Answer:
616/2500
Step-by-step explanation: You first have to find the number of times a Blue marbles was chosen: 22
Then find the total number of marbles that were chosen. Make a fraction out of it: 22/50
You then see how many times tails was flipped: 28
Do the same thing again: 28/50
Then multiply the two fractions together:
22/50 * 28/50 = 616/2500
1: always rearrange the equation to y = mx + c so....
x - y = o
x = y
So the gradient is 1 and it intersects the y axis at (0,0)
The three points could be (1,1), (2,2), (3,3) and so on
2: -x -2y = -10
Multiply everything by -1
x + 2y = 10
2y = 10 - x
y = 5 - x/2
The y intercept is 5 so you could use the point (0,5), (2,4), (4,3) and so on
3: x + y = -2
y = -2 - x
The y intercept is -2 so you could use the points (0,-2), (2,-4), (3,-5) and so on
4: -3y =-x -7
Multiply everything by -1
3y = x + 7
y = x/3 + 7/3
The y intercept is 7/3 so you could use the points (0,7/3), (3,10/3), (6,13/3) and so o
5: -y = -x + 1
y = x - 1
The y intercept is -1 so you could use the points (0,-1), (2,1), (3,2) and so on
Hope this helps! Any questions let me know :)
At each step, you determine the quotient term by dividing the highest-degree term of the dividend by the highest degree term of the divisor. When you can't do that anymore, you're done and the remaining dividend is the remainder.
Here, the highest-degree dividend term is x^2 and the highest-degree divisor term is x. Their ratio, x^2/x = x, is the first quotient term. In the usual manner of long division, you subtract the product of this quotient term and the divisor to get the new dividend.
For this problem, the quotient is (x -5) and the remainder is 5. You can write the result as
(x² -10x +30)/(x -5) =
(x -5) +5/(x -5)
From the table,
P(selecting a 3) = 0.15
which means that,
P(not a 3) = 1 - P(selecting a 3)
P(not a 3) = 1 - 0.15
P(not a 3) = 0.85
Answer is 0.85
The equation of an ellipse is:
(x-h)²/a² + (y-k)²/b², where h, k are the coordinates of the center, a & b represent half of the major & minor axis respectively.
The given equation is:
x²/100 + y²/36 = 1.( a =10 and b = 6)
CENTER: Since h and k = 0, then the center of this ellipse is the origin (0,0)
VERTICES: a² = 100, → a = +10 and a = -10, then the right vertex is (10,0) and the left vertex is (-10,0)
FOCI: The distance "c" from the center to the focus is given by the following:
c² = a² - b²
c² = 100 - 36 = 64 and c = +8 and - 8
The coordinate of the right focus F₁(8,0) and F₂(-8,0) for the left focus
