Answer:
c. The expected values of R and S will be equal, and the variability of R will be greater than the variability of S.
Step-by-step explanation:
This is Central Limit Theorem concept in which independent variables are added and form a normal distribution. The random sample of n sample size is selected which calculates normally distributed mean and variance. The expected value of samples distributor will be higher than the sample distribution.
The answer is 21/32 that is the answer of 3/4 ×7/8
Circumference = PI x Diameter
circumference of tire = 3.14 x 1.1 = 3.454 feet
so every full turn of the tire the bike travels 3.454 feet
110 feet / 3.454 = 31.8 turns
Answer:
2x+14
Step-by-step explanation:
(3/4)x-7.3+(5/4)x+21.3
(3/4+5/4)x+21.3-7.3
2x+14
Answer:
f'(-2.4) ≈ -14
General Formulas and Concepts:
<u>Algebra I</u>
Coordinate Planes
Slope Formula: ![\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D)
Functions
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
Step-by-step explanation:
*Note:
The definition of a derivative is the slope of the <em>tangent</em> <em>line</em>.
<u>Step 1: Define</u>
<em>Identify.</em>
f(-2.4) = -1
f(-1.9) = -8
<u>Step 2: Differentiate</u>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>.
- [Derivative] Set up [Slope Formula]:
![\displaystyle f'(-2.4) \approx \frac{f(x_2) - f(x_1)}{x_2 - x_1}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%27%28-2.4%29%20%5Capprox%20%5Cfrac%7Bf%28x_2%29%20-%20f%28x_1%29%7D%7Bx_2%20-%20x_1%7D)
- Substitute in coordinates:
![\displaystyle f'(-2.4) \approx \frac{-8 - -1}{-1.9 - -2.4}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%27%28-2.4%29%20%5Capprox%20%5Cfrac%7B-8%20-%20-1%7D%7B-1.9%20-%20-2.4%7D)
- Evaluate:
![\displaystyle f'(-2.4) \approx -14](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%27%28-2.4%29%20%5Capprox%20-14)
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Learn more about derivatives: brainly.com/question/17830594
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Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation