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faust18 [17]
3 years ago
5

there are 20 children in the cast of a class play, and 8 of the children are boys. of the boys, 4 have speaking part in the play

, and of girls, 8 do not have a speaking part in the play. if a child from the cast of the play is chosen at random, what is the probability that the child has a speaking part?
Mathematics
1 answer:
ZanzabumX [31]3 years ago
7 0
I am not in a good name and it was just
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HELP LOOK AT THE PHOTO
Amanda [17]

\bf{Hello!}

The answer is 140°

Because we can use exterior angle property here

<u>Exter</u><u>ior</u><u> </u><u>angl</u><u>e</u><u> property</u><u> </u><u>:</u> It states that exterior angle is the sum of two opposite interior angles

y = 120 + 20 = 140°

6 0
3 years ago
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Given that α and β are the roots of the quadratic equation <img src="https://tex.z-dn.net/?f=2x%5E%7B2%7D%20%2B6x-7%3Dp" id="Tex
siniylev [52]

Answer:

\large \boxed{\sf \ \ \ p=-11 \ \ \ }

Step-by-step explanation:

Hello,

\alpha \text{ and } \beta \text{ are the roots of the following equation}

   2x^2+6x-7=p

It means that

   2\alpha^2+6\alpha-7=p \\\\2\beta ^2+6\beta -7=p \\\\

And we know that

\alpha= 2\cdot \beta

So we got two equations

   2(2\beta)^2+6\cdot 2 \cdot \beta -7=p \\\\8\beta^2+12\beta -7=p\\\\ and \ 2\beta ^2+6\beta -7=p \ So \\\\\\8\beta^2+12\beta -7 = 2\beta ^2+6\beta -7\\\\6\beta^2+6\beta =0\\\\\beta(\beta+1)=0\\\\ \beta =0 \ or \ \beta=-1

For \beta =0, \ \ \alpha =0, \ \ p = -7

For \beta =-1, \ \ \alpha =-2, \ \ p= 2-6-7=-11, \ p=2*4-12-7=-11

I assume that we are after two different roots so the solution for p is p=-11

b) \alpha +2 =-2+2=0 \ and \ \beta+2=-1+2=1

So a quadratic equation with the expected roots  is

x(x-1)=x^2-x

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

3 0
3 years ago
Find the equation of the line that passes through the points (-800, 200) and<br> (-400, 300)
alisha [4.7K]

The distance (d) between two points (x1,y1) and (x2,y2) is given by the formula

d = √  ((X2-X1)2+(Y2-Y1)2)

d = √ (-400--800)2+(300-200)2

d = √ ((400)2+(100)2)

d = √ (160000+10000)

d = √ 170000

The distance between the points is 412.310562561766

The midpoint of two points is given by the formula

Midpoint= ((X1+X2)/2,(Y1+Y2)/2)

Find the x value of the midpoint

Xm=(X1+X2)/2

Xm=(-800+-400)/2=-600

Find the Y value of the midpoint

Ym=(Y1+Y2)/2

Ym=(200+300)/2=250

The midpoint is: (-600,250)

Graphing the two points, midpoint and distance

P1 (-800,200)

P2 (-400,300)

Midpoint (-600,250)

The length of the black line is the distance between the points (412.310562561766)

6 0
3 years ago
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Solve for y. 2/3 + y - 4/5 = 1/3 Enter your answer in the box. y =
erica [24]
<span>2/3 + y - 4/5 = 1/3
         y = 1/3 - 2/3 + 4/5
         y = -1/3 + 4/5
         y =-5/15 + 12/15
         y = 7/15</span>
3 0
3 years ago
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Help. Lol 6th grade math.
balu736 [363]

Answer:

The first one is howard and the second one is peter

Step-by-step explanation:

Howard is at a higher elevation because he is above the sea level.

Peter is further from sea level because he is 1.1 meters away, whereas Howard is only 0.8 meters away.

5 0
2 years ago
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