The values of x and y from the figure are 22.5 and 10 respectively
<h3>Vertical angles</h3>
The angles that meet at a point X are equal and vertically opposite
From the diagram shown
6x - 5 = 8x - 50
6x - 8x = -50 + 5
-2x = -45
x = 22.5
Similarly
2y + 30 = 3y + 20
2y - 3y = 20 - 30
-y = -10
y = 10
Hence the values of x and y from the figure are 22.5 and 10 respectively
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Answer:
-2005904.44886
Step-by-step explanation:
Let Fn be the number of ways of arranging such flagpole with the given conditions.
When arranging a flagpole of n feet high, consider the following cases
If the last flag used is a red flag, then the other flags are n-1 foot high, so they can be seen as arranged on a smaller flagpole of n-1 feet high, which can be done in Fn-1 ways.
Similarly, If the last flag used is a gold flag, then the other flags can be seen as arranged on a smaller flagpole of n-1 feet high. This can be done in Fn-1 ways.
If the last flag used is green, the other flags are n-2 feet high, so the flagpole can be arranged in Fn-2 ways.
Using the sum rule, we obtain that Fn = 2Fn-1 + Fn-2 for all n≥3. Listing all the combinations of flags, the initial conditions are F1 = 2 and F2 = 3.
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Answer: $375
Step-by-step explanation:
Given : The probability of winning $100 : P(100)= 0.25
The probability of winning $200 : P(200)= 0.50
The probability of winning $1000 : P(1000)= 0.25
Now, the the expected value of that lottery ticket is given by :-
Hence, the the expected value of that lottery ticket =$375