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Degger [83]
2 years ago
12

Emilio asked his aunt for $20 to buy supplies for his lemonade stand. Once his stand opened he made $40 a day

Mathematics
1 answer:
FrozenT [24]2 years ago
8 0

The equation that represents profit is $40x - $20.

The profit after 5 days in business is $180.

The profit after 10 days in business is $380.

The profit after 10 days in business if revenue is $45 is $430.

<h3>What is profit? </h3>

Profit is total revenue less total cost.

Profit = total revenue - total cost

Profit = $40x - $20

Where:

x = number of days

<h3>What is the total profit after 5 days and 10 days? </h3>

$40(5) - $20

= $200 - $20

= $180

$40(10) - $20

$400 - $20

$380

<h3>What is total profit if revenue is $45? </h3>

$45(10) - $20

= $450 - $20

= $430

To learn more about profit, please check: brainly.com/question/26181966

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<em>The probability of spending between 4 and 7 days in recovery</em>

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Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given mean of the Population μ = 5.3 days

Given standard deviation of the population 'σ' = 2 days

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Let    x₁ = 4

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Let    x₂ = 7

Z_{2} = \frac{x_{2}-mean }{S.D} = \frac{7-5.3}{2} = 0.85

<u><em>Step(ii):-</em></u>

<u><em>The probability of spending between 4 and 7 days in recovery</em></u>

<em>P(4≤x≤7) = P(-0.65≤Z≤0.85)</em>

<em>              =  P(Z≤0.85) - P(Z≤-0.65)</em>

<em>             = 0.5 + A( 0.85) - ( 0.5 - A(-0.65) </em>

<em>             = 0.5 + A( 0.85) -  0.5 +A(0.65)   ( ∵A(-0.65) = A(0.65)</em>

<em>            =   A(0.85) + A(0.65)</em>

<em>           = 0.3023 + 0.2422</em>

<em>          = 0.5445</em>

<u><em>Final answer:</em></u><em>-</em>

<em>The probability of spending between 4 and 7 days in recovery</em>

<em>P(4≤x≤7) = 0.5445</em>

<em>            </em>

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