If exactly one woman is to sit in one of the first 5 seats, then it means that 4 men completes the first 5 seats.
No of ways 4 men can be selected from 6 men = 6C4 = 15
No of ways 4 men can sit on 5 seats = 5P4 = 120
No of ways 1 woman can be selected fom 8 women = 8C1 = 8
No of ways 1 woman can sit on 5 seats = 5P1 = 5
No of ways <span>that exactly one woman is in one of the first 5 seats = 15 * 120 * 8 * 5 = 72,000
No of ways 14 people can be arranged in 14 seats = 14!
Probability that exactly one woman is in one of the first 5 seats = 72,000 / 14! = 0.0000008259 = 0.000083%
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Step-by-step explanation:
Zn + 2HCl => ZnCl2 + H2
Moles of Zn = 13g / (65.38g/mol) = 0.198mol
Volume of HCl = 0.396mol / (0.25mol/dm³) = 1.58dm³.
Volume of H2 = 0.198mol * (22.4dm³/mol) = 4.43dm³.
Answer:
see explanation
Step-by-step explanation:
Given
2BD = 7BT , then
2(d - b ) = 7(t - b) ← distribute both sides
2d - 2b = 7t - 7b ( add 7b to both sides )
2d + 5b = 7t, thus
2![\left[\begin{array}{ccc}10.5\\10\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D10.5%5C%5C10%5C%5C%5Cend%7Barray%7D%5Cright%5D)
+ 5![\left[\begin{array}{ccc}0\\3\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%5C%5C3%5C%5C%5Cend%7Barray%7D%5Cright%5D)
= 7t
![\left[\begin{array}{ccc}21\\20\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D21%5C%5C20%5C%5C%5Cend%7Barray%7D%5Cright%5D)
+ ![\left[\begin{array}{ccc}0\\15\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%5C%5C15%5C%5C%5Cend%7Barray%7D%5Cright%5D)
= 7t
![\left[\begin{array}{ccc}21\\35\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D21%5C%5C35%5C%5C%5Cend%7Barray%7D%5Cright%5D)
= 7t , thus
t = 
= ![\left[\begin{array}{ccc}3\\5\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%5C%5C5%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Hence T = (3, 5 )
113.09 because you divide the 12 by two because the rule
