Answer:
g(n) = -29×(-4)ⁿ⁻¹
Step-by-step explanation:
This the recursive formula of a sequence g :
g(1)=-29
g(n)=g(n-1)x(-4)
now ,we want to deduce the standard explicit formula of that sequence
It’s clear from the recursive formula (above) that :
_The common ratio = -4
_the first term = -29
Then
the standard explicit formula is : g(n) = -29×(-4)ⁿ⁻¹
Answer: 777
Step-by-step explanation:
Answer:
0.00390625
Step-by-step explanation:
For coins :
Number of rolls, trials, n = 4
P(heads) = 0.5
Using binomial probability formula :
P(x =x) : nCr * p^x q ;
P(obtaining exactly 4 heads) = 4C4 * 0.5^4 * 0.5^0 = 1 * 0. 0625 * 1 = 0.0625
P(even number from 4 coin tosses)
Even faces = (2,4,6)
Total faces = (1,2,3,4,5,6)
P(success) = 3/6 = 0.5
P(obtaining exactly 4 even) = 4C4 * 0.5^4 * 0.5^0 = 1 * 0. 0625 * 1 = 0.0625
Hence, obtaining 4 even outcomes and 4 heads = 0.0625 * 0.0625 =0.00390625
Answer:go to a physiatrist r-tard
Step-by-step explanation:
Answer:
(21, 80)
Step-by-step explanation:
We have the two lines y = 4x -4 and y = 3x + 17. The point 'C' will be given by the interception of them, as follows:
4x -4 = 3x + 17
Solving for 'x':
x = 21
Now, to find 'y' we have:
y = 4(21) -4 = 80
Therefore, they intercept at: (21, 80)