Determine whether or not the two equations below have the same solution. In two or more complete sentences, explain your rationa
2 answers:
Answer:
The two equation have the same solutions.
Step-by-step explanation:
Consider the provided equations.
......(1)
.......(2)
We need to determine whether or not the two equations below have the same solution.
Solve the first equation.
Multiply both the sides by 12.
Here we can observe that after simplifying the first equation both the equation becomes the same.
Hence, the two equation have the same solutions.
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Given Information:
Population mean = p = 60% = 0.60
Population size = N = 7400
Sample size = n = 50
Required Information:
Sample mean = μ = ?
standard deviation = σ = ?
Answer:
Sample mean = μ = 0.60
standard deviation = σ = 0.069
Step-by-step explanation:
We know from the central limit theorem, the sampling distribution is approximately normal as long as the expected number of successes and failures are equal or greater than 10
np ≥ 10
50*0.60 ≥ 10
30 ≥ 10 (satisfied)
n(1 - p) ≥ 10
50(1 - 0.60) ≥ 10
50(0.40) ≥ 10
20 ≥ 10 (satisfied)
The mean of the sampling distribution will be same as population mean that is
Sample mean = p = μ = 0.60
The standard deviation for this sampling distribution is given by
Where p is the population mean that is proportion of female students and n is the sample size.
Therefore, the standard deviation of the sampling distribution is 0.069.