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OverLord2011 [107]
3 years ago
8

A lumber yard has five different lengths of 2 by 4 boards. Based on cost per linear foot, which is the best deal available on 2

by 4 boards at this lumber yard?
Mathematics
1 answer:
ExtremeBDS [4]3 years ago
3 0

Complete Question:

Here is the complete question:

<em>A lumber yard has five different lengths of 2 by 4 boards. Based on cost per linear foot, which is the best deal available on 2 by 4 boards at this lumber yard?</em>

<em>2 × 4 BOARD PRICES </em>

<em>8 foot board for $2.95 </em>

<em>10 foot board for $3.15 </em>

<em>12 foot board for $4.10 </em>

<em>16 foot board for $5.80 </em>

<em>20 foot board for $6.95</em>

Step-by-step explanation:

  • 8 foot board for $2.95

         \frac{2.95}{8}= 0.36875

  • 10 foot board for $3.15

        \:\frac{3.15}{10}=0.315

  • 12 foot board for $4.10

        \frac{4.1}{12}=0.341

  • 16 foot board for $5.80

        \frac{5.8}{16}= 0.3625

  • 20 foot board for $6.95

        \frac{6.95}{20}= 0.3475

Therefore, <em>10 foot board for $3.15</em><em>  </em>is the best deal available on 2 by 4 boards at this lumber yard. It means  you should be able to get 1 board for $0.315 when you buy 10 boards.

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Answer:

A=400\ people

Step-by-step explanation:

we have

Q=600+\sqrt{A+41}

where

Q -----> is the daily output

A -----> is the number of people

For Q=621

Find the value of A

substitute and solve for A

621=600+\sqrt{A+41}

Subtract 600 both sides

621-600=\sqrt{A+41}

21=\sqrt{A+41}

squared both sides

21^{2} ={A+41}

441={A+41}

Subtract 41 both sides

441-41=A

Rewrite

A=400\ people

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Two cars get an oil change at the same service center. Each customer is charged a fee x (in dollars) for the oil change, plus y
ad-work [718]

Answer:

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Step-by-step explanation:

Each customer is charged a fee x (in dollars) for the oil change, plus y dollars per quart of oil used.

The oil change for the car that requires 5 quart of oil costs $22.45.

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The oil change for the car that requires 7 quarts of oil costs $25.45.

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Both equation having x

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Engineers must consider the diameters of heads when designing helmets. The company researchers have determined that the populati
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Answer:

1. The minimum head breadth that will fit the clientele is of 4.41-in.

2. The maximum head breadth that will fit the clientele is of 7.19-in.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

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X - 5.8 = -1.74*0.8

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The minimum head breadth that will fit the clientele is of 4.41-in.

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Z = \frac{X - \mu}{\sigma}

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X - 5.8 = 1.74*0.8

X = 7.19

The maximum head breadth that will fit the clientele is of 7.19-in.

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