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3 years ago

Solve for X.........

Mathematics

2 answers:

Nesterboy [21]3 years ago

7 0

Answer:

x= 13

Step-by-step explanation:

Inscribed Angle =1/2 Intercepted Arc

30= 1/2 (5x-5)

Multiply each side by 2

60 = 5x-5

Add 5 to each side

65 = 5x

Divide by 5

13 =x

Morgarella [4.7K]3 years ago

5 0

Answer:

Hey there!

There is this equation, which states that the angle created by an inscribed angle is half the measure of the arc.

Thus, we can write: 60=5x-5

65=5x

x=13

Let me know if this helps :)

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A is the event all balls are white.

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$P(A|D_1)=\frac{5_{C}_1}{15_{C}_1} =\frac{5}{15}=\frac{1}{3}$

$P(A|D_2)=\frac{5_{C}_2}{15_{C}_2} =\frac{10}{105}=\frac{2}{21}$

$P(A|D_3)=\frac{5_{C}_3}{15_{C}_3} =\frac{10}{455}=\frac{2}{91}$

$P(A|D_4)=\frac{5_{C}_4}{15_{C}_4} =\frac{5}{1365}=\frac{1}{273}$

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$P(A|D_6)=\frac{5_{C}_6}{15_{C}_6} =0$

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$P(A)=\sum^6_{i=1} P(A|D_i)P(D_i)$

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Part B:

The conditional probability that the die landed on 3 if all the balls selected are white:

We have to find $P(D_3|A)$

The data required is calculated above:

$P(D_3|A)=\frac{P(A|D_3)P(D_3)}{P(A)}\\ P(D_3|A)=\frac{\frac{2}{91}*\frac{1}{6}}{\frac{5}{66} } \\P(D_3|A)=\frac{22}{455}=0.0483516$

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