<u><em>Answers:</em></u>
(2,1)
(1,3)
<u><em>Explanation:</em></u>
Assume that the number of hot dogs is x and the number of water bottles is y.
<u>We are given that:</u>
1- cost of hot dog is $4
2- cost of water is $2
3- total profit was less than $12
<u>This means that:</u>
4x + 2y < 12
<u>We will check the options that satisfy the above inequality:</u>
<u>Option 1: (-1,5):</u>
This option is rejected as we cannot sell -1 hot dog
<u>Option 2: (0,6):</u>
4x + 2y = 4(0) + 2(6) = 12
12 is not less than 12
This option is incorrect
<u>Option 3: (2,1):</u>
4x + 2y = 4(2) + 2(1) = 8 + 2 = 10
10 is less than 12
This option is correct
<u>Option 4: (1,1.5):</u>
This option is incorrect as we cannot sell 1.5 bottle of water
<u>Option 5: (1,3):</u>
4x + 2y = 4(1) + 2(3) = 4 + 6 = 10
10 is less than 12
This option is correct
<u>Option 6: (2,2):</u>
4x + 2y = 4(2) + 2(2) = 8 + 4 = 12
12 is not less than 12
This option is incorrect
Hope this helps :)
P = Number of ways of getting only 4 at the last trial / Total number of waysNumber of ways of getting only 4 at the last trial = 5 * 5 * 5 * 1 = 125 (for the first three trials, all but 4 is permissible (6 - 1 = 5 ways), and for the last trial, only 4 is permissible (1 way)).Total number of ways = 6 * 6 * 6 * 6 = 1296.P = 125/1296.
I hope my answer has come to your help. Thank you for posting your question here in Brainly.
The item(letter) that is different from the other three is H.
The other letters(A, I, E) are all vowels, while H is not.
