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Nimfa-mama [501]
3 years ago
10

What is the solution to this system of equations x-3y=-2 x+3y=16

Mathematics
1 answer:
Vlad1618 [11]3 years ago
6 0
X- 3y = -2
x + 3y = 16
----------------add
2x = 14
x = 14/2
x = 7

x + 3y = 16
7 + 3y = 16
3y = 16 - 7
3y = 9
y = 9/3
y = 3

solution is : (7,3)
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A game is played using ne die. If the die is rolled and shows 3, the player wins $45. If the die shows any number other than 3,
I am Lyosha [343]

Answer:

-$13.5

Step-by-step explanation:

Let x be a random variable of a count of player gain.

- We are told that if the die shows 3, the player wins $45.

- there is a charge of $9 to play the game

If he wins, he gains; 45 - 9 = $36

If he looses, he has a net gain which is a loss = -$9

Thus, the x-values are; (36, -9)

Probability of getting a 3 which is a win is P(X) = 1/6 since there are 6 numbers on the dice and probability of getting any other number is P(X) = 5/6

Thus;

E(X) = Σ(x•P(X)) = (1/6)(36) + (5/6)(-9)

E(X) = (1/6)(36 - (5 × 9))

E(X) = (1/6)(36 - 45)

E(X) = -9/6 = -3/2

E(X) = -3/2

This represents -3/2 of $9 = -(3/2) × 9 = - 27/2 = -$13.5

3 0
2 years ago
Find the 100th term for the sequence. -9,-4, 1, 6, 11, .......
Paraphin [41]

Answer:

486

Step-by-step explanation:

for the 2nd term, add 5 to -9

for the 3rd, add 5 × 2 to -9

for the 4th, add 5 × 3 to -9

:

for the 100th, add 5 × (100 - 1) to -9

=> 5 × 99 + (-9)

=> 486

8 0
2 years ago
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