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Pachacha [2.7K]
3 years ago
11

Need urgent help if possible

Mathematics
2 answers:
andrew-mc [135]3 years ago
8 0

Answer:

There was a mistake in line D

Citrus2011 [14]3 years ago
4 0
<h3>Answer:   Line D</h3>

===========================================================

Explanation:

Note in the previous line C that Noah multiplied both sides by 5. This is to clear out the fractions, since each have a denominator of 5.

In line D, Noah only multiplied those outer '5's by the first term in each parenthesis group. He didn't use the distributive property correctly.

The distributive property is a*(b+c) = a*b+a*c.

The 'a' is multiplied to everything inside, which are the terms b and c.

-------------------------------

Here are what the steps should look like from line D and onward. Take note of the 30 and 100. This is from 5*6 = 30 and 5*20 = 100.

  • D) 7*14 - 30 = 12*14 - 100
  • E) 98 - 30 = 168 - 100
  • F) 68 = 68

We end up with the same thing on both sides. So this confirms that x = 14/5 is the solution to the original equation.

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Read 2 more answers
Listed below are prices in dollars for one night at different hotels in a certain region. Find the​ range, variance, and standar
Artyom0805 [142]

Answer:

Range = 115$

Standard Deviation = 43.76$

Variance = 1915.142$

Option  A) The measures of variation are not very useful because when searching for a​ room, low​ prices, location, and good accommodations are more important than the amount of variation in the area.

Step-by-step explanation:

We are given the data for  prices in dollars for one night at different hotels in a certain region.

234, 160, 119, 131, 218, 207, 146, 141        

Range:

Sorted data: 119, 131, 141, 146, 160, 207, 218, 234

\text{Range} = 234-119 = 115\$

Standard Deviation:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{1356}{8} = 169.5

Sum of squares of differences = 4160.25 + 90.25 + 2550.25 + 1482.25 +  2352.25 + 1406.25 + 552.25 + 812.25 = 13406

\sigma = \sqrt{\dfrac{13406}{7}} = 43.76\$

Variance =

\sigma^2 = 1915.142\$

Measure of variance for someone searching for room:

Option  A) The measures of variation are not very useful because when searching for a​ room, low​ prices, location, and good accommodations are more important than the amount of variation in the area.

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