The standard error of the estimate of average height in the city is 0.25.
Given average height 64 inches, sample mean and sample standard deviation of 4 inches.
We have to determine the standard error of the estimate of the average height in the city.
Standard error is the error which is predicted before research to happen in research. It is calculated by dividing the standard deviation of the sample by the square root of the sample size.
n=256
μ=mean
s = sample standard deviation
Standard error=s/
=4/
=4/16
=0.25
Hence the standard error of the estimate of the average height is 0.25.
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To find the GCF of the two terms, continuous division must be done.
What can be used to divide both terms such that there is not a remainder?
Start small, let's take 2. It could be a GCF.
Move up higher, say 3. Yes, it can be a GCF.
To see if there might be a greater common factor, divide the constants by 3.
48/3 = 16
81/3 = 27
Upon inspection and contemplation, there is no more common factor between 16 and 27. So, 3 is the GCF.
Moving on, when it comes to variables. The variable with the least exponents is easily the GCF. For the variable m, the GCF is m2 and for n, the GCF is n.
Combining the three, we have the overall GCF = 3m2n
Answer: change, position, shape
Step-by-step explanation:
Answer:
It's the second one, where the line is completely vertical
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
1) 4x + 8 = 2x + 10
2x = 2
x = 1
2) 9y - 3 = 6y + 12
3y = 15
y = 5
3) 8m + 4 = 4m - 20
4m = -24
m = -6
4) 11z - 14 = 5z + 4
6z = 18
z = 3
5) 3q - 6 = 8q - 6
5q = 0
q = 0
6) 20n + 7 = 6n - 21
14n = -28
n = -2
7) 2w - 8 = 7w - 3
5w = -5
w = -1
8) 9k + 4 = k - 12
8k = -16
k = -2