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2 years ago

How many ways can 5 basketball players be listed in order in a program?

Mathematics

1 answer:

Ainat [17]2 years ago

6 0

Answer:

B. 120.

Step-by-step explanation:

That would be 5! ( 5 factorial).

5! = 5*4*3*2*1

= 120.

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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:

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

7 0

2 years ago

Negative 3 is twice as large as a number,h

alina1380 [7]

Answer:

negative 6 is the answer

Step-by-step explanation:

8 0

3 years ago

Notation scientifique de 40075017

Temka [501]

Answer:

4.0075017*10^7

Step-by-step explanation:

move the decimal place left 7

5 0

2 years ago

Find the volume of the prism.

Zigmanuir [339]

Answer:

The correct answer is first option. 270 m³

Step-by-step explanation:

Formula:

Volume of prism = Base area * Height

Area of triangle = bh/2 where b - base and h - height

From the figure we can see that height of prism = 36 m

Base is a right angled triangle with base 5 m and height = 3 m

<u>To find the Base area</u>

Area of triangle = bh/2 = (3 * 5)/2 = 15/2 = 7.5

<u>To find the volume of prism</u>

Volume = Base area * height = 7.5 * 36 = 270 m³

Therefore the correct answer is first option . 270 m³

7 0

2 years ago

Read 2 more answers

7)Twice a number when decreased by 7 gives 45. Find the number.

kirza4 [7]

Isn’t it 26... cuz 26x2 is 52 then subtract 7 which is 45

4 0

2 years ago