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GaryK [48]
3 years ago
12

Solve the equation. Check for extraneous answers

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
7 0
The answer is A i hope this helps 
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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
solmaris [256]

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>
7 0
2 years ago
Read 2 more answers
Please help 60 points!!
Katen [24]

Answer:

The answer to your question is FJ = 18

Step-by-step explanation:

Data

FG = 30

FH = 12

HE = 8

JH ║GE

These triangles are similar, so we can use proportions to find the length of FJ.

                            \frac{FJ}{FH} = \frac{FG}{FH + HE}

Substitution

                          \frac{FJ}{12} = \frac{30}{12 + 8}

Simplification

                         \frac{FJ}{12} = \frac{30}{20}

Solve for FJ

                        FJ = 12 \frac{30}{20}

Result

                        FJ = 18

4 0
3 years ago
Read 2 more answers
Write the complex number -2+2i in polar form
FromTheMoon [43]
For polar form you need to find the modulus (length of the vector) and the argument (angle of the vector) and present in form rcis(Arg) or re^Argi

start with the modulus r=sqrt(a^2 +b^2)
                                     =sqrt(-2^2 +2^2)
                                     = sqrt(4+4)
                                     =sqrt(8)
                                     =2sqrt(2)

next the argument, firstly arg=tan(b/a)
                                              = tan(2/2)
                                              =tan(1)
                                             =pi/4 .     (exact values table)
Now consider the quadrant the complex number is in, as it is (-2,2) it is in the second quadrant and as such your Arg value is:
Arg=pi-arg
     = pi-pi/4
     = 3pi/4

add it all together and your complex number in polar form is:
2sqrt2cis(3pi/4)

note: cis is short hand for cos(x)+isin(x), it is possible your tutor would rather you use the complex exponential form which is simply re^Argi and your answer would look like:
2sqrt2e^(3pi/4)i

Also notice the difference between arg and Arg as this often slips students up and always present Arg in prinicple argument form ie -pi<Arg<pi

Hopefully this has been clear enough and good luck

8 0
2 years ago
Which parent function is represented by the table?
Alinara [238K]

Answer:A

Explanation:

4 0
3 years ago
In a basketball game, the two teams scored a total of 210 points. the home team won by 20 points how many points did the home te
Natasha2012 [34]

Answer:

105

Step-by-step explanation:


6 0
2 years ago
Read 2 more answers
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