Find the greatest common factor of 270 and 360. (Give the answer in the numerical form in the top box and in
1 answer:
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Answer:
√205 +√178 +1 ≈ 28.6595
Step-by-step explanation:
The distance formula tells you the distance between points (x1, y1) and (x2, y2) is ...
d = √((x2 -x1)^2 +(y2-y1)^2)
Taken pairwise, the distances between the given points are ...
d1 = √((-10-4)^2 +(-4-(-7))^2) = √(196+9) = √205
d2 = √((3-(-10))^2 +(-7-(-4))^2) = √(169+9) = √178
d3 = √((4-3)^2 +(-7-(-7))^2) = √1 = 1
Then the sum of the distances gives the perimeter:
P = d1 +d2 +d3 = √205 +√178 +1 ≈ 28.6595
_____
In the attached figure, the distance "a" is the sum of the two long sides of the triangle.
Answer:
approximately Normal, mean 8.1, standard deviation 0.063.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
Let X the random variable weights of 8-ounce wedges of cheddar cheese produced at a dairy. We know from the problem that the distribution for the random variable X is given by:
We take a sample of n=10 . That represent the sample size.
What can we say about the shape of the distribution of the sample mean?
From the central limit theorem we know that the distribution for the sample mean is also normal and is given by:
approximately Normal, mean 8.1, standard deviation 0.063.