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snow_lady [41]
3 years ago
15

Could anyone help me out please?

Mathematics
2 answers:
Virty [35]3 years ago
6 0
The answer is $95.55
Reil [10]3 years ago
5 0

Answer:

<em>1</em><em>9</em><em>.</em><em>6</em>

<em>I am not sure of my answer</em>

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A set of data with 100 observations has a mean of 267. There are six outliers in the data set, which have a mean of 688. If the
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X*94 +688*6  = 267*100
94x+4128=26700     
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It would be the square root of 3
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Step-by-step explanation:

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Sutopa has 3/4 of the money Maneet has. Maneet has $18 less than Kim. Together, they have $286.40. How much money does each of t
anastassius [24]

Solving a system of equations we can see:

  • Sutopa has $73.20
  • Maneet has $97.60
  • Kim has $115.60

<h3>How much money each of them has?</h3>

First, let's define the variables:

  • S =  money that Sutopa has.
  • M = money that Maneet has.
  • K = money that Kim has.

We can write the system of equations:

S = (3/4)*M

M = K - $18

S + M + K = $286.40

First, we can rewrite the second equation to get:

K = M + $18

Now we can replace the first and second equations into the third one:

(3/4)*M + M + (M + $18) = $286.40

Now we can solve this for M:

M*(1 + 1 + 3/4) = $286.40 - $18

M = $268.40*(4/11) = $97.60

Now we can find the other two values:

K = M + $18 =  $97.60 + $18 = $115.60

S =  (3/4)*M =  (3/4)*$97.60 = $73.20

If you want to learn more about systems of equations:

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6 0
2 years ago
A container manufacturer plans to make rectangular boxes whose bottom and top measure 4x by 3x. The container must contain 48in.
alex41 [277]

The height of the container that will be able to minimize the cost will be 3.08cm.

<h3>How to calculate the height?</h3>

The volume of the box will be:

= (3x)(4x)h

= 12x²h

From the information given, we are told that the container must contain 48in³. Therefore,

48 = 12x²h

h = 4/x²

The function cost will be:

= 3.50(2)(12x²) + 4.40(14x)h

= 84x² + 61.6x(4/x²)

= 84x² + 246.4/x

We'll use the first derivative. This will be:

dC/dx = 168x - 246.4/x²

x = 1.14.

Therefore, the height will be:

h = 4/x² = 4/1.14² = 3.08cm

In conclusion, the height is 3.08cm.

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2 years ago
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