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ludmilkaskok [199]
3 years ago
10

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

ay, and of the 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?a. 2/5b. 1/2c. 3/5d. 3/4
Mathematics
2 answers:
S_A_V [24]3 years ago
7 0

Answer:

Step-by-step explanation:

kotykmax [81]3 years ago
5 0
<span>it all looks confusing when we try to juggle with all those numbers in the head. The problem can be solved systematically by constructing a contingency table.
 </span>role/gender B G total
 speaking...... 4 4 8
<span> silent............ 4 8 12
 total............. 8 12 20
 </span>Probability of a child having a speaking part is therefore
 (4+4)/20=8/20=2/5
  a. 2/5
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Step-by-step explanation:

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Which statement is true about the extreme value of the given quadratic equation? y = -3x2 + 12x − 33
Zina [86]

Answer:

The equation has a maximum value with a y-coordinate of -21.

Step-by-step explanation:

Given

y =-3x^2 + 12x - 33

Required

The true statement about the extreme value

First, write out the leading coefficient

Leading = -3

-3 < 0 means that the function would be a downward parabola;

Downward parabola always have their vertex on top of the parabola and as such, the function has a maximum value.

The maximum value is:

x = -\frac{b}{2a}

Where:

a= -3; b =12; c =-33

So, we have:

x = -\frac{12}{2 * -3}

x = -\frac{12}{-6}

x =2

Substitute x =2 in y =-3x^2 + 12x - 33

y = -3*2^2 + 12 * 2 - 33

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never [62]

Answer:

y=22.5x

Step-by-step explanation:

we have that

The scale drawing is

\frac{1}{22.5}\frac{cm}{cm}

we know that

Using proportion find out the actual dimensions of the volleyball court

Let

x -----> drawing court lengths in cm

y ----> court lengths in cm

For x=40 cm

\frac{1}{22.5}\frac{cm}{cm}=\frac{40}{y}\frac{cm}{cm}\\\\y=40*22.5\\\\y=900\ cm

For x=80 cm

\frac{1}{22.5}\frac{cm}{cm}=\frac{80}{y}\frac{cm}{cm}\\\\y=80*22.5\\\\y=1,800\ cm

Find the equation for the proportional relation ship between drawing court lengths x in centimeters and court lengths in y centimeters

 A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

For x=40 cm, y=900

substitute

k=y/x -----> k=900/40=22.5

The equation is

y=22.5x

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jek_recluse [69]

Answer: x=8

Step-by-step explanation:

Since we are given that ∠ABC and ∠DBC are complementary angles, we know that adding them together should give us 90°. We can use this to solve for x.

6x+13+4x-3=90         [combine like terms]

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Now, we know that x=8.

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