Noah orders an extra-large pizza. It costs $12.49 for the pizza plus $1.50 for each topping. He olders an extra-large pizza with
1 answer:
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Answer:
Let X the random variable that represent the number of children per fammili of a population, and for this case we know the following info:
Where and
We select a sample of n =64 >30 and we can apply the central limit theorem. From the central limit theorem we know that the distribution for the sample mean is given by:
And for this case the standard error would be:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
Solution to the problem
Let X the random variable that represent the number of children per fammili of a population, and for this case we know the following info:
Where and
We select a sample of n =64 >30 and we can apply the central limit theorem. From the central limit theorem we know that the distribution for the sample mean is given by:
And for this case the standard error would be:
Answer:
x = 0 and x = -2 are solutions of the given rational equation.
Step-by-step explanation:
We must solve the following rational equation:
Now we present the procedure:
1) Given
2) Compatibility with multiplication/Existence of the multiplicative inverse/Definition of division/Modulative property.
3) Distributive property/
4) Compatibility with addition/Existence of the additive inverse/Modulative property/Reflexive property
5) Distributive property/
6) Result
Now we check the rational equation with each root:
x = 0
x = 0 is a solution of the rational equation.
x = -2
x = -2 is a solution of the rational equation.