Answer:
0.003
Step-by-step explanation:
Given: A roulette wheel consists of 38 numbers 1 to 36, 0, and double 0.
Smith bets that the outcome will be one of the numbers 1 through 12.
To find: probability that Smith will lose his first 5 bets
Solution:
Probability refers to chances of occurrence of some event.
Probability = Number of favourable outcomes/Total number of outcomes
Total number outcomes = 38
As Smith bets that the outcome will be one of the numbers 1 through 12, number of favourable outcomes is equal to 12.
So,
probability that Smith will loss his first bet = 
Therefore,
Probability that Smith will lose his first 5 bets = 
Answer:52 ft.
Step-by-step explanation: If the area of the base of the pyramid is
169
ft
2
then each side of the base is
13
ft
long because the base of the pyramid is a square.
Length of the side,
s
=
√
169
=
13
Iif we take the area of a square
A
=
s
2
where
s
=
13
we get the area of the base to be
169
ft
2
thus proving that each side of the base is
13
ft
long.
So to find the perimeter of the base of the pyramid we use the formula:
P
=
4
s
where
s
=
13
ft
and thus,
p
=
4
⋅
13
ft
=
52
ft
Answer:
x=18
Step-by-step explanation:
7x-1=125
<u> +1 +1</u>
<u>7x</u>=<u>126</u>
7 7
X=18
Answer:
6)GFE
EFG
F
4
8) I got x=1
Step-by-step explanation:
So sorry if that is wrong
Answer:
The given series converges and 
Step-by-step explanation:
Given is 108, -18, 3,...
It is an alternate series. An alternate series is convergent if:
1. The series is decreasing.
2. If the last term (n-th term) of series converges to 0.
<u>Since each next term is less than its preceding term, so it is decreasing.</u>
First term, a = 108
Second term = -18
Common ratio, r = -18/108 = -1/6
General term, aₙ = a*rⁿ = 108*(-1/6)ⁿ
<u>When n increases to infinity, the exponent term will decreases to zero, and last term (n-th term) will converge to 0 as well.</u>
Hence, the given series converges.
Now limit will be: 
Hence,
