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Irina-Kira [14]
2 years ago
15

In a group of 31 pupils, 4 play the flute only. 14 play the piano only. 7 play neither instrument. A student is selected at rand

om. What is the probability the student plays both instruments?
Mathematics
2 answers:
astra-53 [7]2 years ago
8 0
<h3>Solution:</h3>

<u>Note that:</u>

  • Total pupils: 31
  • 4 pupils = flute only
  • 14 pupils = piano only
  • 7 pupils = neither
  • This means that {31 - (4 + 14 + 7)} pupils play both instruments.

<u>First, let's find out the number of pupils who play both instruments.</u>

  • => {31 - (4 + 14 + 7)} pupils
  • => {31 - (25)} pupils
  • => {31 - 25} pupils
  • => 6 pupils

<u>Probability form:</u><em> Student who plays both instruments/Total students</em>

  • => 6/31

The probability that this student plays both instruments is 6/31.

solmaris [256]2 years ago
7 0

Answer:

probability the student plays both instruments is [  \frac{6}{31}  ]

<h2>                         <u>Explanation</u>:</h2>

students who play both instruments = total students - flute players - piano players - students who play neither instruments

students who play both instruments

→ 31 - 4 - 14 - 7

→ 6 students play both instruments.

probability:

<h2>→  \boxed{\frac{students- who -play- both- instruments}{total -students} }</h2><h2>→                     \boxed{\frac{6}{31} }</h2>
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Answer:

n =7 or n = -17/3

Step-by-step explanation:

10 - |3n - 2| = -9  (subtract 10 from both sides)

- |3n - 2| = -9 - 10

- |3n - 2| = -19   (multiply both sides by -1)

|3n - 2| = 19

(3n - 2) = 19 or (3n - 2) = -19

For (3n - 2) = 19,

3n - 2 = 19

3n = 21

n =7 (answer)

For (3n - 2) = -19,

3n - 2 = -19

3n = -17

n = -17/3 (answer)

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2 years ago
Diego pours 6.8 ounces of water from a full bottle. He estimates that he poured out 20% of the water in the bottle. About how mu
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Answer:

Full bottle can fill 34 ounces water and 27.2 ounces left in the bottle

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Five years ago the population of the UK was 64.1 million. It has grown by 400 000. What is the population of the UK now?
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You are constructing a concrete landing pad for a helicopter. You have 4704 cubic feet of concrete.
MAVERICK [17]

a) We have to calculate the height of the pad.

We know that the volume will be 4704 cubic feet.

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As the volume is the area of the base times the height, we can find the height by dividing the volume by the base area:

\begin{gathered} V=A_b\cdot h \\ h=\frac{V}{A_b}=\frac{4704\text{ ft}^3}{(56\text{ ft})^2}=\frac{4704}{3136}\text{ ft}=1.5\text{ ft} \end{gathered}

The height is 1.5 feet.

b) Now, we have a circular pad of which we know the height (1.5 feet) and the volume (4705 ft³). The area of the base will have to be the same as the are of the square: 3136 ft².

The area of this circular pad can be expressed as πD²/4, so we can calculate the diameter D as:

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The diameter is approximately 63.21 feet.

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