Kathy has 3/4 of a yard of fabric. She needs 3/10 of a yard for each doll dress she makes. How many doll dresses can she make?
1 answer:
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Answer:
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- <u>a) 3/7</u>
- <u>b) 3/5</u>
Explanation:
The figure attached shows the <em>Venn diagram </em>for the given sets.
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<em><u>a) What is the probability that the number chosen is a multiple of 3 given that it is a factor of 24?</u></em>
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From the whole numbers 1 to 15, the multiples of 3 that are factors of 24 are in the intersection of the two sets: 3, 6, and 12.
There are a total of 7 multiples of 24, from 1 to 15.
Then, there are 3 multiples of 3 out of 7 factors of 24, and the probability that the number chosen is a multiple of 3 given that is a factor of 24 is:
- 3/7
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<em><u>b) What is the probability that the number chosen is a factor of 24 given that it is a multiple of 3?</u></em>
The factors of 24 that are multiples of 3 are, again, 3, 6, and 12. Thus, 3 numbers.
The multiples of 3 are 3, 6, 9, 12, and 15: 5 numbers.
Then, the probability that the number chosen is a factor of 24 given that is a multiple of 3 is:
- 3/5
Answer: The value of the center increases and the distribution has a smaller spread.
Step-by-step explanation:
Re - arranging the first value in ascending order , we have :
12 ,14, 16 , 19, 21 , 22 , 28 , 32
Median = 19 + 21 / 2
= 40/2
= 20
Also calculating the standard variation in order to know the spread , we need to first of all calculate the mean
Mean = 12 + 14 + 16 + 19 + 21 + 22 + 28 + 32 / 8
Mean = 164/8
Mean = 20.5
Therefore to calculate the standard deviation, we need to calculate the variance, which is
+
+
+
+
+
+
+
/ 8
Variance = 328/8
Variance = 41
Standard deviation =
S.D =
S.D = 6.4
Also re arranging the second values , we have :
20 , 24 , 25 , 31
Median = 24 + 25 / 2
Median = 49/2
Median = 24.5
Calculating the S.D using the same format , the S.D = 3.9
Comparing the two we can conclude that the value at the center increases and the distribution has a smaller spread