Answer:
2nd one is right but first one is not mark 1st one right
Answer:
<u>The quantity is US$ 58, which 6.5% is US$ 3.77 </u>
Step-by-step explanation:
Number = x
6.5% of x = $ 3.77
6.5% = 0.065 = 65/1,000 = 13/200 (Dividing by 5)
3.77 = 3 + 77/100 (We can't simplify 77/100)
Thus,
13/200 * x = 3 77/100
13x/200 = 377/100
13x = 754 (Multiplying by 200 at both sides)
x = 754/13 (Dividing by 13 at both sides)
<u>x = 58</u>
Answer:
The sample mean will approach 76
Step-by-step explanation:
Refer to Law of large numbers (LLN) and the central limit theorem (CLT)
For random sample, with sample size n, in population with expected value μ, the sample mean converge almost surely to the expected value μ as n -> ∞
Answer:
m∠LMN = 29°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Set up equation</u>
m∠LMN and m∠NMP must add up to m∠LMP
(2x - 1)° + (5x + 3)° = 107°
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 7x + 2 = 107
- Isolate <em>x</em> term: 7x = 105
- Isolate <em>x</em>: x = 15
<u>Step 3: Find m∠LMN</u>
- Define: m∠LMN = (2x - 1)°
- Substitute in <em>x</em>: m∠LMN = (2(15) - 1)°
- Multiply: m∠LMN = (30 - 1)°
- Subtract: m∠LMN = 29°
You would take 3 into 7.5 to get that scale factor.
