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Alenkasestr [34]
2 years ago
6

In an experiment, a ball is drawn from an urn containing 12 purple balls and 13 green balls. If the ball is purple, two coins ar

e tossed. Otherwise three coins are tossed. How many elements of the sample space will have a purple ball? How many elements of the sample space are there altogether?
Mathematics
1 answer:
UNO [17]2 years ago
5 0

Answer:

4 elements of the sample space will have a purple ball

There are 10 elements altogether

Step-by-step explanation:

Probability is given by number of possible outcomes ÷ number of total outcomes

Number of purple balls = 12, number of green balls = 13, total number of balls = 12+13 = 25

Probability (a ball drawn is purple) = 12/25

If a purple ball is drawn, two coins are tossed

1 coin has 2 elements

2 coins have 2×2 = 4 elements

Probability (a ball drawn is not purple) = 1 - 12/25 = (25-12)/25 = 13/25

If a ball drawn is not purple, three coins are tossed

1 coin has 2 elements

3 coins have 3×2 = 6 elements

Total elements = 4 + 6= 10 elements

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The answer would be A.


3 0
3 years ago
10. When a rubber ball is dropped from a height, h cm on to a flat concrete floor, it rebounds to 3 5 h cm a height of Given a r
Xelga [282]

Step-by-step explanation:

Let the height above which the ball is released be H

This problem can be tackled using geometric progression.

The nth term of a Geometric progression is given by the above, where n is the term index, a is the first term and the sum for such a progression up to the Nth term is

To find the total distance travel one has to sum over up to n=3. But there is little subtle point here. For the first bounce ( n=1 ), the ball has only travel H and not 2H. For subsequent bounces ( n=2,3,4,5...... ), the distance travel is 2×(3/4)n×H

a=2H..........r=3/4

However we have to subtract H because up to the first bounce, the ball only travel H instead of 2H

Therefore the total distance travel up to the Nth bounce is

For N=3 one obtains

D=3.625H

7 0
2 years ago
Solve the following quadratic function<br> by utilizing the square root method.<br> y = 16 – x2
xxMikexx [17]

Answer:

The solutions are x = -4 and x = 4.

Step-by-step explanation:

Solving a quadratic equation:

We have to find x for which y = 0.

In this question:

y = 16 - x^2

So

16 - x^2 = 0

x^2 = 16

x = \pm \sqrt{16}

x = \pm 4

The solutions are x = -4 and x = 4.

3 0
3 years ago
The length of a rectangle is 3 times its width. If the length were increased by 2 inches and the width by 1 inch, the new perime
Dennis_Churaev [7]
Pretty sure it’s the second option because length would be 3w+2
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5 0
2 years ago
Read 2 more answers
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lubasha [3.4K]

Answer:

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Step-by-step explanation:

8 0
2 years ago
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