Answer:
(a) P(1) = 3
(b) P(-2) = 15
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
P(x) = x³ + 4x² - 3x + 1
P(1) is x = 1
P(-2) is x = -2
<u>Step 2: Evaluate</u>
<em>P(1)</em>
- Substitute: P(1) = 1³ + 4(1)² - 3(1) + 1
- Exponents: P(1) = 1 + 4(1) - 3(1) + 1
- Multiply: P(1) = 1 + 4 - 3 + 1
- Add: P(1) = 5 - 3 + 1
- Subtract: P(1) = 2 + 1
- Add: P(1) = 3
<em>P(-2)</em>
- Substitute: P(-2) = (-2)³ + 4(-2)² - 3(-2) + 1
- Exponents: P(-2) = -8 + 4(4) - 3(-2) + 1
- Multiply: P(-2) = -8 + 16 + 6 + 1
- Add: P(-2) = 8 + 6 + 1
- Add: P(-2) = 14 + 1
- Add: P(-2) = 15
Answer:
11. the first one 12. the last one
Step-by-step explanation:
The perimeter of the larger octagon would be 238 units. This is because the given side is multiplied by 7, so if you do this to all sides and then add them up, you get 238. To check, you can divide 238 by 34 and get 7.
Answer:
a) The act of selecting a sample of students that are enrolled in statistics classes exclusively is a kind of non-random selection, and <u>may contribute for the selection bias to happen since this sample population isn't representative</u> when related to all the students enrolled in this large university.
b) The non-response bias could happen when, from the 500 students sample, some of them might not be able to answer to the survey sent on their email, or simply chose not to answer it, declining to participate. With <u>less answers, the survey becomes less representative</u>.
c) The response bias could happen if students answer to their surveys in an innacurate way, usually if they support their opinion on personal beliefs that aren't always shared by the rest of the sample population. Since <u>the aim of the survey is to know the students' opinion on the foreign language classes topic, it is expected that response bias happens</u>, having in mind that opinion is a particular thought of each individual.
d) The most serious bias is the selection bias, since the validity of the whole research would be compromised if the sample population isn't representative of the group you aim to study. Without the correct representation of the aim group, the results from the survey are meaningless.
Answer:
x= -2
Step-by-step explanation:
f(x) is the same thing as y so just subtract 25 and divide by 8.
