At first there are three marbles for Sam to pick from. the possibility of drawing a colored marble is 2/3. if Sam picks one of the colored marbles, the possibility of therefore (if he'd drawn the colored marble) drawing the second colored marble is 1/2. for the possibility of those happening consequently, we have to multiply the possibilities. 2/3 * 1/2 is 2/6 is 1/3. which means Sam wins in 33.333...% cases. Julie has a better chance of winning.
adding a white marble would change the possibilities to 1/2 and 1/3 consequently, meaning Sam wins in 1/2 * 1/3 = 1/6 = 16.7% cases, which is even less fair.
adding a colored marble would change the possibilities to 3/4 and 2/3 consequently, meaning Sam wins in 3/4 * 2/3 = 6/12 = 50% cases, which finally makes the game fair.
Answer:
x=7
y=18
The length of each of the two shorter sides is 14.
The length of each of the two longer sides is 19.
Step-by-step explanation:
2x+5 = x+12 and y-4 = x+5
Solve for x first
2x+5-5 = x+12-5 Subtract 5 from both sides to eliminate it.
2x-x = x-x+7 Subtract x from both sides to eliminate it.
x=7 Now, substitute 7 for x in y-4 = x+5 to solve for y.
y-4 = (7)+5
y-4 = 12
y-4+4 = 12+4 Add 4 to both sides to eliminate it.
y = 18
Finally, we can substitute 7 for x and 18 for y in all equations to see the lengths of each side.
(18)-4=14 The length of each of the two shorter sides is 14.
2(7)+5=19 The length of each of the two longer sides is 19.
Long division: (x³ + 2) ÷ (x + 1)
<u> </u><u>x² – x + 1 </u>
x³ + 0x² + 0x + 2 | x + 1
<u>– x³ – x²</u> ⋮ ⋮
– x² + 0x ⋮
<u>+ x² + x</u><span> ⋮</span>
+ x + 2
<span> </span> <u>– x – 1</u>
+ 1
Quotient: Q(x) = x² – x – 1;
Remainder: R(x) = + 1.
I hope this helps. =)
Answer: b.not enough info
Step-by-step explanation:
Corresponding angles of congruent triangles are congruent, so 
However, we don't have all 3 interior angles of either triangle, so we cannot conclude anything.
