Answer:
Explained below.
Step-by-step explanation:
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
And the standard deviation of the sample means is given by,
a
The expected value of the sample mean of their weights is same as the population mean, <em>μ</em> = 1515 lbs.
b
The standard deviation of the sampling distribution of the sample mean weight is:
c.
The average weights for a sample of 16 people will result in the total weight exceeding the weight limit of 2500 lbs. is:
d
Compute the probability that a random sample of 16 persons on the elevator will exceed the weight limit as follows:
Answer: m = d/4 - n/4
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
Please mark me as brainliest
The width of the driveway is 5x-2.
The height of the carport is 6x+1.
We complete polynomial long division for both of these.
For the driveway:
Dividing 5x²+43x-18 by x+9, we first see how many times x will go into 5x². It goes in 5x times; we write this in the division problem above 43x. Multiplying back through,
5x(x+9) = 5x²+45x. This goes below 5x²+43x. We now subtract:
5x²+43x-(5x²+45x)= -2x; this goes below the 45x we wrote earlier. Bring down the -18.
Now we see how many times x goes into -2x; it goes -2 times. This goes beside our 5x in our answer at the top. Multiplying back through,
-2(x+9) = -2x-18. This goes below our -2x-18 we had, and gives us an answer of 5x-2 with a remainder of 0.
For the carport:
To divide 48x³+68x²-8x-3 by 8x²+10x-3, we see how many times 8x² will go into 48x³. It will go 6x times; write this above -8x. Multiplying back through,
6x(8x²+10x-3) = 48x³+60x²-18; write this below 48x³+68x²-8x. Now subtract:
48x³+68x²-8x-(48x³+60x²-18) = 8x²+10x; this goes below our 48x³+60x²-18. Bring down the -3.
Now we want to see how many times 8x² will go into 8x². It goes 1 time; write this beside our 6x at the top. Multiplying back through,
1(8x²+10x-3) = 8x²+10x-3; write this below the 8x²+10x-3 we have already down. When we subtract these, we get a remainder of 0, with our answer up top as 6x+1.
Answer: The results do not represent the population because the sample does not represent professors from different areas.
Step-by-step explanation:
Since Traverion wants to find the answer to the question “How much money does the average college professor make?”
He only surveys 50 professors from the university in his hometown.
Although he should survey professors from different areas but he only perform his survey only a specific university in his hometown.
Therefore, the survey is biased as the sample size is too small.
Hence, The results do not represent the population because the sample does not represent professors from different areas.
