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drek231 [11]
3 years ago
11

Ten experts rated a newly developed chocolate chip cookie on a scale of 1 to 50. Their ratings were: 34, 35, 41, 28, 26, 29, 32,

36, 38, and 40. What is the mean deviation of the ratings?
Mathematics
1 answer:
miskamm [114]3 years ago
4 0

The mean deviation of the ratings is  4.12

<em><u>Explanation</u></em>

The ratings of the ten experts are:  34, 35, 41, 28, 26, 29, 32, 36, 38 and 40

So, the mean of all ratings =\frac{34+35+41+28+26+29+32+36+38+40}{10}= \frac{339}{10}=33.9

<u>The formula for Mean deviation</u> = \sum \frac{|x_{i}- \mu|}{N} , where x_{i} is the given data from i=1 to i=10 , \mu is the mean of the data and N is the total number of data. So.....

|x_{1}-\mu |= |34-33.9|=0.1\\ |x_{2}-\mu|=|35-33.9|=1.1\\ |x_{3}-\mu |=|41-33.9|=7.1\\ |x_{4}-\mu |=|28-33.9|=5.9\\ |x_{5}-\mu |=|26-33.9|=7.9\\ |x_{6}-\mu |=|29-33.9|=4.9\\|x_{7}-\mu |=|32-33.9|=1.9\\ |x_{8}-\mu |=|36-33.9|=2.1\\ |x_{9}-\mu |=|38-33.9|=4.1\\ |x_{10}-\mu |=|40-33.9|=6.1

So, the Mean deviation =\sum \frac{|x_{i}-\mu |}{N}=\frac{0.1+1.1+7.1+5.9+7.9+4.9+1.9+2.1+4.1+6.1}{10} = \frac{41.2}{10}=4.12

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Answer:

The equation is 4x + 5 = 2x + 6

Step-by-step explanation:

The solution is \frac{1}{2} means x = \frac{1}{2}

Let us put the coefficient of x in the left hand side = 4 and the coefficient of x in the right hand side = 2

∵ 4x - 2x = 2x

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Let us take 5 and 6

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- Subtract 2x from both sides

∴ 2x + 5 = 6

- Subtract 5 from both sides

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- Divide both sides by 2

∴ x = \frac{1}{2}

∴ The solution is  \frac{1}{2}

The equation is 4x + 5 = 2x + 6

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1. Pretend that in a certain city the number of new cases of a virus was reported to be 800 new cases on Sunday. Let’s pretend t
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The number of new cases be on Thursday after all of this growth and falling is 956.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

There are initially 800 cases, hence:

Number of cases on Monday = 1.15 * 800 = 920

Number of cases on Tuesday = 1.05 * 920 = 966

Number of cases on Wednesday = 0.9 * 966 = 869.4

Number of cases on Thursday = 1.1 * 869.4 = 956.34

The number of new cases be on Thursday after all of this growth and falling is 956.

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The three numbers can be represented as...

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The number of years it would take sales to reach $1,750,000 is 14.65 years.

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The formula that can be used to determine the number of years it would take for the sales to reach $1,750,000 is:

Number of years : In (FV / PV) / r

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