A study is published with information about ages of people in a particular region. A sample of five residents from the region have the following ages, in years. 50 57 9 30 29

Determine the range of these ages. Range=

a. Find the sample standard deviation of these ages by using the defining formula s equals StartRoot StartFraction Summation from nothing to nothing left parenthesis x Subscript i Baseline minus x overbar right parenthesis squared Over n minus 1 EndFraction EndRoots=∑xi−x2n−1, where n is the sample size and x overbarx s the sample mean.

b. Find the sample standard deviation of these ages by using the computing formula s equals StartRoot StartFraction Summation from nothing to nothing x Subscript i Superscript 2 Baseline minus left parenthesis Summation from nothing to nothing x Subscript i right parenthesis squared divided by n Over n minus 1 EndFraction EndRoots=∑x2i−∑xi2/nn−1,where n is the sample size.

Compare your work in a and b.

  q

step-by-step explanation:

each line from a vertex to the midpoint of the opposite side is called a median. the point where the medians intersect, point q, is the centroid.

the centroid of δabc is point q.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

the answer for this question is : 360°

step-by-step explanation:

we have been given a triangle   we need to tell which one of these is a triangle below to map onto itself.

360° rotation is the complete rotation which eventually leads to the same figure which is given.

the correct will be, that is 360° that will cause the triangle below to map onto itself.