Answer:
Range = 2460 dollars, Variance = 516414.6 
, Standard deviation = 718.6199 dollars . There are two outliers and they are likely to have much of an effect on the measures of variation.
Step-by-step explanation:
The smallest value in the sample data is min = 50 dollars and the largest value is max = 2500 dollars, therefore, the range is Range = max - min = 2500 - 40 = 2460 dollars. On the other hand, the formula to compute the sample variance is 
where 
is the sample mean, n is the sample size and the 
are the sample values. In this case the sample variance is 
= 516414.6 , the sample standard deviation is defined as the squared root of the sample variance, so, the sample standard deviation is s = 718.6199 dollars. There are two outliers because 1750 dollars and 2500 dollars are very different compared to the other values, these two numbers are very large and they are likely to have much of an effect on the measures of variation because these measures are sensible to outliers, they are no robust measures.
The square of a positive integer added to 4 times the integer is 437..
x2 + 4x = 437
I chose to do this by completing the square..
x2+4x+4 = 437 + 4
(x+2)2 = 441
Take square root of both sides
x+2 = ±√441
x = -2 ± 21
x = -23 or x = 19
x = 19
Answer:
Step-by-step explanation:
The volume of a triangular pyramid can be found using the following formula:
Basically, we have to multiply 1/3, the height, and the base area.
We know that the base area is 8.2 square centimeters and the height is 4 centimeters.
Substitute the values into the formula.
Multiply 8.2 square centimeters and 4 centimeters.
Multiply 1/3 and 32.8 cubic centimeters.
Round to the nearest tenth.
The 3 in the hundredth place tells us to leave the 9 in the tenth place.
The volume of the triangle pyramid is about 10.9 cubic centimeters.
2) By definition of the midpoint point. If a point is in the middle of a segment, then the two resulting segment are equal.
3) Obvious, the point K is on the line MJ.
6) From statement 5 and the property of fractions.
8) SAS statement of congruent triangles (notice the two triangles share on common angle which is between the two proportional sides)
9) The two corresponding sides are congruent.
10) The constant of proportionality is 2.
11) From statement 10.
