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: 0.29
Step-by-step explanation: The first thing that you need to know is that a ton equals 2,000 pounds. Therefore, 6,000 pounds of rocks cost $1,740. In order to solve the problem you need to divide $1,740 by 6,000. 1,740 / 6,000 = .29
Each pound cost $ 0.29. (29 cents)
Answer:
75
Step-by-step explanation:
75m/hr
Answer:
6 7/15 cups
Step-by-step explanation:
Add the two measures:
3 4/5 + 2 2/3 = 3 12/15 + 2 10/15 = (3+2) +(12/15 +10/15) = 5 +22/15
= 6 7/15
Leibniz used 6 7/15 cups of flour.
1 + 1 = 2
2 + 2 = 4
4 + 3 = 7
7 + 4 = 11
11 + 5 = 16
The answer is 16.