while at the grocery store, Mrs.Martin noticed that were two different sized bottles of hot sauce, one was 16.9 ounces and the o
1 answer:
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Answer:
The mean is of -0.4 hours.
Step-by-step explanation:
To solve this question, we need to understand the central limit theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Mean of the sample of 64 Duracell:
By the Central Limit Theorem, 4.1 hours.
Mean of the sample of 64 Eveready:
By the Central Limit Theorem, 4.5 hours.
Mean of the difference?
Subtraction of normal variables, so we subtract the means.
4.1 - 4.5 = -0.4
The mean is of -0.4 hours.
Answer:
The set of all real values except 7
Step-by-step explanation:
We are given that,
Domain of the function f(x) is 'the set of all real values except 7'.
Domain of the function g(x) is 'the set of all real values except -3'.
It is required to find the domain of .
Now, we know that,
<em>The composition of functions
and
will be defined where the function
is defined.</em>
Since, the domain of f(x) is 'the set of all real values except 7'.
Thus, the domain of is also 'the set of all real values except 7'.