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notsponge [240]
3 years ago
5

You buy 1 1/4 yards of fabric and an $8 clothing pattern. Your total cost with a 6% sales tax added is $18.55. What is the cost

per yard of the fabric?
Mathematics
1 answer:
Paraphin [41]3 years ago
8 0
First we can divide it by 106 then multiply it by 100 to get rid of the 6% sales tax, which now the cost of the stuff is $17.50. 
Next, we subtract 8 from this to represent the clothing pattern cost. Now it is $9.50.
The last stap to this is to divide it by 1 1/4 to get the final cost per yard: 
The fabric costs $7.60 per yard. Hope this helps!
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135 UB students were surveyed and asked how many hours a week they spent studying. The results are in the table below?
lesya692 [45]

Answer:

B) 11/27 ; c.) 5/27; D.) 17/27; E.) 3/13 ; F) 5/9

Step-by-step explanation:

- - - - - <5hrs - - (5 - 10hrs) - - (>10 hrs) - - Total

Male (M) 25 - - - - -- 25 - - - - - 20 - - - - 70

Female (F) 20 - - - - - - 30 - - - - - 15 - - - - 65

Total - - - 45 - - - - - - 55 - - - - - 35 - - - - 135

Probability = (required outcome / Total possible outcomes)

B) probability that a student studied(5 - 10 hours)

P(5 to 10 hours) = n(5 - 10 hours) / n(total) = 55/135 = 11/27

C) Find the probability that a student is a male and spends less than 5 hours studying

P(male and < 5 hours) = n(male ∩> 5 hours) / n(total) = 25/135 = 5/27

D) Find the probability that a student is a female or spends more than 10 hours studying.

P(female) + P(> 10hours) - P(Female ∩ > 10 hours) = 65/135 + 35/135 - 15/135 = 85/135 = 17/27

E.) Find the probability that a student spends more than 10 hours studying given that the student is a female?

n(Female ∩ > 10 hours) / n(Female)

15/65 = 3/13

F) Find the probability that a student is a male given that he spends less than 5 hours studying

n(male ∩ < 5hrs) / n(< 5 hours) = 25/ 45 = 5/9

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Which equation is equivalent to 3 (5x – 4) = 2 (7x)? A. 5x - 4 = 142
KonstantinChe [14]

Step-by-step explanation:

3(5x - 4) = 2(7x)

=> 15x - 12 = 14x

=> x = 12

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