Answer:
5.2, 4.94; 500 repetitions should be closer to the population mean
Step-by-step explanation:
A. Mean of 50 repetitions
![\begin{array}{rrr}\\\mathbf{f} &\mathbf{x} &\mathbf{f\cdot x}\\0 & 0 & 0\\1 & 0 & 0\\2 & 1 & 2\\3 & 5 & 15\\4 & 9 & 36\\5 & 16 & 80\\6 & 10 & 60\\7 & 6 & 42\\8 & 2 & 16\\9 & 1 &9\\10 & 0 & 0\\\text{Sum =}&\mathbf{50} &\mathbf{260}\\\end{array}\\\\\text{Mean} = \dfrac{\sum{f \cdot x}}{n} = \dfrac{260}{50} = \mathbf{5.20}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brrr%7D%5C%5C%5Cmathbf%7Bf%7D%20%26%5Cmathbf%7Bx%7D%20%26%5Cmathbf%7Bf%5Ccdot%20x%7D%5C%5C0%20%26%200%20%26%200%5C%5C1%20%26%200%20%26%200%5C%5C2%20%26%201%20%26%202%5C%5C3%20%26%205%20%26%2015%5C%5C4%20%26%209%20%26%2036%5C%5C5%20%26%2016%20%26%2080%5C%5C6%20%26%2010%20%26%2060%5C%5C7%20%26%206%20%26%2042%5C%5C8%20%26%202%20%26%2016%5C%5C9%20%26%201%20%269%5C%5C10%20%26%200%20%26%200%5C%5C%5Ctext%7BSum%20%3D%7D%26%5Cmathbf%7B50%7D%20%26%5Cmathbf%7B260%7D%5C%5C%5Cend%7Barray%7D%5C%5C%5C%5C%5Ctext%7BMean%7D%20%3D%20%5Cdfrac%7B%5Csum%7Bf%20%5Ccdot%20x%7D%7D%7Bn%7D%20%3D%20%5Cdfrac%7B260%7D%7B50%7D%20%3D%20%5Cmathbf%7B5.20%7D)
B. Mean of 500 repetitions
![\begin{array}{rrr}\\\mathbf{f} &\mathbf{x} &\mathbf{f\cdot x}\\0 & 2 & 0\\1 & 5 & 5\\2 & 24 & 48\\3 & 57 & 171\\4 & 111 & 444\\5 & 111 & 555\\6 & 110 & 660\\7 & 56 & 392\\8 & 21 & 168\\9 & 3 &27\\10 & 0 & 0\\\text{Sum =}&\mathbf{500} &\mathbf{2470}\\\end{array}\\\\\text{Mean} = \dfrac{\sum{f \cdot x}}{n} = \dfrac{2470}{500} = \mathbf{4.94}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brrr%7D%5C%5C%5Cmathbf%7Bf%7D%20%26%5Cmathbf%7Bx%7D%20%26%5Cmathbf%7Bf%5Ccdot%20x%7D%5C%5C0%20%26%202%20%26%200%5C%5C1%20%26%205%20%26%205%5C%5C2%20%26%2024%20%26%2048%5C%5C3%20%26%2057%20%26%20171%5C%5C4%20%26%20111%20%26%20444%5C%5C5%20%26%20111%20%26%20555%5C%5C6%20%26%20110%20%26%20660%5C%5C7%20%26%2056%20%26%20392%5C%5C8%20%26%2021%20%26%20168%5C%5C9%20%26%203%20%2627%5C%5C10%20%26%200%20%26%200%5C%5C%5Ctext%7BSum%20%3D%7D%26%5Cmathbf%7B500%7D%20%26%5Cmathbf%7B2470%7D%5C%5C%5Cend%7Barray%7D%5C%5C%5C%5C%5Ctext%7BMean%7D%20%3D%20%5Cdfrac%7B%5Csum%7Bf%20%5Ccdot%20x%7D%7D%7Bn%7D%20%3D%20%5Cdfrac%7B2470%7D%7B500%7D%20%3D%20%5Cmathbf%7B4.94%7D)
500 repetitions should be closer to the population mean because. Per the Central Limit Theorem, the mean of the sample should approach the mean of the population as the sample size increases.
Answer:
a = 29
Step-by-step explanation:
Answer:
(a) points are; Y, X,V and Z
(b)a and b
(c) D
(d) a
(e) W
(f) line bisector.
(g) Y,X,W or VZW
(h)YXW or VZW
Step-by-step explanation:
(a)A point is an exact position on a plane surface usually indicated as a dot and has no size.In the figure, points are; Y, X,V and Z
(b) A line is a line of points which is extending infinitely in two directions.The lines appearing in this figure are; a and b
(c)A plane is a flat surface made of points which extend infinitely in all directions. The plane in the figure is D
(d)A line containing point V is that one which has the point V that extends infinitely in two directions. The line with point V is a
(e)An intersection point is where two lines meet at right-angle.The intersection point of line a and b is W
(f) A line that bisects another line segment into two equal parts is called a line bisector.
(g)Non-collinear points are those points which do not lie on the same line.In this case, points Y and X are non-collinear and points Z and V are also non-collinear
(h)A plane has two dimensions , extends without ending and its shape looks like that of a floor. Any three points not on the same line represents a plane.In this case, plane D is also called plane YXW
Answer:
I believe Claire makes $24.50 and Brooklyn makes $14.50, so if you wanted to make Brooklyn walk an extra hour, she would have 24.00 adding the supply fee which is $5 which would make it $29.00.
Now i am going to try to actually solve it
8.50x15=127.5
9.50x5=47.5
9.50x13=123.5
this is so wrong i am so sorry, i just hope this helps you understand your question a bit more!
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
3x + x - 13 + 4 - 6x = 12
we try to combine the elements with the same power of x (including the ones without any x) :
3x + x - 6x
-13 + 4
so, we get
-2x - 9 = 12
-2x = 21
x = -21/2