Answer:
210 miles in 1 hour
Step-by-step explanation:
steps are in picture
Answer:
<u>Final </u><u>answer </u><u>-</u>
![number \: of \: 50 \: paise \: coins \: in \: the \: bag = 4x \\ \dashrightarrow{4 \times 12 = 48 \: coins}](https://tex.z-dn.net/?f=number%20%5C%3A%20of%20%5C%3A%2050%20%5C%3A%20paise%20%5C%3A%20coins%20%5C%3A%20in%20%5C%3A%20the%20%5C%3A%20bag%20%3D%204x%20%5C%5C%20%5Cdashrightarrow%7B4%20%5Ctimes%2012%20%3D%2048%20%5C%3A%20coins%7D)
hope helpful :D
Answer: The required expected value is $3.46.
Step-by-step explanation:
Since we have given that
Number of value of 4 or less are
2,3,4
So, there are 12 in numbers.
So, probability would be
![\dfrac{12}{52}](https://tex.z-dn.net/?f=%5Cdfrac%7B12%7D%7B52%7D)
Since Aces are considered as the highest card in the deck.
So, remaining probability would be
![\dfrac{40}{12}](https://tex.z-dn.net/?f=%5Cdfrac%7B40%7D%7B12%7D)
Amount paid or value of 4 or less = $165
Amount not paid for other case = $45
So, the expected value would be
![\dfrac{12}{52}\times 165-\dfrac{40}{52}\times 45\\\\=\dfrac{1980}{52}-\dfrac{1800}{52}\\\\=\dfrac{180}{52}\\\\=3.46](https://tex.z-dn.net/?f=%5Cdfrac%7B12%7D%7B52%7D%5Ctimes%20165-%5Cdfrac%7B40%7D%7B52%7D%5Ctimes%2045%5C%5C%5C%5C%3D%5Cdfrac%7B1980%7D%7B52%7D-%5Cdfrac%7B1800%7D%7B52%7D%5C%5C%5C%5C%3D%5Cdfrac%7B180%7D%7B52%7D%5C%5C%5C%5C%3D3.46)
Hence, the required expected value is $3.46.
Answer:
In repeated sampling, 95% of the intervals constructed would contain the population mean.
Plug in m/4 into the equation:
![8 (\frac{m}{4})^{2} - 4(\frac{m}{4})](https://tex.z-dn.net/?f=8%20%28%5Cfrac%7Bm%7D%7B4%7D%29%5E%7B2%7D%20-%204%28%5Cfrac%7Bm%7D%7B4%7D%29)
Solve the parentheses in the equation:
![\frac{m}{4}^{2} = \frac{m}{4} \times \frac{m}{4} = \frac{m^{2}}{16}](https://tex.z-dn.net/?f=%5Cfrac%7Bm%7D%7B4%7D%5E%7B2%7D%20%3D%20%5Cfrac%7Bm%7D%7B4%7D%20%5Ctimes%20%5Cfrac%7Bm%7D%7B4%7D%20%3D%20%5Cfrac%7Bm%5E%7B2%7D%7D%7B16%7D)
![8 \times \frac{m^{2}}{16} = \frac{8m^{2}}{16} = \frac{m^{2}}{2}](https://tex.z-dn.net/?f=8%20%5Ctimes%20%5Cfrac%7Bm%5E%7B2%7D%7D%7B16%7D%20%3D%20%5Cfrac%7B8m%5E%7B2%7D%7D%7B16%7D%20%3D%20%5Cfrac%7Bm%5E%7B2%7D%7D%7B2%7D%20)
![4 \times \frac{m}{4} = \frac{4m}{4} = m](https://tex.z-dn.net/?f=4%20%5Ctimes%20%5Cfrac%7Bm%7D%7B4%7D%20%3D%20%5Cfrac%7B4m%7D%7B4%7D%20%3D%20m)
Your equation should now look like this:
![\frac{m^{2}}{2} - m](https://tex.z-dn.net/?f=%5Cfrac%7Bm%5E%7B2%7D%7D%7B2%7D%20-%20m)
The answer is
D.