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xz_007 [3.2K]
4 years ago
9

A clothing store has one floor devoted to sweaters. Ninety percent of the sweaters are wool. If the probability that a sweater i

s a black wool sweater is .63, what percent of the wool sweaters are black?
A.27%
B.50%
C.70%
D.90%
E. None of the above
Mathematics
1 answer:
larisa [96]4 years ago
4 0

Answer:

27%

Step-by-step explanation:

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Step-by-step explanation:

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A spinner is divided into many different color sectors. Some sectors are larger than others. The spinner was spun 300 times. The
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Solutions 

We know that <span>a spinner was divided into many different color sectors. Some sectors are larger than others. The spinner was spun 300 times. The results were tallied up and were written in a table. 

</span><span>Red:93

Blue:59

Green:105

Yellow:43
</span>
The spinner landed the highest on green. To find <span>the probability that the next spin will land on green we have add all the numbers and simplify them.  

93 + 59 + 105 + 43 = 300 

Out of 300 the spinner landed to green 105 times. We have the fraction 105/300. 

105/300 can be reduced. To reduce the fraction we need to the GCF of 105 and 300. The GCF is 15. 

</span>We can reduce the fraction by dividing the numerator and denominator by the GCF = 15. 

105 ÷ 15 = 7 

300 ÷ 15 = 20 

Our new fraction is 7/20 

The <span>probability that the next spin will land on green is 7/20. 
</span>≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
<span>
To get the answer to part (B) we have to add the results of red and green then simplify. 

93 + 105 = 198 

The fraction is 198/300. </span><span>198/300 can be reduced. To reduce the fraction we need to the GCF of 105 and 300. The GCF is 6. 

</span>We can reduce the fraction by dividing <span>the numerator and denominator by the GCF = 6.

</span>198 ÷ 6 = 33

300 ÷ 6 = 50<span>

The new fraction is 33/50 

</span>The probability that the next spin will land on either green or red is <span>33/50. 
</span>
Hope this helps 
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