Add the Proper Constant to the Binomial So That the Resulting

question 52

Multiple Choice

Add the proper constant to the binomial so that the resulting trinomial is a perfect square trinomial. Then factor the
trinomial.
- $$x ^ { 2 } - 13 x$$

• A) \(x ^ { 2 } - 13 x + \frac { 13 } { 2 } = \left( x - \frac { 13 } { 2 } \right) ^ { 2 }\)
• B) \(x ^ { 2 } - 13 x - \frac { 169 } { 4 } = \left( x - \frac { 13 } { 2 } \right) ^ { 2 }\)
• C) \(x ^ { 2 } - 13 x + 169 = ( x - 13 ) ^ { 2 }\)
• D) \(x ^ { 2 } - 13 x + \frac { 169 } { 4 } = \left( x - \frac { 13 } { 2 } \right) ^ { 2 }\)

---

Definitions:

Confidence Interval

A stretch of values, resulting from sample analytics, projected to envelop the value of a hidden attribute in a population.

Population Proportion

The ratio of members within a subset to the total number of members in a population.

Stratified Random Sampling

A method of sampling that involves dividing a population into smaller groups, known as strata, that share similar characteristics, and then randomly selecting members from each stratum for study.

Chi-Square Distribution

A statistical distribution used in hypothesis testing that is applicable to variables measured on an interval scale, often used to analyze categorical data.