What is the solution to the system of equations represented by the two equations?

1 answer:

8 0

Just substitute the first equation into the second and solve for x: 32x=−12x+4⟹2x=4⟹x=2Now, since y = 3/2 * x, we have y = 3 and we are done.

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A casino features a game in which a weighted coin is tossed several times. The table shows the probability of each payout amount

kkurt [141]

Answer:

The expected payout of the game is $230.46.

Step-by-step explanation:

The given table is

Payout Amount : $160 $4400 $145000

Probability : 0.146 0.024 0.0007

We need to find the expected payout of the game.

The formula for expected payout is

$\text{Expected payout}=\sum n_iP(x_i)$

where, n is amount and P(x) is probability of that event. The value of n is negative for loss.

Using the above formula we get

$\text{Expected payout}=160\times 0.146+4400\times 0.024+145000\times 0.0007$

$\text{Expected payout}=23.36+105.6+101.5$

$\text{Expected payout}=230.46$

Therefore the expected payout of the game is $230.46.

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The area formula for a parallelogram is base*height=area. Make an equation. You know the area and the height, so plug that into the equation, and you get x*18=396. Solve for x by dividing 396 by 18 and you get 22. So, the base is 22cm.

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