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Amanda [17]
3 years ago
5

Nagaraj has a party length sandwich that is 56 inches long and is to be cut into three pieces. The middle piece will be 6 inches

longer than the shortest piece, and the shortest piece will be 8 inches shorter than the longest piece. How long will the pieces be?
Mathematics
1 answer:
aliina [53]3 years ago
7 0
X shortest piece
X+6 middle piece
X+8 longest piece
Add them
3x+14=56
3x=42
X=42/3=14
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Expand &amp; simplify:<br> (x - 1 )(x - 1)
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Answer:

x^2 -2x+1

Step-by-step explanation:

(x - 1 )(x - 1)

FOIL

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x^2 -1x-1x+1

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genetic experiment with peas resulted in one sample of offspring that consisted of green peas and yellow peas. a. Construct a ​%
Andreas93 [3]

Complete Question

A genetic experiment with peas resulted in one sample of offspring that consisted of 432 green peas and 164 yellow peas. a. Construct a 95% confidence interval to estimate of the percentage of yellow peas. b. It was expected that 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not 25%, do the results contradict expectations?

Answer:

The  95%  confidence interval is  0.2392  <  p < 0.3108

No, the confidence interval includes​ 0.25, so the true percentage could easily equal​ 25%

Step-by-step explanation:

From the question we are told that

  The total sample size is  n  =  432 + 164 =596

   The  number of  offspring that is yellow peas is y =  432

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The sample proportion for offspring that are yellow peas is mathematically evaluated as

        \r p  =  \frac{ 164 }{596}

        \r p  =  0.275

Given the the  confidence level is  95% then the level of significance is mathematically represented as

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      Z_{\frac{\alpha }{2} } = 1.96

Generally the margin of error is mathematically evaluated as

        E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\r p (1- \r p )}{n} }

=>      E = 1.96 * \sqrt{\frac{0.275 (1- 0.275 )}{596} }

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6 0
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