Hello!
Since we want to find out how many rooms will be needed for 44 people, we must use division.
44 ÷ 5 = 8.8
Check by multiplying:
5 × 8 = 40
Because 40 is less than the amount of people (44), we'll need to multiply by the next number in line (9):
5 × 9 = 45 (1 extra person, no biggie!)
The tour group will need 9 rooms.
It is 28 because you have to take the median out then go to the first set of data and find the median of that.
<h2>Answer- P=<u>18</u></h2>
Step-by-step explanation:
Greetings !
Firstly, find the class-midpoints (X) to solve for the mean.
Thus, mid points of each classes are
![5.15.25.35.45](https://tex.z-dn.net/?f=5.15.25.35.45)
Solve, for <em>p</em><em> </em>using mean grouped data formula
![\frac{5(3) + 15(4) + 25(p) + 35(3) + 45(2)}{3 + 4 + p + 3 + 2} = 24](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%283%29%20%2B%2015%284%29%20%2B%2025%28p%29%20%2B%2035%283%29%20%2B%2045%282%29%7D%7B3%20%2B%204%20%2B%20p%20%2B%203%20%2B%202%7D%20%20%3D%2024)
multiply each values add them and solve for <em>p</em><em>.</em>
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make a cross multiplication
![270 + 25p = 24(12 + p) \\ 270 + 25p = 288 + 24p](https://tex.z-dn.net/?f=270%20%2B%2025p%20%3D%2024%2812%20%2B%20p%29%20%20%5C%5C%20270%20%2B%2025p%20%3D%20288%20%2B%2024p)
subtract 270 from both sides
![270 + 25p - 270 = 288 + 24p - 270 \\ 25p = 24p + 18](https://tex.z-dn.net/?f=270%20%2B%2025p%20-%20270%20%3D%20288%20%2B%2024p%20-%20270%20%5C%5C%2025p%20%3D%2024p%20%2B%2018)
subtract <em>24</em><em>p</em><em> </em>from both sides
![25p - 24p = 24p + 18 - 24p \\ p = 18](https://tex.z-dn.net/?f=25p%20-%2024p%20%3D%2024p%20%2B%2018%20-%2024p%20%5C%5C%20p%20%3D%2018)
Also refer the attached image for further details
Hope it helps!
If Bob can paint the fence in 4 hours, then in 1 hour he gets 1/4 of the fence painted. If Sarah can paint the fence in 2.5 hours, then she gets 2/5 of the fence painted in one hour (1/2.5 = 2/5). We add those amounts together and set them equal to 1/x, x being the the total time it will take them to paint the whole fence. 1/4 + 2/5 = 1/x. Find a common denominator first, then add the left side together. 5/20 + 8/20 = 1/x. 13/20 = 1/x. Cross-multiply to get 13x = 20 and x = 1.54 hours, just a bit over an hour and a half.