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3 years ago

Find the difference. Simplify completely. Please show work.1. 7/9 - 3/8 2. 5 4/5 - 2 1/4

Mathematics

1 answer:

fenix001 [56]3 years ago

4 0

1. 7/9 - 3/8 = (7·8 - 9·3)/(9·8) = (56 -27)/72 = 29/72

2. (5 4/5) - (2 1/4) = (5 - 2) + (4/5 - 1/4) = 3 + (4·4 -5·1)/(5·4) = 3 11/20

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(a/b) -(c/d) = (ad -bc)/(bd) . . . . a useful formula to remember when working problems like this. It is equivalent to multiplying the first fraction by d/d and the second one by b/b to get a common denominator of bd. Of course if the second fraction is added instead of subtracted, the sign changes in both places.

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Step-by-step explanation:

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$\frac{1-0.95}{2} = \frac{0.05}{2} = 0.025$

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 95 and 0.025 in the t-distribution table, we have $T = 1.9855$ .

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

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For the lower end of the interval, we subtract the mean by M. So $19.6 - 1.31 = 18.29$

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4 years ago

After dividing a piece of wood into four equal sections,each section is 4 in.long.How long was the piece of wood I started with

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3 years ago