The correct answer is answer choice D
The mass of the first shipment at time t is

The mass of the second shipment at time t is

At time t, the ratio of m₁ to m₂ is

Therefore as a percentage,

Answer: B. 81.2%
I would go with A, but I'm not positive.
Answer:
x = 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Equality Properties
- Combining Like Terms
Step-by-step explanation:
<u>Step 1: Define Equation</u>
2(6x + 4) - 6 + 2x = 3(4x + 3) + 1
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 12x + 8 - 6 + 2x = 12x + 9 + 1
- Combine like terms: 14x + 2 = 12x + 10
- Subtract 12x on both sides: 2x + 2 = 10
- Subtract 2 on both sides: 2x = 8
- Divide 2 on both sides: x = 4
Answer:
Option 3 and 4.
Step-by-step explanation:
The z score shows by how many standard deviations the raw score is above or below the mean. The z score is given by:

Given that mean (μ) = 82, standard deviation (σ) = 5
1) For x = 74:

Option 1 is incorrect
2) For x < 87

From the normal distribution table, P(x < 87) = P(z < 1) = 0.8413 = 84.13%
Option 2 is incorrect
3) For x = 95:

Option 3 is correct
4) For x < 77

From the normal distribution table, P(x < 77) = P(z < -1) = 0.16 = 16%
Option 4 is correct
5) For x > 92

From the normal distribution table, P(x > 92) = P(z > 2) = 1 - P(z < -2) = 1 - 0.9772 = 0.0228 = 2.28%
Option 5 is incorrect