Answer:
36,060,024 ways
Step-by-step explanation:
To choose the winner in this case, the order is very important because it determines who is chosen first out of the seventy-nine customers whose names were entered for the draw.
The above supports the reason Permutation will be used instead of Combination.
The total number of ways is given by:
⁷⁹P₄ = 79!/(79-4)!
= 79!/75!
= [79 x 78 x 77 x 76 x75!]/75!
= 79 x 78 x 77 x 76
= 36,060,024 ways
This implies that there are 36,060,024 ways the Bean Coffee Shop could choose the winners.
Answer 79,000
explanation 1 ton is 32,000 ounces and you have 2 so you would have 64,000 and you add the extra 15,000 to get 79,000
Answer:
t = 17.3
Step-by-step explanation:
The following data were obtained from the question:
Angle T = 87°
Opposite T = t =?
Opposite V = v = 14
Opposite U = u = 11
The value of t can be obtained by using cosine rule formula as shown below:
t² = v² + u² – 2vu CosT
t² = 14² + 11² – 2 × 14 × 11 × Cos87°
t² = 196 + 121 – 308 × Cos87°
t² = 317 – 16.119
t² = 300.881
Take the square root of both side
t = √300.881
t = 17.3
Therefore, the value of t is 17.3
4y = -23 + 39
4y = 16
y = 4
Sub y = 4 into equation 2
7x + 6(4) = -39
7x + 24 = -39
7x = -39-24
7x = -63
x = -9
x = -9
y = 4
