It would be 1.675 inches away from each corner.
Answer:
GB = 15
Step-by-step explanation:
DC, EB and FA are the medians of the triangle.
The point G where the medians intersect is the centroid.
On each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint, hence
FG = 2GA, that is
5x = 2(x + 9)
5x = 2x + 18 ( subtract 2x from both sides )
3x = 18 ( divide both sides by 3 )
x = 6
Hence
GB = 2x + 3 = (2 × 6) + 3 = 12 + 3 = 15
Answer:
There is no difference as per statistical evidence.
Step-by-step explanation:
We calculate t statistic from the formula
t =difference in means/Std error of difference
Here n1 = n2
t = (x bar - y bar)/sq rt of s1^2+s2^2
Let treatment I =X = 34 41 38 29
Treatment II Y = 39 48 35 36
X Y
Mean 35.50 39.50
Variance 81.00 105.00
H0: x bar = y bar
Ha: x bar not equal to y bar
(Two tailed test at 0.05 significant level)
N1 = 4 and N2 = 4
df=N1+N2-2 = 6
s1^2 = 81/3 =27 and s2^2 = 105/3 = 35
Std error for difference =
t = -1.02
p =0.348834
p>0.05
Since p value >alpha we accept null hypothesis.
Hence there is statistical evidence to show that there is no difference in the mean level of scores.
Answer:
75.
Step-by-step explanation:
The GCF, or Greatest Common Factor, of 525, 135, and 750 is 75, and how we know this is to do some simple math.
Take all the numbers, simply factor each value first and then we choose all the copies of factors and multiply them.
The difference between mixed numbers gives:
-5¹/₆ - (-8¹/₂) = 3¹/₃
So the correct option is the third one.
<h3 /><h3>How to get the difference between mixed numbers?</h3>
Here we want to compute the difference between two mixed numbers.
First, remember that we can rewrite those as:
-5¹/₆ = (-5 - 1/6)
-8¹/₂ = (-8 - 1/2)
Now, let's go to the difference:
-5¹/₆ - (-8¹/₂)
First you can see that there are two negative signs together, so it is equivalent to a positive sign:
-5¹/₆ - (-8¹/₂) = -5¹/₆ + 8¹/₂
Now we can replace the mixed numbers to get:
-5¹/₆ + 8¹/₂ = (-5 - 1/6) + (8 + 1/2) = (8 - 5) + (1/2 - 1/6) = (3 + 2/6) = 3 + 1/3
And that can be rewritten to:
3 + 1/3 = 3¹/₃
Which is completely simplified.
So we conclude that the correct option is the third one, counting from the top.
If you want to learn more about mixed numbers:
brainly.com/question/1746829
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