Mr. Gregson packs ornaments into boxes. Each box holds eight ornaments. Which representation displays the relationship between x
1 answer:
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Answer:
b. It will decrease by a factor of 2
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence interval
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
The lower end of the interval is given by:
The upper end of the interval is given by:
The length of the interval is the subtraction of the upper end by the lower end, so it is:
This means that the length is inverse proportional to the square root of the size of the sample.
So, if the sample size is multiplied by 4, the length of the interval is going to decrease by a factor of 2.
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Algebra I</u>
- Functions
- Function Notation
<u>Algebra II</u>
- Piecewise Functions<u> </u>
<u>Calculus</u>
- Limits
- Continuity
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
Continuous at x = 2
<u>Step 2: Solve for </u><em><u>k</u></em>
- Definition of Continuity:
- Evaluate limits:
- Evaluate exponents:
- Multiply:
- [Subtraction Property of Equality] Subtract 2 on both sides:
- Rewrite:
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Limits - Continuity
Book: College Calculus 10e