24000 + 3000x = 30000 + 2400x
3000x - 2400x = 30,000 - 24,000
600x = 6000
x = 6000/600
x = 10 years
We can calculate using cosinus method in triangle
c² = a² + b² - 2ab cos c
Plug in the number to the formula
c² = a² + b² - 2ab cos c
c² = 10² + 8² - 2(10)(8) cos 105°
c² = 100 + 64 - 160 cos 105°
c² = 164 - 160 (-0.26)
c² = 164 + 41.6
c² = 205.6
c = √205.6
c =14.34
C is 14.34 unit length
Answer:
cost of large delivery truck = $60,000
cost of small delivery truck = $45,000
Step-by-step explanation:
let,
the cost of large delivery truck = 'x'
the cost of small delivery truck = 'y'
Now, according to the question,
3x + 2y = 270000
4x + 3y = 375000
By solving the above 2 equation , we get;
x = 60000
y = 45000
Answer:
-189
Step-by-step explanation:
Remember to follow the rules of signs:
- If there are two positive signs next to each other, you add:
- If there is one negative sign and one positive sign next to each other, you subtract.
- If there is two negative signs next to each other, you add:
- 412 - (-223) = -412 + 223
Subtract:
223 - 412 = -189
-189 is your answer.
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Answer:
Observe that the first and the second player have equal probability to get any of number. Using the principle of that symmetry, we have that

<u>Event X = 1 </u>means that the first player has got greater number than the second player, but not than the third player. So, choose any three numbers out of five of them and say that the minimal number out of these three goes to the second player, mean number to the first one and the largest to the third one. Permute remaining two numbers on remaining two people. Hence

<u>Event X = 2</u> means that the first player has got greater number than the second and the third player, but not than the fourth player. So, choose any four numbers out of five of them and say that the minimal number and the next minimal out of these four go to the second and the third player (and permute them), third number to the first one and the largest to the fourth player. Give remaining number to the last person. Hence

<u>Event X = 3</u> means that the first player has got greater number than the second, the third, and the forth player, but not than the fifth player. So, permute these five numbers as follows: give the highest to the last person, the second highest to the first, and permute remaining numbers on the remaining people. Hence

<u>Event X = 4</u> means basically the first player has won all the battles i.e, he has got the greatest number. Hence
