<h3>
Answer: Choice B. f(x) = 100 - 68x</h3>
Work Shown:
Solve for y. Then replace y with f(x).
Effectively this involves adding 1000 to both sides and subtracting 680x from both sides, afterward we divide both sides by 10 to isolate y.
Answer: 68% of light bulbs last between 1765 hours and 1835 hours.
Step-by-step explanation:
The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below
68% of data falls within the first standard deviation from the mean.
95% fall within two standard deviations.
99.7% fall within three standard deviations.
From the information given, the mean is 1800 hours and the standard deviation is 35 hours.
1 standard deviation = 1 × 35 = 35
1800 - 35 = 1765 hours
1800 + 35 = 1835 hours
Therefore, 68% of light bulbs last between 1765 hours and 1835 hours.
Answer:
257
General Formulas and Concepts:
Order of Operations: BPEMDAS
Step-by-step explanation:
<u>Step 1: Define</u>
2x² + 5x + 7
x = 10
<u>Step 2: Evaluate</u>
- Substitute: 2(10)² + 5(10) + 7
- Exponents: 2(100) + 5(10) + 7
- Multiply: 200 + 50 + 7
- Add: 250 + 7
- Add: 257
