Solve for x. The triangles are similar

Mathematics

1 answer:

Y_Kistochka [10]3 years ago

3 0

On number 10, you know that the whole side length is going to be 1/4 of 48 because 9 * 4 = 36. So, you can say that x will be equal to 12, since 1/4 of 48 is 12 and 12*2 + -12 = 12.

On number 11, you can say that 5x +5 = 40 because that is 5 times 8. So, you can solve for this to get x = 7 by subtracting 5 from both sides and then dividing both sides by 5. Hope this helps and let me know if you have more questions!

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In the game of roulette, a wheel consists of 38 slots numbered 0, 00, 1, 2,..., 36. To play the game, a metal ball is spun a

Oxana [17]

Answer:

$E(X)=-0.0526$

$Sd(X)=5.763$

Step-by-step explanation:

In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".

The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).

And the standard deviation of a random variable X is just the square root of the variance.

Let X be a random variable which denotes the money you may win or lose on each spin.

In the game of roulette, a wheel consists of 38 slots. To play the game, a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots. If the number of the slot the ball falls into matches the number you selected, we win $35; otherwise we lose $1. So we have just one possibility to win and 37 of lose on an individual game.

___________________________

X P(X)

___________________________

35 1/38

-1 37/38

___________________________

In order to calculate the expected value we can use the following formula:

$E(X)=\sum_{i=1}^n X_i P(X_i)$