Answer:

Step-by-step explanation:
Given
Winning Percentage = 0.444 repeating
Required
Represent as a fraction
Represent the percentage with x

Convert to fraction

Next step, is to convert to fraction repeating
To do this, we simply subtract 1 from the denominator


Simplify to the lowest term: Divide numerator and denominator by 37


Simplify to the lowest term: Divide numerator and denominator by 3


Hence;
There winning fraction is 
The number of permutations of picking 4 pens from the box is 30.
There are six different unique colored pens in a box.
We have to select four pens from the different unique colored pens.
We have to find in how many different orders the four pens can be selected.
<h3>What is a permutation?</h3>
A permutation is the number of different arrangements of a set of items in a particular definite order.
The formula used for permutation of n items for r selection is:

Where n! = n(n-1)(n-2)(n-3)..........1 and r! = r(r-1)(r-2)(r-3)........1
We have,
Number of colored pens = 6
n = 6.
Number of pens to be selected = 4
r = 4
Applying the permutation formula.
We get,
= 
= 6! / 4!
=(6x5x4x3x2x1 ) / ( 4x3x2x1)
= 6x5
=30
Thus the number of permutations of picking 4 pens from a total of 6 unique colored pens in the box is 30.
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Just do 3^2 * 3^2 he is incorrect because he multiplied the exponents and he was suppose to add them together. the correct answer should be 3 to the 4th power which is 81
Exchange rate refers value of a currency in another.The cost of the decorative mug is 83.98 China Yuan.
<h3>What is the exchange rate?</h3>
The term exchange rate has to do with the value of a currency in another currency. Given the fact that international trade is the mainstay of the global economy, it is important that one currency should be converted to another for the purpose of the ease of doing business.
The dollar is often the international currency for trade. Its us always necessary to convert the dollar into the local currency of the country where the business is done using the correct exchange rate.
Now If I want to convert the cost of the decorative mug to China Yuan;
I already know that;
1 US dollar = 6.4651 China Yuan
12.99 US dollar = 12.99 US dollar * 6.4651 China Yuan/1 US dollar
= 83.98 China Yuan
Hence, the cost of the decorative mug is 83.98 China Yuan.
Learn more about exchange rate:brainly.com/question/22996931
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