Answer:
Come out even
Step-by-step explanation:
The total numbers of faces in rolling two dice = 6 X 6 = 36
The sum of appears in the following cases: {6, 1}, {1, 6}, {2, 5}, {5, 2}, (3, 4}, {4, 3}. Making a total of 6 cases
Probability of obtaining a sum of 7 = possible number of cases where the sum of 7 appears ÷ total number of outcome
= 6/36 = 1/6
Probability of not obtaining a sum of 7 = 1 - Probability of obtaining a sum of 7
= 1 - 1/6
= 5/6
Expected Value: (1/6)10 + (5/6)(-2) = (10-10)/6 = 0
So the answer is come out even
Answer:
75°
Step-by-step explanation:
In a parallelogram, any two adjacent angles are supplementary. In other words, they total 180.
Angle D and Angle E are adjacent. Thus, they are supplementary. In other words:
Substitute them for the equations:
Combine like terms and add on the left:
Subtract 36 from both sides:
Divide both sides by 12:
Thus, the value of x is 12.
Note that Angle D and Angle C are also adjacent. Thus, their angles also equal 180.
So:
Substitute the equation for D:
Plug in 12 for x:
Simplify:
Subtract 105 from both sides:
Thus, Angle C is 75 degrees.
Answer:
a
Step-by-step explanation:
complementary angles sum to 90° , so
3x + 4 + 6x - 4 = 90
9x = 90 ( divide both sides by 9 )
x = 10
The answer is 35. To find it, put the numbers in chronological order, the split the set in half. Find the middle of the first half, which is 49. Then, find the middle of the second half, which is 84. Lastly, subtract 49 from 84 to get 35! Hope that helps!
Answer:
D
Step-by-step explanation:
To multiply
(5x² - 6x + 2)(4x² - 3x)
Each term in the second factor is multiplied by each term in the first factor, that is
5x²(4x² - 3x) - 6x(4x² - 3x) + 2(4x² - 3x) ← distribute parenthesis
= 20 - 15x³ - 24x³ + 18x² + 8x² - 6x ← collect like terms
= 20 - 39x³ + 26x² - 6x → D