the multiple-choice test questions.

To know more about the permutation, here

brainly.com/question/1216161

#SPJ4

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The test statistic of z equals negative 1.37 is obtained when testing the claim that p equals1 divided by 4. a. Using a signific
spin [16.1K]

Answer: a) critical value = 0.0853, b) we reject the null hypothesis.

Step-by-step explanation:

Since we have given that

z = -1.37

And the hypothesis are given below:

H_0:p=\dfrac{1}{4}=0.25\\\\H_1:p\neq 0.25

Since α = 0.01

since critical value = 0.0853

As we can see that 0.853 < 0.25.

so, we reject the null hypothesis.

Hence, a) critical value = 0.0853, b) we reject the null hypothesis.

6 0
4 years ago
A rectangle school banner has a length of 44 inches, a perimeter of 156 inches , and an area of 1496 square inches. The cheerlea
Andrej [43]
Based on the lengths, the cheerleaders' banner is scaled down by a factor of 4.

So, 44 ÷ 4 = 11.

For the perimeter, 156 ÷ 4 is 39.

For the area, you have to do A=bh
(Area = base × height)

The base (length) is 11 inches, multiply that by two to get 22 inches which is the amount for both lengths. If the total perimeter is 39, you have to subtract 22 from that to get the remaining inches which is 17.
17÷2= 8.5 inches. The height is 8.5.

Now you can plug them in
A=bh
A=(11)(8.5)
A=93.5 in^2

The final answer is:
Area = 93.5 in^2
Length = 11 in
Perimeter = 39 in

I hope that helps!
7 0
3 years ago
Two cars are 400 km apart. One car is traveling at 55 km/h and the other car is traveling at 45 km/h. If they start at the same
Alja [10]

Answer:

Two cars are 400 km apart. One car is traveling at 55 km/h, and the other cars are traveling at 45 km/h; if they start at the same time and are driving toward each other, the two cars will meet after 4 hours.

Solution:

Let the two-car be A and B.

Given that two cars are 400 km apart.  

Let us assume The distance traveled by A to meet B = x km.

 

The distance traveled by B can be found by subtracting the total distance x from a length is traveled by A.

So distance travelled by B = (400-x) km

Time taken will be the same for A and B

We know that,  we get

Let us consider the time taken by car. So time is taken by A to travel x km =

Similarly, time is taken by B to travel distance (400-x) km =  

When the two cars meet, .hence we get,

On solving above equation,

9x = 11(400 – x)

9x = 4400 – 11x

9x + 11x = 4400

20x = 4400

X = 220

After 220 km of travel, the car with a speed of 55 km will meet other cars traveling at a rate of 45 km. Now the time taken for two cars to meet each other is given as,

Time is taken for cars to meet =  

Hence the two cars will meet after 4 hours.

Step-by-step explanation:

4 0
3 years ago
(4x +3)^2 + (3x - 2) (4x + 3) = ?​
hichkok12 [17]

Answer:

192x^4+304x^3+36x^2−135x−54

Step-by-step explanation:

3 0
3 years ago
Evaluate the function at x = –2. A. y = –4 B. y = 0 C. y = 2 D. y = 3
lys-0071 [83]
From the graph, identify the x=-2 point on x axis,
(is it 2 units to left of origin.)

now, imagine a vertical line through it.
This vertical line intersects the given line at which point?
The y co-ordinate of this point is your answer.

From the given graph,
the vertical line intersects at (-2,3)
so y= 3 it is :)
4 0
3 years ago
Read 2 more answers
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