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xenn [34]
3 years ago
13

A group of students is researching the music choices of America's high school students. To conduct the survey they take a poll a

t a high school in downtown New York City. Will the results of this survey give the researchers a good indication of the music choices of America's youth? Why or why not?
A) Yes, students in New York City represent all of the students in the USA.
B) No, the students in the high school are not accustomed to being part of a survey.
C) Yes, students in New York City have the best taste in music so they would make a great sample group.
D) No, in order to get an accurate sample, researchers should survey students from various high schools in various states including urban, rural, public, and private.
Mathematics
2 answers:
Luden [163]3 years ago
4 0
No, in order to get an accurate sample, researchers should survey students from various high schools in various states including rural,urban,public and private
marusya05 [52]3 years ago
3 0

Answer:

D) No, in order to get an accurate sample, researchers should survey students from various high schools in various states including urban, rural, public, and private.

Step-by-step explanation:

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A test has 50 questions. each right answer is worth 2 points; each wrong answer deducts 0.5 points; blank answers are not counte
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ANSWER: There are 2 blank answers

 

EXPLANATION

 

Let

The number of right answers be ‘r’

The number of wrong answers be ‘w’

The number of blank answers be ‘b’

 

r + w + b = 50

This means r + w ≤ 50

 

Then we know,

Right answers = 2 marks

Wrong answers = -0.5 mark

Blank Answers = 0 marks

 

2r – 0.5w = 88.5

2r = 88.5 + 0.5w                               … (Equation I)                   

 

Since the score as .5, we know that there is at least one wrong answer, and the number of wrong answers is an odd number.

 

Since the score is 88.5, and each right answer gives 2 marks

There are at more than 44 (i.e. 88/2) right answers

 

Since r + w ≤ 50, and possible values of w are odd numbers

If r = 45, Possible values of w are 1, 3, and 5

If r = 46, Possible values of w are 1, 3

If r = 47, Possible values of w are 1, 3

If r = 48, The only possible value of w is 1

If r = 49,The only possible value of w is 1

 

 

Since 2r = 88.5 + 0.5w  (Equation I)

We test for possible values:

 

If r = 45

2r = 88.5 + 0.5w  

2(45) = 88.5 + 0.5w  

90 = 88.5 + 0.5w

0.5w = 90 – 88.5

0.5w = 1.5

w = 3

 

So,

If there are 45 right answers

There are 3 wrong answers

r + w + b = 50

45 + 3 + b = 50

48 + b = 50

b = 50 – 48

b = 2

Then, there are 2 blank answers.

 

If r = 46

2r = 88.5 + 0.5w

2(46) = 88.5 + 0.5w

92 = 88.5 + 0.5w

0.5w = 92 – 88.5

0.5w = 3.5

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So,

If there are 46 right answers

There are 7 wrong answers

We know that r + w ≤ 50

46 + 7 = 53

So 46 and higher numbers are not possible solutions.

 

The only possible solution is:

There are 45 right answers

There are 3 wrong answers

<span>There are 2 blank answers</span>

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