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anzhelika [568]
2 years ago
7

Four girls and six boys are in a Spanish club. Three of the people will be chosen at random to represent the group in a photogra

ph. What is the probability that one girl and two boys will be chosen? 40% 50% 60% 70%
Mathematics
2 answers:
Eddi Din [679]2 years ago
6 0

Answer:

50%

Step-by-step explanation:

snow_tiger [21]2 years ago
3 0

Answer:50 %

Step-by-step explanation:

Given

There are 4 girls and 6 boys in a club

Probability of choosing 1 girl and 2 boys is

=\dfrac{\text{No of ways of choosing 1 girl and 2 boys }}{\text{No of ways of choosing 3 member out of 10 member}}

No of ways of choosing 1 girl and 2 boys=^4C_1\times ^6C_2

P=\dfrac{^4C_1\times ^6C_2}{^{10}C_3}

P=\dfrac{4\times 15}{10\times 3\times 4}

P=\dfrac{15}{30}=\frac{1}{2}

i.e. 50\%

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dmitriy555 [2]

As the new mathematical operation is defined by a△b=a^2-b/b-a^2, the value of 4△3 using the same operation will be 4△3 = -1

As per the question statement, we are given a new mathematical operation a△b=a^2-b/b-a^2 and we are supposed to find the value of 4△3 using the same operation.

Given, a△b=a^2-b/b-a^2

now 4△3 = (4^2-3) / (3-4^2)  

4△3 = (16-3) / (3-16)        

4△3 = 13 / -13  

4△3 = -1

Hence, as the new mathematical operation is defined by a△b=a^2-b/b-a^2, the value of 4△3 using the same operation will be 4△3 = -1.

  • Mathematical operation: An operator in mathematics is often a mapping or function that transforms components of one space into elements of another.

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8 0
1 year ago
Please help me and show your work
morpeh [17]

Answer:

Step-by-step explanation:

y = 3x + 4

Plugin x = 3 in the equation,

y = 3*3 + 4

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y = 13

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y = 3*4 + 4

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y = 16

Plugin x = 5 in the equation,

y = 3*5 + 4

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y = 19

2) y =x - 7

Plugin x = 10 in the equation

y = 10 - 7

y = 3

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y = 15 - 7

y = 8

Plugin x = 20 in the equation

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y = 13

6 0
2 years ago
Match the parabolas represented by the equations with their vertices. y = x2 + 6x + 8 y = 2x2 + 16x + 28 y = -x2 + 5x + 14 y = -
GaryK [48]

Consider all parabolas:

1.

y = x^2 + 6x + 8,\\y=x^2+6x+9-9+8,\\y=(x^2+6x+9)-1,\\y=(x+3)^2-1.

When x=-3, y=-1, then the point (-3,-1) is vertex of this first parabola.

2.

y = 2x^2 + 16x + 28=2(x^2+8x+14),\\y=2(x^2+8x+16-16+14),\\y=2((x^2+8x+16)-16+14),\\y=2((x+4)^2-2)=2(x+4)^2-4.

When x=-4, y=-4, then the point (-4,-4) is vertex of this second parabola.

3.

y =-x^2 + 5x + 14=-(x^2-5x-14),\\y=-(x^2-5x+\dfrac{25}{4}-\dfrac{25}{4}-14),\\y=-((x^2-5x+\dfrac{25}{4})-\dfrac{25}{4}-14),\\y=-((x-\dfrac{5}{2})^2-\dfrac{81}{4})=-(x-\dfrac{5}{2})^2+\dfrac{81}{4}.

When x=2.5, y=20.25, then the point (2.5,20.25) is vertex of this third parabola.

4.

y =-x^2 + 7x + 7=-(x^2-7x-7),\\y=-(x^2-7x+\dfrac{49}{4}-\dfrac{49}{4}-7),\\y=-((x^2-7x+\dfrac{49}{4})-\dfrac{49}{4}-7),\\y=-((x-\dfrac{7}{2})^2-\dfrac{77}{4})=-(x-\dfrac{7}{2})^2+\dfrac{77}{4}.

When x=3.5, y=19.25, then the point (3.5,19.25) is vertex of this fourth parabola.

5.

y =2x^2 + 7x +5=2(x^2+\dfrac{7}{2}x+\dfrac{5}{2}),\\y=2(x^2+\dfrac{7}{2}x+\dfrac{49}{16}-\dfrac{49}{16}+\dfrac{5}{2}),\\y=2((x^2+\dfrac{7}{2}x+\dfrac{49}{16})-\dfrac{49}{16}+\dfrac{5}{2}),\\y=2((x+\dfrac{7}{4})^2-\dfrac{9}{16})=2(x+\dfrac{7}{4})^2-\dfrac{9}{8}.

When x=-1.75, y=-1.125, then the point (-1.75,-1.125) is vertex of this fifth parabola.

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y =-2x^2 + 8x +5=-2(x^2-4x-\dfrac{5}{2}),\\y=-2(x^2-4x+4-4-\dfrac{5}{2}),\\y=-2((x^2-4x+4)-4-\dfrac{5}{2}),\\y=-2((x-2)^2-\dfrac{13}{2})=-2(x-2)^2+13.

When x=2, y=13, then the point (2,13) is vertex of this sixth parabola.

3 0
3 years ago
1<br> What is the slope of the line through (-9,-6) and (3,-9)?
Setler [38]

Answer:

-2/3

Step-by-step explanation:

So the slope of the line that goes through the points  and  is m=3/2

Now flip the fraction and change the sign to get the answer -2/3

PLZ MARK AS BRAINLYEST

5 0
2 years ago
Read 2 more answers
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ivolga24 [154]
119/8 is already in simplest form. However, if you attempt to change it to a mixed number the correct answer would be 14 7/8 (7 over 8).

Hope I helped!
3 0
3 years ago
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