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.
Given =
Two similar pyramid have base area of 12.2 cm² and 16 cm².
surface area of the larger pyramid = 56 cm²
find out the surface area of the smaller pyramid
To proof =
Let us assume that the surface area of the smaller pyramid be x.
as surface area of the larger pyramid is 56 cm²
Two similar pyramid have base area of 12.2 cm² and 16 cm².
by using ratio and proportion
we have
ratio of the base area of the pyramids : ratio of the surface area of the pyramids
x = 12.2 ×56×
by solvingthe above terms
we get
x =42.7cm²
Hence the surface area of the smaller pyramid be 42.7cm²
Hence proved
Letter D it’s incorrect, not sure tho
Number of people that chose salad = 81
Percentage of people that chose salad over meat dish = 27%
Let us assume the number of people on the survey = x
Then
27% * x = 81
(27/100) * x = 81
27x = 81 * 100
27x = 8100
x = 8100/27
= 300
So a total of 300 people participated in the survey.I hope the procedure is clear enough for you to understand. Based on this method you can always solve similar types of problems without requiring any kind of help from outside.
Length=3width-5
(2(x))+(2(3x-5)=46
2x+6x+10=46
8x=56
x=7
width=7 length=16
