In the expression f(x)=23, x is not a variable. f(x) means “a function of x” or “f of x” and is in practice another way of substituting for the variable y, that is, we are saying:
y=23.
That means x is unspecified and could be anything. So on the xy plane, this is a straight horizontal line, 23 units above the x axis. That would be the best way to interpret this, although it is a little ambiguous.
Usually functions of x are expressed in terms of x, such as:
f(x) = x^2
Work shown above! Answer is
a = 5 b = -2 c = 0
Answer:
Step-by-step explanation:
-2, 1, 2, 4
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,

171 is rounded to 200 as it is closest to 200 than 100
and 727 is rounded to 700 as it is closest to 700 than 800
when we add 200 and 700 we get the answer 900
The sum of 171 and 727 is:
171 + 727 = 898
and 898 is rounded to 900 as it is closest to 900 than 800.