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3 years ago

Construction of quadrilateral

Mathematics

1 answer:

maksim [4K]3 years ago

8 0

Answer:

only construction

Step-by-step explanation:

it must have 4 sides

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Y=2x+7<br> y−2x=7<br> how many solutions does it have

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Use the following function rule to find f(9).<br> f(x) = x + 8<br> f(9) =

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A probability model includes P(red) = 27 2 7 and P(blue) = 314 3 14 . Which of the following probabilities could complete the mo

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Answer:

$(b)\ P(Green) = \frac{3}{8} ; P(Yellow) = \frac{1}{8}$

$(c)\ P(Green) = \frac{1}{4} ; P(Yellow) = \frac{1}{4}$

Step-by-step explanation:

Given

$P(Red) = \frac{2}{7}$

$P(Blue) = \frac{3}{14}$

Required

Which completes the model

Let the remaining probability be x.

Such that:

$P(Red) + P(Blue) + x = 1$

Make x the subject

$x = 1 - P(Red) - P(Blue)$

So, we have:

$x = 1 - \frac{2}{7} - \frac{3}{14}$

Solve

$x = \frac{14 - 4 - 3}{14}$

$x = \frac{7}{14}$

$x = \frac{1}{2}$

This mean that the remaining model must add up to 1/2

$(a)\ P(Green) = \frac{2}{7} ; P(Yellow) = \frac{2}{7}$

$P(Green) + P(Yellow)= \frac{2}{7} + \frac{2}{7}$

Take LCM

$P(Green) + P(Yellow)= \frac{2+2}{7}$

$P(Green) + P(Yellow)= \frac{4}{7}$

This is false because: $\frac{4}{7} \ne \frac{1}{2}$

$(b)\ P(Green) = \frac{3}{8} ; P(Yellow) = \frac{1}{8}$

$P(Green) + P(Yellow)= \frac{3}{8} + \frac{1}{8}$

Take LCM

$P(Green) + P(Yellow)= \frac{3+1}{8}$

$P(Green) + P(Yellow)= \frac{4}{8}$

$P(Green) + P(Yellow)= \frac{1}{2}$

This is true

$(c)\ P(Green) = \frac{1}{4} ; P(Yellow) = \frac{1}{4}$

$P(Green) + P(Yellow)= \frac{1}{4} + \frac{1}{4}$

Take LCM

$P(Green) + P(Yellow)= \frac{1+1}{4}$

$P(Green) + P(Yellow)= \frac{2}{4}$

$P(Green) + P(Yellow)= \frac{1}{2}$

This is true

Other options are also false

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Construction of quadrilateral​

Construction of quadrilateral