P(not 5) =5/6 and P(5) = 1/6
If the first 5 is rolled on the 5th roll then the first four rolls were not 5
P(5 on fifth roll) = 5/6 x 5/6 x 5/6 x 5/6 x 1/6 = 5^4/6^5 = 625/7776 = 0.080375...
Given:
Let x be the whole amount inherited.
1/2 * x - invested with Bernie Madoff
1/3 * x - lost due to identity theft
1/8 * x - lost in casino
40,000 - remainder
x - x/2 - x/3 - x/8 = 40,000
LCM:
2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24
3: 3, 6, 9, 12, 15, 18, 21, 24
8: 8, 16, 24,
x * 24/24 = 24x / 24
x/2 * 12/12 = 12x / 24
x/3 * 8/8 = 8x / 24
x/8 * 3/3 = 3x / 24
40,000 * 24/24 = 960,000 / 24
24x/24 - 12x/24 - 8x/24 - 3x/24 = 960,000/24
(24x - 12x - 8x - 3x)/24 = 960,000/24
x/24 = 960,000/24
24 * x/24 = 24 * 960,000/24
x = 960,000
x = 960,000 initial inheritance
x/2 = 960,000/2 = 480,000 invested with Bernie Madoff
x/3 = 960,000/3 = 320,000 lost due to identity theft
x/8 = 960,000/8 = 120,000 lost in the casino
40,000 - remaining amount.
960k - 480k - 320k - 120k = 40k
40k = 40k
The answer for this question is <span>35.65 + 1.85x
</span>
Answer:
86 is a term in the sequence
Step-by-step explanation:
2; 6; 10; 14; 18;.....
T1=1*4-2=2
T2=2*4-2=6
T3=3*4-2=10
T4=4*4-2=14
T5=5*4-2=18
......................
Tn=n*4-2
n*4-2=86
n*4=88
n=88/4
n=22
86 is T22 in the sequence.
So.. hmm notice the picture here
we know the length is 59 more than twice the width,
twice the width, 2 * w, or 2w
59 more than that
2w + 59
we also know that, whatever that is, the diagonal of it is,
2 more inches than that, or
(2w + 59) + 2
now.. use the pythagorean theorem

you'd end up with a quadratic, after simplifying, solve for "w"