A full rotation is 360 degrees so the required angle is 360/12 = 30 degrees.
Answer:
The correct option is (b).
Step-by-step explanation:
We need to find the equivalent to -2(4-3x)+(5x-2)
Using the associative property,
-2(4-3x) = -2(4)+2(3x)
= -8+6x
So,
-2(4-3x)+(5x-2) = -8+6x +5x-2
taking like terms together,
-2(4-3x)+(5x-2) = 6x+5x-8-2
= 11x-10
The equivalent expression is equal to (11x-10).
Answer:
(15.8495,16.2505)
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 16.05 ounces
Standard Deviation, σ = 0.2005 ounces
We are given that the distribution of amount poured into the bottles is a bell shaped distribution that is a normal distribution.
Empirical rule:
- It states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ).
- It shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).
Confidence interval:

Putting the values, we get,

division is subtraction when dealing with logs
log₃
= log₃ (d) - log₃ (12)
Answer: A