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3 years ago

Verifya x (b+c) = a x b + a x c for a =-1/6 b=4/7 c=-2/5

Mathematics

1 answer:

SVETLANKA909090 [29]3 years ago

3 0

Step-by-step explanation:

✓(-1/6×4/7)+(-1/6×-2/5)

✓(-4/42)+(2/30)

✓(-2/21)+(1/15)

✓(-2/21+1/15)

=-<u>1/35</u>

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An urn contains 5 white and 10 black balls. A fair die is rolled and that number of balls is randomly chosen from the urn. What

galina1969 [7]

Answer:

Part A:

The probability that all of the balls selected are white:

$P(A)=\frac{1}{6}(\frac{1}{3}+\frac{2}{21}+\frac{2}{91}+\frac{1}{273}+\frac{1}{3003}+0)\\ P(A)=\frac{5}{66}=0.075757576$

Part B:

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

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

Step-by-step explanation:

A is the event all balls are white.

D_i is the dice outcome.

Sine the die is fair:

$P(D_i)=\frac{1}{6}$ for i∈{1,2,3,4,5,6}

In case of 10 black and 5 white balls:

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

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

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

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

$P(A|D_5)=\frac{5_{C}_5}{15_{C}_5} =\frac{1}{3003}=\frac{1}{3003}$

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

Part A:

The probability that all of the balls selected are white:

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

$P(A)=\frac{1}{6}(\frac{1}{3}+\frac{2}{21}+\frac{2}{91}+\frac{1}{273}+\frac{1}{3003}+0)\\ P(A)=\frac{5}{66}=0.075757576$

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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3 years ago

How long will it take you to drive 175 miles of 25 miles per hour

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So if you're driving 25 miles per hour, it would take you 7 hours to drive 175 miles. 175 miles ÷ 25 miles = 7 hours.

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Does anyone know the answer to both of these questions????

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Answer:

c d

Step-by-step explanation:

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3 years ago

Eddie ended round one of a game show with 800 points. In round two, he scored -400 points

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Answer:

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Please please help me with this please

ziro4ka [17]

Answer:

y + 20 = 9(x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the lie

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, - 20) and (x₂, y₂ ) = (9, 79)

m = $\frac{79+20}{9+2}$ = $\frac{99}{11}$ = 9

Using (a, b) = (- 2, - 20), then

y - (- 20) = 9(x - (- 2)), that is

y + 20 = 9(x + 2)

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3 years ago

Verifya x (b+c) = a x b + a x c for a =-1/6 b=4/7 c=-2/5​

Verifya x (b+c) = a x b + a x c for a =-1/6 b=4/7 c=-2/5