Answer:
The probability that the sample mean would differ from the population mean by more than 2.6 mm is 0.0043.
Step-by-step explanation:
According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.
Then, the mean of the distribution of sample mean is given by,
And the standard deviation of the distribution of sample mean is given by,
The information provided is:
<em>μ</em> = 144 mm
<em>σ</em> = 7 mm
<em>n</em> = 50.
Since <em>n</em> = 50 > 30, the Central limit theorem can be applied to approximate the sampling distribution of sample mean.
Compute the probability that the sample mean would differ from the population mean by more than 2.6 mm 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 2.6 mm is 0.0043.
Area of a triangle is A = (1/2) (b) (h). Here we are given A and b and need to find h.
A = 24 ft^2 = (1/2) (4 ft) (height)
24 = 2(height) => height is 12 ft (answer)
REMEMBER: A rotation of 180 degrees means you flip both x and y numbers
E(-4,3)
F(7,-5)
G(-2,-8)
Answer:3
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Step-by-step explanation:
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Answer:
1. -1,1 -2,2 -3,3. 2. when we are digging and when we are planting something. 3. Zero is the center point in the negitives, It tells you when you are about to hit negitives or positives.
Step-by-step explanation:
