Is 3x + 12 +x and 4 (3 + x) equivalent .Why and Whynot?
2 answers:
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Answer:
1/3
Step-by-step explanation:
i have attached a tree diagram to help with your understanding, first branches show probability of picking either green or red the first time she picks one. The next set of branches show the updated probabilities after one pencil has been taken out.
Answer:
The probability that the sample mean would differ from the population mean by more than 0.5 millimeters is 0.2420.
Step-by-step explanation:
Let <em>X</em> = the diameter of the steel bolts manufactured by the steel bolts manufacturing company Thompson and Thompson.
The mean diameter of the bolts is:
<em>μ</em> = 149 mm.
The standard deviation of the diameter of bolts is:
<em>σ</em> = 5 mm.
A random sample, of size <em>n</em> = 49, of steel bolts are selected.
The population of the diameter of bolts is not known.
According to the Central Limit Theorem if we have a population with mean <em>μ</em> and standard deviation <em>σ</em> and we take appropriately huge random samples (<em>n</em> ≥ 30) from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.
The mean of the sampling distribution of sample mean is:
The standard deviation of the sampling distribution of sample mean is:
Compute the probability that the sample mean would differ from the population mean by more than 0.5 millimeters as follows:
*Use a <em>z</em>-table for the probability.
Thus, the probability that the sample mean would differ from the population mean by more than 0.5 millimeters is 0.2420.