Answer:
Step-by-step explanation:
Given that if an odd number comes up, you lose.
i.e. 

If you get 2 or 4 you roll again
Thus rolling again prob = 
After rolling II time, if get 6, win otherwise lose.
Thus winning amounts A canbe
0 36 60

This is a genuine pdf since prob >0 and total prob = 1.
b)Expected gain = sum of gain * prob = 
Thus I would be willing to pay an amount atmost 12 dollars.
Answer:There will be 10 grams left because you subtract half of the current amount from it every 9 years.
Step-by-step explanation:
(8)=ones place
(1)0=tens place
(1)00=hundreds place
(9)000=thousands place
The "1" beside the 8, is the tenths spot so you would round that part of the number.
Therefore the answer would be:
9120
8x+y=3
-8x -8x
--------------
y=-8x+3
7x-2y=-6
-7x -7x
------------------
-2y=-7x-6
----- -------
-2 -2
y=7/2x+3
Substitute -8x+3 in place of y
-8x+3=7/2x+3
+8x +8x
-----------———
3= 11.5x+3
-3 -3
———————
0 = 11.5x
—— ——
11.5 11.5
X=0
8x+y=3
8(0)+y=3
0+y=3
y=3
Check
8(0)+3=3
7(0)-2(3)=-6
0-6=-6
Answer is choice B
Answer:
C
Step-by-step explanation:
Step 1: find BC
Given Triangles ABC and ADE are similar,
=
BC =
x DE
=
x 9
= 6 cm
Step 2: use Pythagorean theorem to find AC and / or AE
Consider triangle ABC,
by Pythagorean theorem,
AB² + BC² = AC²
AC² = 6² + 8² = 100
AC = √100 = 10 (answer... we can see that C is the only one with AC=10.
Step 3: Verify.. even though we know that it is C because AC = 10, you can verify that the ansewer is correct by finding CE and confirming that CE=5
By using similar triangles ABC and ADE,
AC/AE = AB / AD
AE = AD/AB x AC = 12/8 x 10 = 15
CE = AE - AC = 15 - 10 = 5 (answer confirmed)