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vazorg [7]
2 years ago
5

A sum of money is shared between Ali and

Mathematics
1 answer:
Zarrin [17]2 years ago
6 0

Answer:

Ben' share = 2(600/5) = $240

Step-by-step explanation:

Let the sum of money be x

Given that the ratio between Ali and Ben is 3:2

As adding both parts of ratio gives 5 parts so,

For finding one part = x/5

So according to given condition:

Ali's share(one part) + Ben's share(one part) = 120

3(x/5) - 2(x/5) = 120

By simplifying:

x/5 = 120

Multiplying both sides by 5

x = 600

So the total amount is 600

Ali's share would be = 3(600/5) = $360

Ben' share = 2(600/5) = $240

i hope it will help You!

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A. Create a set of 5 points that are very close together and record the standard deviation. Next, add a sixth point that is far
defon

Answer: The addition of the new point alters the previous standard deviation greatly

Step-by-step explanation:

Let the initial five points be : 2 3 4 5 and 6. In order to calculate the standard deviation for this data, we will need to calculate the mean first.

Mean = summation of scores/number of scores.

The mean is therefore: (2+3+4+5+6)/5 = 20/5 = 4.

We'll also need the sum of the squares of the deviations of the mean from all the scores.

Since mean = 4, deviation of the mean from the score "2" = score(2) - mean (4)

For score 3, it is -1

For 4, it's 0

For 5 it's 1

For 6 it's 2.

The squares for -2, -1, 0, 1, and 2 respectively will be 4, 1 , 0, 1, 4. Summing them up we have 10 i.e (4+1+0+1+4=10).

Calculating the standard deviation, we apply the formula:

√(summation of (x - deviation of mean)^2)/N

Where N means the number of scores.

The standard deviation = √(10/5) = 1.4142

If we add another score or point that is far away from the original points, say 40, what happens to the standard deviation. Let's calculate to find out.

i.e we now have scores: 2, 3, 4, 5, 6 and 40

We calculate by undergoing same steps.

Firstly mean. The new mean = (2+3+4+5+6+40)/6 = 60/6 = 10.

The mean deviations for the scores : 2, 3, 4, 5, 6 and 40 are -8, -7, -6, -5, -4 and 30 respectively. The squares of these deviations are also 64, 49, 36, 25, 16 and 900 respectively as well. Their sum will then be 1090. i.e. (64+49+36+25+16+900 = 1090).

The new standard deviation is then=

√(1090/6)

= √181.67

= 13.478.

It's clear that the addition of a point that's far away from the original points greatly alters the size of the standard deviation as seen /witnessed in this particular instance where the standard deviation rises from 1.412 to 13.478

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2 years ago
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2 years ago
Escribe distintos repartos que se pondrían hacer de las cantidades siguientes asegúrate de hacer repartos equitativos y exactos
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Answer:

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Step-by-step explanation:

7 0
3 years ago
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Vilka [71]

Answer:

4th row will result in the greatest mean.

Step-by-step explanation:

We are asked to find the row with greatest mean from our given rows.

We will use formula \bar{x}=\frac{\Sigma x}{n}, where,

\bar{x}=\text{Mean},

\Sigma x=\text{Sum of all data values},

n=\text{Number of data points in sample}

Let us find mean of each row using above formula.

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\text{Mean of row 2}=\frac{3+3+4+3+2}{5}

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\text{Mean of row 4}=4.2

Therefore, mean of 4th row is 4.2.

Since 4th row has the highest mean, therefore, 4th row will result in the greatest mean.

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2 years ago
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Answer:

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