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IgorLugansk [536]
3 years ago
14

A test consists of 10 multiple choice questions with five choices for each question. As an experiment, you GUESS on each and eve

ry answer without even reading the questions. What is the probability of getting exactly 6 questions correct on this test?
a. 0.6%
b. 0.00001%
c. 0.0064%
d. 0.0002%
Mathematics
1 answer:
kow [346]3 years ago
8 0

Answer:

A.

Step-by-step explanation:

Firstly, we should know that this problem is a Bernoulli trial problem.

We shall be using the equation of the trial later in the question.

We know that there are 5 options per questions, this mean that there are a total of 10 × 5 = 50 options.

Now, we also know that there are 10 correct options and 40 incorrect ones.

The probability of selecting a correct option is 10/50 = 0.2

The probability of selecting an incorrect option is 40/50 = 0.8

We know that since he is selecting exactly 6 correct answers, there has to be 4 incorrect ones, since he's attempting 10 questions.

Applying this parameters in the equation yields the following :

(10C6) × (0.2)^6 × (0.8)^4 = 210 × 0.000064 × 0.4096 =0.005505024

This is approximately equal to 0.006

The answers in the options are in percentage. Hence we convert the decimal to percentage.

6/1000 × 100% = 0.6%

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KatRina [158]

Hello There!

.84 ÷ .02 ≈ 42

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3 0
3 years ago
Solve and find X. <br> Question says 5-x / 2 = 2x-7
poizon [28]

Answer:

x = 3.8

Step-by-step explanation:

The equation is (5 - x) / 2 = 2x - 7

Multiply both sides by 2:

5 - x = 4x - 14

Add 14 to both sides:

19 - x = 4x

Add x to both sides:

19 = 5x

Divide both sides by 5 to isolate x:

3.8 = x

Therefore, x = 3.8.

7 0
3 years ago
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What is the reduced fraction of 25 and 60?
tino4ka555 [31]
25/60?
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3 0
3 years ago
The 1985 Mexico City earthquake measured a magnitude 8.0 on the Richter scale. The Richter scale uses the function M (I) = log (
Travka [436]

Answer:

The correct option is C: I = 10⁸I₀.   

Step-by-step explanation:

The function of the Richter scale is:

M_{(I)} = log(\frac{I}{I_{0}})

Since the magnitude of the earthquake is 8.0, the relation between the intensity, I, with the intensity of the threshold quake, Io, is:

8.0 = log(\frac{I}{I_{0}})

10^{8} = \frac{I}{I_{0}}

I = 10^{8}I_{0}

Therefore, the correct option is C: I = 10⁸I₀.                

I hope it helps you!                    

7 0
3 years ago
Melissa and Tomas are playing a game with complex numbers. If Melissa has a score of 5 – 4i and Tomas has a score of 3 + 2i, wha
erastovalidia [21]

Answer:

8 - 2i

Step-by-step explanation:

Just add the real parts together and then add the imaginary parts together

5 + 3 = 8

-4i + 2i = -2i

8 - 2i

3 0
2 years ago
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