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klio [65]
4 years ago
14

On a multiple choice test with 15 ​questions, each question has four possible​ answers, one of which is correct. For students wh

o guess at all​ answers, find the variance for the number of correct answers. Round to the nearest tenth.
Mathematics
1 answer:
Aleks [24]4 years ago
5 0

Answer:

The variance for the number of correct answers is 2.8 questions

Step-by-step explanation:

The number of correct answers follows binomial distribution, in which we have:

  • n identical and independents events: the 15 questions
  • two possibles results that we call success and fail: The answer is correct and the answer is incorrect
  • probability p of success and 1-p of fail. Probability 1/4 of get the answer correct and probability of 3/4 of get the answer incorrect. This probabilities are calculated on that way because every question have 4 possible answers and one of which is correct.

So, the variance for a variable x that follows a Binomial distributions is:

V(x)=n*p*(1-p)

Then, the variance for the number of correct answers is:

V(x)=15*(1/4)*(3/4) = 2.8125 ≈ 2.8

Because n is equal to 15, p is equal to 1/4 and (1-p) is equal to 3/4.

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Please answer part B i really need it for my final T^T
timurjin [86]

Answer:

840cm²

Step-by-step explanation:

The two small triangle areas:

b × h / 2 = 12 × 5 = 60 / 2 = 30cm²

So two triangles would be 60cm²

Now, for the top rectangle:

b × h = 26 × 12 = 312cm²

The middle rectangle:

b × h = 26 × 13 = 338cm²

And the bottom last triangle:

b × h = 26 × 5 = 130cm².

Now to add them all: 60 + 312 + 338 + 130 = 840cm²

I advice you to just check to make sure the calculations were right! Good luck with the rest of your finals :)

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3 years ago
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Answer:

x² = y

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x² = y fit one input to one output property of function

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3 years ago
What is 751,447 rounded to the nearest hundred thousand
Gnesinka [82]
The answer is 800,000

4 0
3 years ago
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A study of 218 students at a major state university suggests a link between time spent on social networking websites and grade p
zheka24 [161]

Answer:

a) The study suggests a negative correlation because the study shows that as time spent on social networking websites Increases, grade point average tends to decrease.

b) While it is possible that there is a cause and effect relationship, it is not necessarily the case.

Step-by-step explanation:

Since the study submitted that, students who rarely never used social networking websites had higher grade point averages than students who use social networking websites. It implies a negative relationship. Thus, the option given above is the correct answer.

Similarly, the study might imply some cause and effect relationship but it is not necessarily to be the case. <em>That is, low grade point could result into more time with social networking website. </em><em>This is not necessary to be TRUE!</em>

4 0
3 years ago
Given w = 1 + i, what is arg (w) and |w|? Explain how you got your answer.
kirill [66]

Answer:

arg (w)=π/4 and  |w|=√2

Step-by-step explanation:

If z= x+iy is a complex number, then |z| is given by √ ( x²+y² ).

And the argument (z) is given by Ф = tan⁻¹ ( y/x ) where -π < x < π.

Now, in our case w= 1+i i.e. x=1 and y=1.

Therefore, arg (w) = tan⁻¹ (1/1) = π/4 and |w|=√ ( 1²+1² ) = √2 (Answer)

8 0
3 years ago
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