Simplify (6x−2)2(0.5x)4. Show your work.
1 answer:
Answer:
Step-by-step explanation:
just a warning. not 100% sure if this is right, its just what i did. and yes its legal math. i think lol.
so i distributed the 2 to the 0.5x, getting just x. then multiplying that x by 4 getting 4x. next i just distributed the 4x to the 6x-2. getting the answer bc multiplying an x by an x gets you and x^2. so you get 24x^2 (bc 4 times 6 is 24) and -8x bc 4x times -2 is -8x
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Answer:
The probability hat the sample mean height for the 40 chimneys is greater than 102 meters is 0.1469.
Step-by-step explanation:
Let the random variable <em>X</em> be defined as the height of chimneys in factories.
The mean height is, <em>μ</em> = 100 meters.
The standard deviation of heights is, <em>σ</em> = 12 meters.
It is provided that a random sample of <em>n</em> = 40 chimney heights is obtained.
According to the Central Limit Theorem if we have an unknown population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 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 means is given by,
And the standard deviation of the distribution of sample means is given by,
Since the sample selected is quite large, i.e. <em>n</em> = 40 > 30, the central limit theorem can be used to approximate the sampling distribution of sample mean heights of chimneys.
Compute the probability hat the sample mean height for the 40 chimneys is greater than 102 meters as follows:
*Use a <em>z</em>-table fr the probability.
Thus, the probability hat the sample mean height for the 40 chimneys is greater than 102 meters is 0.1469.