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j015
15.01.2021 •
Mathematics
Ing like terms and the distributive property ZXX
Simplify the expression:
7+ -7(-4- 10m)
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Ответ:
The mean length of the pavers is 4.75 inches ⇒ 3rd answer
Step-by-step explanation:
* Lets explain how to solve the problem
- A paver measuring 5 inches long has a z-score of +1
- A paver measuring 5.25 inches long has a z-score of +2
- The rule of z-score is ⇒ z = = (x - μ)/σ , where
# x is the score
# μ is the mean
# σ is the standard deviation
∵ z = +1 when x = 5 inches
∴ 1 = (5 - μ)/σ
- Multiply both sides by σ
∴ σ = 5 - μ
- Add μ to both sides
∴ σ + μ = 5 ⇒ (1)
∵ z = +2 when x = 5.25 inches
∴ 2 = (5.25 - μ)/σ
- Multiply both sides by σ
∴ 2σ = 5.25 - μ
- Add μ to both sides
∴ 2σ + μ = 5.25 ⇒ (2)
* Lets solve equations (1) and (2) to find σ
- Subtract equation (1) from equation (2)
∴ (2σ + μ ) - (σ + μ) = 5.25 - 5
∴ σ = 0.25
- Substitute the value of σ in equation (1) to find μ
∴ 0.25 + μ = 5
- Subtract 0.25 from both sides
∴ μ = 4.75
∵ μ is the mean length of the pavers
∴ The mean length of the pavers is 4.75 inches