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lozanna [386]
3 years ago
7

A group incoming first-year students at Major University were surveyed in order to determine the factors that influenced their d

ecisions to choose to attend Major U. The survey revealed the following information. 55 said "great football team" (F) 51 said "excellent party reputation" (P) 61 said "it was the only place that would accept me" (O) 9 said "great football team" but didn't say "excellent party reputation" and didn't say "it was the only place that would accept me" 26 said "it was the only place that would accept me" and "great football team" and "excellent party reputation" 31 said "excellent party reputation" and "great football team" 8 said only "excellent party reputation" 4 said none of the above reasons Required:a. How many said "it was the only place that would accept me" and "excellent party reputation"? b. How many said "great football team "or "it was the only place that would accept me"? c. How many said "great football team "but no "excellent party reputation"? d. How many were surveyed?
Mathematics
1 answer:
Ray Of Light [21]3 years ago
5 0

Answer:

Step-by-step explanation:

This is a problem of SETS.

Start by listing out important data:

1. Total that said F = 55

2. Total that said P = 51

3. Total that said O = 61

4. F only = 9

5. F ∩ P ∩ O = 26 [NOTE: If you were to draw a Venn Diagram, 26 would be in the innermost circle because it comprises all three categories]

6. F ∩ P = 31

7. P only = 8

8. Students that said none of the 3 reasons = 4

QUESTIONS

1. How many said O and P? In other words, find the intersect of O and P. Find O ∩ P

2. How many said either F or O? [Answer to be gotten using a venn diagram] Find F ∪ P which translates to "F union P"

3. How many said F without saying P? [Answer to be gotten from the venn diagram as well]

4. How many students in total were surveyed? [HINT: Remember to include the 4 students that had none of the three options]

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2 years ago
At one time the aircraft is 150 m above the surface, the submarine is 25 m below the surface, and the underwater robotic vehicle
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Answer:

175 meter is  difference in height between the submarine and the aircraft

Step-by-step explanation:

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Solve the system of equations using multiplication. 3x – 3y = –3 5x – y = –13 What is the solution of the system?
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ANSWER

The solution is

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EXPLANATION

First equation

3x – 3y = –3

Second Equation:

5x – y = –13

Multiply the second equation by 3 to get:

Third equation:

15x-3y=-39

Subtract the first equation from the third equation:

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Divide both sides by 12,

x =  \frac{ - 36}{12}  =  - 3

Put x=-3 into the first equation:

3( - 3) - 3y =  - 3

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Group like terms,

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The solution is

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Answer:

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2 years ago
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