Answer:
The average rate of change of the given function
A(x) = 1
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given function f(x) = x² - 2x -4
And given that x = a = -1 and x=b = 4
The average rate of change of the given function

<u><em>Step(ii):-</em></u>
f(x) = x² - 2x -4
f(-1) = (-1)² - 2(-1) -4 = 1+2-4 = -1
f(4) = 4² -2(4) -4 = 16 -12 = 4
The average rate of change of the given function


<u><em>final answer:-</em></u>
The average rate of change of the given function
A(x) = 1
Answer:
The mean for the sampling distribution of the sample proportion is 0.29
The standard deviation for the sampling distribution of the sample proportion is 0.01435
Step-by-step explanation:
The mean for the sampling distribution of the sample proportion is always equal to the true population proportion, in this case; p = 0.29
The standard deviation for the sampling distribution of the sample proportion is calculated as;

Using the given values;
p = 0.29
1 - p = 0.71
n = 1000
The standard deviation becomes;

The s.d becomes 0.01435
7 7/9
chamge 11 2/3 to improper faction and multiply <span />
Answer:
7) Mean = 48 8) Mean = 59.6 9) Mean = 31.6 10) Mean = 42.1
Median = 47.5 Median = 61 Median = 32 Median = 40
Mode = 72 Mode = 90 Mode = 46 Mode = 51
Range = 66 Range = 79 Range = 34 Range = 51
Step-by-step explanation:
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Geometry</u>
- Volume of a Rectangular Prism: V = lwh
<u>Calculus</u>
Derivatives
Derivative Notation
Differentiating with respect to time
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>
<u />
<u />
<u />
<u>Step 2: Differentiate</u>
- Rewrite [VRP]:

- Differentiate [Basic Power Rule]:

<u>Step 3: Solve for Rate</u>
- Substitute:

- Multiply:

Here this tells us that our volume is decreasing (ice melting) at a rate of 360 cm³ per hour.