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Licemer1 [7]
3 years ago
13

Dylan bought 3 identical shirts online for a total cost of $71.83 including a flat rate of $7.99 for shipping. Drag numbers to c

omplete an equation to find the cost of each shirt, s. Each number may be used only once.
Mathematics
1 answer:
Masteriza [31]3 years ago
6 0

Answer:

Shirt #1

x = 63.84 - y - z

Shirt # 2

y = 63.84 - x - z

Shirt # 3

z = 63.84 - x - y

Step-by-step explanation:

First calculate the value of the 3 shirts as follows:

$ 71.83 - $ 7.99 = $ 63.84.

$ 63.84.

The general equation would be, where x is the value of shirt # 1, and the value of shirt # 2 and z is the value of shirt # 3:

x + y + z = 63.84, then for each shirt would be the following equations:

Shirt #1

x = 63.84 - y - z

Shirt # 2

y = 63.84 - x - z

Shirt # 3

z = 63.84 - x - y

For example, if we give values (always the sum of both under 63.84) to two shirts, x = $ 20, y = $ 30 then the value of shirt # 3 would be:

<em>z = 63.84 - 20 - 30 = $ 13.84</em>

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lapo4ka [179]

Answer:

0.6247

Step-by-step explanation:

The formula for calculating a Z-score is Z = (X - μ)/σ,

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σ is the population standard deviation.

From the question,

μ = 51, σ = 10. We are to find P(36 ≤ X ≤ 56)

Step 1

Find the Probability of X ≤ 36

μ = 51, σ = 10

Z = (X - μ)/σ

Z = 36 - 51/ 10

Z = -15/10

Z = -1.5

We find the Probability of Z = -1.5 from Z-Table

P(X <36) = P(X = 36) = P(Z = -1.5)

= 0.066807

Step 2

Find the Probability of X ≤ 56

μ = 51, σ = 10

Z = (X - μ)/σ

Z = 56 - 51/ 10

Z = 5/10

Z = 0.5

We find the Probability of Z = 0.5 from Z-Table:

P(X < 56) = P(X = 56) = P(Z = 0.5)= 0.69146

Step 3

Find P(36 ≤ X ≤ 56)

P(36 ≤ X ≤ 56) = P(X ≤ 56) - P(X ≤ 36)

= P( Z = 0.5) - P(Z = -1.5)

= 0.69146 - 0.066807

= 0.624653

Approximately to 4 decimal places , P(36 ≤ X ≤ 56) = 0.6247

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Step-by-step explanation:

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