Answer: C
Step-by-step explanation:
We can start by eliminating y. Seeing as they already have opposite coefficients, no multiplication or division needs to be done. So, add the two equations together. 3.2x + (-1.6x) = 1.6x. 4.2 + 3.4 = 7.6. 0.5y + (-0.5y) = 0. This leaves us with 1.6x = 7.6. Now divide both sides by 1.6 to get x = 4.75.
Now we can eliminate x. Since the coefficients of x are not opposites, we need to multiply the bottom equation by 2 on both sides. That leaves us with -3.2x - y = 6.8. Now we can add both equations together. 3.2x + (-3.2x) = 0. 0.5y + (-y) = -0.5y. 4.2 + 6.8 = 11. This leaves us with -0.5y = 11. Divide both sides by -0.5 to get y = -22.
Therefore the answer is B: (4.75, -22)
Answer:
Length of arc = 0.628 r
Step-by-step explanation:
Given:
∠ AOB = 36°
Radius = (r)
Find:
Length of arc AB = ?
Computation:

Length of arc = 0.628 r
Answer:
1.875
Step-by-step explanation:
To find the expected winnings, we need to find the probability of all cases possible, multiply each case by the value of the case, and sum all these products.
In the die, we have 6 possible values, each one with a probability of 1/6, and the value of each output is half the value in the die, so we have:



Now, analyzing the coin, we have heads or tails, each one with 1/2 probability. The value of the heads is 2 wins, and the value of the tails is the expected value of the die we calculated above, so we have:




6x=15
Then you will divide 6 to each side of the equal sign like so:
6/6x=15/6
Which will then leave you an answer of:
x=2.5