Answer:
25
Step-by-step explanation:
percentage calculator 40 is what percent of 160=25;)
Answer: The tenth term is 76
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Explanation:
We use this arithmetic sequence formula to get the nth term

Plug in
and you should get the following:

The tenth term is <u>76</u>
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We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.

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In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in
which shifts everything one spot to the left.
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Define x:
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Let the shorter piece be x.
Shorter piece = x
Longer piece = 6x
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Construct equation:
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x +6x =35
7x = 35
x =5
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Find the length:
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Shorter length = x = 5 feet
Larger length = 6x = 6(5) = 30 feet
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Answer: The shorter piece is 5 feet.
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Answer:
0.114,0.5263
Step-by-step explanation:
Given that a firm buys components from two suppliers:
A : 60% Defective 9%
B:40% Defective 15%
a) the probability that the next component the firm buys is defective
=prob purchased from A and defective + prob purchased from B and defective
= 
b) the probability that the component that the firm buys is from supplier B if we know that it is defective
=Prob from B and defective/Prob defective
= 