3/4(1/2x + 4) + 1/2(x − 1)
First use distributive property to remove the parentheses:
3/8x + 3 + 1/2x -1/2
Now combine like terms:
7/8x + 2 1/2
Given,
2x - 1/2 = 3 - x
2x + x = 3 + 1/2
3x = 7/2
3x = 3.5
x = 3.5/3
x = 1.167
Answer:
a ≈
2.594
b ≈
2.705
c ≈
2.718
d ≈
2.718
e ≈
2.718
Step-by-step explanation:
Answer:
The sample size is 183.
Step-by-step explanation:
Given:
σ = $1050, ppulatin standard deviation
99% confidence interval
Accuracy = +/- $200
The accuracy is given by
z*(σ/√n)
where
z* = 2.576 for 99% confidence level (from tables)
n = sample size
Therefore
2.576(1050/√n) = 200
√n = (2.576*1050)/200 = 13.524
n = 182.9
<em>The sample size is 183</em>
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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,
