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Annette [7]
4 years ago
10

Mason plays a game by flipping two fair coins.He wins the game if both coins land facing heads up. If Mason plays 200 times, how

many times should he expect to win? Explain .
Mathematics
1 answer:
blagie [28]4 years ago
7 0

Answer:

Therefore Mason would be expected to win 50 times.

Step-by-step explanation:

i) probability of flipping a head for a fair coin is \frac{1}{2}

ii) probability of flipping two fair coins is = \frac{1}{2} \times \frac{1}{2}  = \frac{1}{4}

iii) Therefore if Mason plays 200 times he would be expected to win

    = \frac{1}{4} \times 200 =  50\hspace{0.1cm} times.

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Step-by-step explanation:

A variable can be classified as qualitative or quantitative.

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Quantitative:

When the possible values of the variables are numbers, for example 1, 2, 1000,....

In this question:

The price of a computer is a numeric value, so it is a quantitative variable.

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3 0
3 years ago
You have been told that you need $21,600 today in order to have $100,000 when you retire 42 years from now. what rate of interes
Savatey [412]
You will have to use this formula:
<span>log(1 + rate) = {log(total) -log(Principal)} ÷ Years
</span>log(1 + rate) = {log(100,000) -log(21,600)} <span>÷ </span><span>Years
</span>log(1 + rate) = { 5 -4.3344537512} / Years
log(1 + rate) = <span> <span> <span> { 0.6655462488} / 42
</span></span></span>log(1 + rate) = <span> <span> <span> 0.0158463393 </span> </span> </span>
1 + rate = 10^<span> <span> 0.015846339
</span></span><span>1 + rate = </span>1.0371613856
rate = .0371613856<span>
rate = </span><span>3.71613856%

</span>************************************************************************
Double-Check
Total = principal * (1 +rate)^years
Total = 21,600 * (<span>1.0371613856)^42
</span> <span>Total = 21,600 * </span> <span> <span> <span> 4.6296296291 </span> </span> </span> <span><span> </span> </span> 
Total = 100,000

Correct !!


5 0
3 years ago
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