The first one is the answer to the first question.
the second one is the answer to the second question
Answer:
a) From the chart crated with Microsoft Excel, we have that the correlation coefficient, r = √0.8581 ≈ 0.93 to the nearest hundredth
The steps used includes
1) Inputting the given data into the cells on a Microsoft Excel spread sheet
2) Highlighting and sorting the data in the cells in order of increasing Rainfall
3) Generating a dot plot using the sorted data from above
4) Adding the trend line, Square of the linear regression, and the trend line equation
5) Adding the axis labels
(b) The correlation coefficient states that there is a strong positive correlation between the monthly rainfall and and Umbrella sales
Step-by-step explanation:
Answer:
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General Formulas and Concepts:
<u>Calculus</u>
Limits
Limit Rule [Variable Direct Substitution]:

Special Limit Rule [L’Hopital’s Rule]:

Differentiation
- Derivatives
- Derivative Notation
Derivative Property [Addition/Subtraction]:
![\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28x%29%20%2B%20g%28x%29%5D%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28x%29%5D%20%2B%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bg%28x%29%5D)
Derivative Rule [Basic Power Rule]:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Derivative Rule [Chain Rule]:
![\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%20%3Df%27%28g%28x%29%29%20%5Ccdot%20g%27%28x%29)
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given limit</em>.

<u>Step 2: Find Limit</u>
Let's start out by <em>directly</em> evaluating the limit:
- [Limit] Apply Limit Rule [Variable Direct Substitution]:

- Evaluate:

When we do evaluate the limit directly, we end up with an indeterminant form. We can now use L' Hopital's Rule to simply the limit:
- [Limit] Apply Limit Rule [L' Hopital's Rule]:

- [Limit] Differentiate [Derivative Rules and Properties]:

- [Limit] Apply Limit Rule [Variable Direct Substitution]:

- Evaluate:

∴ we have <em>evaluated</em> the given limit.
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Learn more about limits: brainly.com/question/27807253
Learn more about Calculus: brainly.com/question/27805589
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Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Answer:
7
Step-by-step explanation:
An easy way to find any percentage of a number is to multiply with decimals. To do this you have to first convert the percentage to a decimal. Do this by moving the decimal point in the percentage 2 places to the left. This means that 2.0% becomes 0.02. Then, multiply this decimal by the whole number. So, 0.02*350. This equals 7, which is 2% of 350.
This same trick will work with any problem. For example 38% of 435 is the same as 0.38*435, which equals 165.3.