Answer:
![\bar X =\frac{2.3+3.1+2.8+1.7+0.9+4+2.1+1.2+3.6+0.2+2.4+3.2}{12}=2.29](https://tex.z-dn.net/?f=%5Cbar%20X%20%3D%5Cfrac%7B2.3%2B3.1%2B2.8%2B1.7%2B0.9%2B4%2B2.1%2B1.2%2B3.6%2B0.2%2B2.4%2B3.2%7D%7B12%7D%3D2.29)
![s=1.09](https://tex.z-dn.net/?f=%20s%3D1.09)
Step-by-step explanation:
For this case we have the following data given:
2.3 3.1 2.8
1.7 0.9 4.0
2.1 1.2 3.6
0.2 2.4 3.2
Since the data are assumedn normally distributed we can find the standard deviation with the following formula:
![\sigma =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}](https://tex.z-dn.net/?f=%5Csigma%20%3D%5Csqrt%7B%5Cfrac%7B%5Csum_%7Bi%3D1%7D%5En%20%28X_i%20-%5Cbar%20X%29%5E2%7D%7Bn%7D%7D)
And we need to find the mean first with the following formula:
![\bar X = \frac{\sum_{i=1}^n X_i}{n}](https://tex.z-dn.net/?f=%5Cbar%20X%20%3D%20%5Cfrac%7B%5Csum_%7Bi%3D1%7D%5En%20X_i%7D%7Bn%7D)
And replacing we got:
![\bar X =\frac{2.3+3.1+2.8+1.7+0.9+4+2.1+1.2+3.6+0.2+2.4+3.2}{12}=2.29](https://tex.z-dn.net/?f=%5Cbar%20X%20%3D%5Cfrac%7B2.3%2B3.1%2B2.8%2B1.7%2B0.9%2B4%2B2.1%2B1.2%2B3.6%2B0.2%2B2.4%2B3.2%7D%7B12%7D%3D2.29)
And then we can calculate the deviation and we got:
![s=1.09](https://tex.z-dn.net/?f=%20s%3D1.09)
Use the formula speed=distance/time, or s=d/t.
Substitute 2,482 for d and 42.5 for t.
s=2,482/42.5
Simply divide for the answer:
Mr. Douglas' average speed for the trip was 58.4 miles per hour.
I hope this helps! ^_^
Answer:
$32,335.38
Step-by-step explanation:
You are going to want to use the compound interest formula, which is shown below.
![P(1+\frac{r}{n} )^{nt}](https://tex.z-dn.net/?f=P%281%2B%5Cfrac%7Br%7D%7Bn%7D%20%29%5E%7Bnt%7D)
<em>P = initial balance
</em>
<em>r = interest rate
</em>
<em>n = number of times compounded annually
</em>
<em>t = time</em>
<em />
Now lets plug in the values into the equation:
= 32,335.38
Your answer is $32,335.38
Answer: I found the answer of A=9h
Answer:
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Step-by-step explanation: