To eliminate a cariable in a system of equations, we multiply the variable by a factor that will make both coefficients of the variable to be equal.
Thus, we multiply the coefficient of y in the second equation by a factor that will make it equal to the coefficient of y in the first equation. i.e. multiply 1/2 by a factor that makes it equal to 3/4. and the factor is 3/2.
Therefore, the third option is the correct answer.
To answer this (specifically the first one) you have to count how many spaces each point moves. (How many spaces up/down does it go? Left/right?) then you put rise (up/down) over run (left/right) and you should get the slope!
You find the mean by adding each value then dividing the sum by the number of values there were so in this case you'd say 301 + 222 + 287 + 310 + 346 which is 1466 then divide by 5 because there are 5 values and your answer is 293.2!
I hope this helps
What you want is P(6∩1) or P(1∩6) or P(2∩5) or P(5∩2) or P(3∩4) or P(4∩3).
The events of rolling the dice are independent (i.e. they don't affect one another) so:
E.g.
P(6∩1) = P(6) * P(1)
P(2∩5) = P(2) * P(5)
The probability of getting a given number on a roll is 1/6 for both dice.
So:
P(6∩1) = 1/6 * 1/6 = 1/36
This is the same for any arrangement of numbers you could get from rolling two dice.
So, we can see that there are 6 arrangements of numbers that will give a sum of 7 and so that is 6 * 1/36 = 6/36 = 1/6
P(score > 334) ≈ .0227501319
