Answer:
The standard error of the mean is 4.5.
Step-by-step explanation:
As we don't know the standard deviation of the population, we can estimate the standard error of the mean from the standard deviation of the sample as:

The sample is [30mins, 40 mins, 60 mins, 80 mins, 20 mins, 85 mins]. The size of the sample is n=6.
The mean of the sample is:

The standard deviation of the sample is calculated as:

Then, we can calculate the standard error of the mean as:

Answer:
x + 37 = 90
Step-by-step explanation:
Since complementary angles add up to 90 degrees, we would need to add 37 and x to equal 90 degrees. Therefore, x + 37 equals 90 degrees. As for solving, subtract 37 from both sides and you are left with x = 53.
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Answer:

Step-by-step explanation:
To find the scale factor of a dilation, we first find two corresponding sides. For example, the top edge of the black shape corresponds with the top edge of the purple shape. The top edge of the black shape measures 15 units while the top edge of the purple shape measures 3 units
Now, we divide the length taken from the figure by the length taken from the original shape. In this case, we divide the length of 3 by the length of 15.
3/15=
I hope this helps!
<span>x(1^2)-2(1)+4(1^3)=6
x - 2 + 4 = 6
x + 2 = 6
x = 4 </span>