Answer:
The tea's actual cost is $116.25
Step-by-step explanation:
* Lets revise how to find the z-score
- The rule the z-score is z = (x - μ)/σ , where
# x is the score
# μ is the mean
# σ is the standard deviation
* Lets solve the problem
- The average cost of a glass of iced tea is $1.25
- The standard deviation of it is 7 cents
- A new restaurant charges a price for iced tea that has a
z-value of -1.25
* Lets change the average cost to cent
∵ $1 = 100 cents
∴ The average cost of a glass of iced tea = 1.25 × 100 = 125 cents
∵ z = (x - μ)/σ
∵ z = -1.25
∵ μ = 125
∵ σ = 7
∴ -1.25 = (x - 125)/7 ⇒ multiply both sides by 7
∴ -8.75 = x - 125 ⇒ add 125 to both sides
∴ 116.25 = x
* The tea's actual cost is $116.25
Hello,
![\widehat{BOC}=33](https://tex.z-dn.net/?f=%5Cwidehat%7BBOC%7D%3D33)
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triangle AOB is isoscele ==>
![\widehat{OBA}=20](https://tex.z-dn.net/?f=%5Cwidehat%7BOBA%7D%3D20)
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![\widehat{AOB}=180-40=140](https://tex.z-dn.net/?f=%5Cwidehat%7BAOB%7D%3D180-40%3D140)
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![\widehat{BOC}=360-60-127-140=33](https://tex.z-dn.net/?f=%5Cwidehat%7BBOC%7D%3D360-60-127-140%3D33)
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3 inches because he took off one forth of a foot. if a foot is 12 inches and you take off one forth, it would be like dividing 12 by 4. This would give you an answer of 3 inches.