Answer:
D. 9h
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
Volume of a Cuboid Formula: V = a²h
- <em>a</em> is the sides of the cube
- <em>h</em> is the height
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>a</em> = 3
<em>h</em> = <em>h</em>
<em />
<u>Step 2: Find Volume</u>
- Substitute in variables [Volume of a Cuboid Formula]: V = 3²h
- Evaluate exponents: V = 9h
Answer:
Step-by-step explanation:
The two given triangles, triangle (BDE) and triangle (BAC) share the angle (<B) in common. Moreover, their bases, line (DE), and line (AC) are parallel, this means that through the corresponding angles postulate, angles (<BDE) and (<BAC) are congrunet. Moreover, angles (<BED) and (<BCA) are also congruent. Thus, triangles (BDE) and (BAC) are similar through angle-angle similarity.
The ratio between the corresponding sides of similar triangles is the same. Therefore, one can form the following equation,
.
Substitute,
Simplify,
Cross products,
Simplify, distribute, multiply every term inside the parenthesis by the term outside of it,
Inverse operations,
Answer:
b. A smaller sample size would increase the effectiveness of a hypothesis test.
Step-by-step explanation:
A hypothesis test is an important procedure in the field of statistics. It evaluates any two mutually exclusive statements about a population that determines and tells which statement made best supports to the sample data provided.
Now we know that an increase in the sample size makes the hypothesis test more effective and sensitive and it is more likely to reject the null hypothesis.
The probability of making a type I error is known as the Alpha while the probability of making type II error is called Beta.
Thus the correct option is (b).
Answer:
none they are both 1 kg
Step-by-step explanation:
Slope of (7,6) and (7,-2) is: -8
