We can solve this problem by using the formula:
s = σ / sqrt(n)
where,
s = standard deviation of the sample
σ = standard deviation of the population = 3 years
n = number of samples = 100
Substituting:
s = 3 years / sqrt (100)
s = 0.3 years (ANSWER)
According to Wikipedia, "the domain... is the set of "input"... for which the function is defined."
This essentially means the domain is where there is a 'definition' or y value for a function.
For this equation the only y value possible is 0 so the domain is 0 or optionally written as [0,0]
Answer:
Graph B
Step-by-step explanation:
Answer:A rational number is such that when you multiply it by 5/2 and add 2/3 to the product you get -7/12 . What is the number.
Step-by-step explanation:Let p/q (q ≠ 0) denote the rational number. Multiplying it by 5/2 gives (p/q)(5/2). Add 2/3 to the product and we get (p/q)(5/2) + 2/3 . The result is given to be -7/12.
∴ (p/q)(5/2) + 2/3 = -7/12 …………………………..……………………………………..(1)
Transposing 2/3 to right-hand-side and changing the sign to negative,
(p/q)(5/2) = -2/3 -7/12 = -(2/3 + 7/12) =- (2 x 4 + 7)/12 (Taking L.C.M.)
Or, (p/q)(5/2) = -(8+7)/12 = - 15/12
Multiplying both sides by 2/5,
(p/q)(5/2) x (2/5) = -15/12 . 2/5 = -(3x5)/(3x4) . 2/5 =- 5/4 .2/5
Since 2/5 is the multiplicative inverse of 5/2, 5/2 x 2/5 = 1 and we obtain
(p/q).1 = -1/4 . 2/1 = -1/2
⇒ p/q = -1/2 which is a negative rational number in which p = 1 and q = 2 ≠ 0 .
∴ the rational number = -1/2
Answer:
$1489.35
General Formulas and Concepts;
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Compounded Interest Rate Formula:
- <em>P</em> is principle amount
- <em>r</em> is rate
- <em>n</em> is compounded rate
- <em>t</em> is time (in years)
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>P</em> = 1000
<em>r</em> = 10% = 0.1
<em>n </em>= 12
<em>t</em> = 4
<u>Step 2: Solve for </u><em><u>A</u></em>
- Substitute in variables [Compounded Interest Rate Formula]:
- (Parenthesis) Add:
- [Exponents] Multiply:
- Evaluate exponents:
- Multiply: