Answer:
not enough information given
Step-by-step explanation:
as the rules say, we need at least 3 pieces of information :
2 angles and a side, or 3 angles (or there are other options like 2 sides and one angle or 3 sides).
but here we get 1 side and 1 angle. the shared point does not give us anything in that regard.
so, not enough information.
Answer:
f(t) = 500 * (1.035) ^ t
Step-by-step explanation:
A = p(1 + r/n)^nt
Where
A = future value = ?
P = principal = $500
r = interest rate = 3.5% = 0.035
n = number of periods = 1
t = number of years = t
A = p(1 + r/n)^nt
= 500(1 + 0.035/1)^1*t
= 500(1 + 0.035) ^t
= 500( 1.035)^t
= 500 * (1.035)^t
f(t) = 500 * (1.035) ^ t
THis is a binomial distribution:-
P( 3 tails) = 15C3 (0.5)^3(0.5)^12
= 0.0139
P(5 tails) = 15C5 (0.5)^5(0.5)^10
= 0.0916
P(3 or 5) = 0.0139 + 0.0916 = 0.1055 Answer
Answer:
32
Step-by-step explanation:
In 100^1000,
100 can be written as,
100 = 10 x 10 = 10^2
100^1000
= 10^( 2 * 1000 )
= 10^2000
10 can be written as,
10 = 2 x 5
10^2000
= ( 2 x 5 )^2000
Formula : -
( a x b )^n = a^n x b^n
Here,
a = 2
b = 5
n = 2000
( 2 x 5 )^2000 = 2^2000 x 5^2000
[ 2^2005 x 5^2000 ] / 100^1000
= [ 2^2005 x 5^2000 ] / [ 2^2000 x 5^2000 ]
Formula : -
a^m x b^n / a^c x b^d
= a^( m - c ) x b^( n - d )
Here,
a = 2
m = 2005
c = 2000
b = 5
n = d = 2000
[ 2^2005 x 5^2000 ] / [ 2^2000 x 5^2000 ]
= 2^( 2005 - 2000 ) x 5^( 2000 - 2000 )
= 2^5 x 5^0
{ Note : Any number power 0 ( except 0 ) is 1.
That is 0^0 ≠ 1, but 5^0 = 1. }
= 2^5 x 1
= 2^5
= 2 x 2 x 2 x 2 x 2
= 32
