Answer: 8/17
There are 18 marbles in total. Say we get a red, then blue. The prob of red is 12/18, and then blue is 6/17, since the red marble takes away one from 18. So 12/18 * 6/17 = 4/17. Do the same for blue, then red. You should get 4/17. Adding the two gets the answer of 8/17.
You are very welcome!
:P
Wow! I didn't see that! (So dumb)
Thanks!
In pentagon ABCDP, AB = BC = CD = 4, angle ABC = anlge BCD = 90, AP = DP, angle APD = 90. In simple radical form, what is the perimeter of pentagon ABCDP ?
Hello Guest!
\(p=3\cdot 4+2\cdot \frac{4}{\sqrt{2}}=12+2\cdot \frac{4}{\sqrt{2}}\cdot \frac{\sqrt{2}}{\sqrt{2}}\)
\(p=12+4\cdot\sqrt{2}\)
\(p=4(3+\sqrt{2})=17.657\)
!
How many prime numbers are divisible by 39?
Prime numbers can only be divided by themselves and one.
How many prime numbers are divisible by 39? None.
In triangle PQR, PQ = 13, QR = 14, and PR = 15. Let M be the midpoint of line QR. Find PM.
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a = 13 b = 14 c = 15
Median PM = [sqrt(2a2 + 2c2 - b2)] / 2 ==> PM = 12.166
It wasn't that hard.
P = Regular price
f(x) = P x 0.85^x
( n + 2) * 2 =4n - 12, solve for n
n = 8 - the smallest number
The 3 numbers are: 8, 9, 10
Check: [2 * 10 =4 *8 - 12] =20 == 20
what is 10^10^10^10^1.99431 == 10^(4.993148251E+98)
There are only 2 integers for n that give solution to the equation:
And that is when n = 2 and n = 6
Therefore, the probability that your n has no solution is: 8 / 10 = 4 / 5
**** edit ***
2nd to 5th term is 3 d
3d = 16 - -7
d = 23/3
5th term to 14th term is nine mor d's
16 + (9)(23/3) = 85
Sorry for the error ....I originally used 16 as the SIXTH term instead of the FIFTH term
**
Great solution, Tiggsy!!!
You want what percenatge 150 is of 400
150/400 * 100% = ........... %
D = Distance =Speed(S) x Time
S = 40 / (50 / 60 == 48 his Speed in mph
D =48 x (t minutes / 60) - distance he travels in t minutes.
Thanks very much Tiggsy,
Unfortunately you lost me from here:
"Construct a difference table to find "
Why is
\(\Delta^{2} f_{0}=\Delta^{3}f_{0}=\Delta^{4}f_{0}=0 \)
I thought they would all be 1
Can you show me the common difference table that they come from?
a=listfor(n, 100, 777,(n%6==0))==776 in base 8 is largest 3-digit integer divisible by 6
-7 = F + D 16 = F + 4 D, solve for F, D
F =-44 / 3 - this is the first term
D = 23 / 3 - this is the common difference
14th term = - 44/3 + (23/3 * (14 - 1))
= - 44/3 + 99 2/3
= 85 - this is the 14th term.
i=1;a=7;m=398;b=a%m; if(b*i % m==1,goto5, goto6);print"The mmi = ",i;i++;if(i<=(m-1), goto3, discard=0;
OUTPUT = 57 Modular Multiplicative Inverse of 7 modulo 398.
136n mod 203 =184, solve for n
Using CRT + MMI
n =203m + 73, where m =0, 1, 2, 3......etc.
Therefore, the number of words on each page == 73
a it's a
S = 3 + 7×113 S = 2 + 3 N, solve for N
N = 264
S =2 + (3 * 264) =2 + 792 =794 - The largest value they have in common.
2nd to 6th term is 4 d
4d = 16 - -7
d = 23/4
6th term to 14th term is eight mor d's
16 + (8)(23/4)
= 16 + 46 = ........
x+y = 15 so x = 15-y
and
x-y = 7
(15-y) - y = 7
15 -2y = 7
-2y = -8
y = 4 x = 15-y = 11
The largest value the sequences have in common is 795.