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34kurt
2 years ago
7

What is the justification for each step in the solution of the equation?

Mathematics
1 answer:
podryga [215]2 years ago
7 0

Here are the following justifications:

Given: -2 (x-1) +12=4x-6


Distribute property = -2x+2+12=4x-6


Combine like terms= -2x+14=4x-6

 

Transpose = -2x = 4x – 20

 

Addition or Subtraction Property of Equality = -6x = -20

 

Division property of equality = x = 20/6

 

Simplify = x = 10/3

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Answer:

so you can make both your dividend and your divisor equal so you can divide

Step-by-step explanation:

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1 year ago
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Betty's bite-size candies are packaged in bags. The number of candies per bag is normally distributed, with a mean of 50 candies
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47 = 50 - 3   or:
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2 years ago
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In a survey of men aged 20-29 in a certain country, the mean height is 73.4 inches with a standard deviation of 2.7 inches. Find
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Answer:

The minimum height in the top 15% of heights is 76.2 inches.

Step-by-step explanation:

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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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\mu = 73.4, \sigma = 2.7

Find the minimum height in the top 15% of heights.

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

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2 years ago
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Step-by-step explanation:

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Tony wants to plant no more than 400 acres of corn and soybeans. He earns $300 per acre of soybeans and $200 for corn. He needs
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In this item, we let x be the number of corns and Y represent soybeans. The sum of these variables is 400. This is represented by the equation,
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