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
When using GeoGebra, I'm getting the regression curve to be roughly
h(t) = 1.67*(1.4)^t
I'm not sure how your teacher got 1.64 instead of the 1.67, but it's fairly close. So it seems like choice B is the best answer for the first part.
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Once we know the regression equation, we plug in t = 14 to find that,
h(t) = 1.64*(1.4)^t
h(14) = 1.64*(1.4)^(14)
h(14) = 182.236911939151
h(14) = 182.2
If 14 days have gone by, then we estimate the height is roughly 182.2 inches.
Compared to what the table says, which is 190 inches, we see that we have an underestimate. The error is about 190-182.2 = 7.8 which is under 10.
Answer: Choice C
The model <u>under-predicts</u> the actual height by <u>less than 10 inches</u>
Answer:
Step-by-step explanation:
Note that the sine wave is shifted up by 1/2 and the peak is at 5/2 so subtract the 1/2 from the 5/2 to get the amplitude of this wave.
It's 2