Formula for geometric sequence is aₓ = arⁿ⁻1
a₅=4(3)⁵⁻¹
a₅=4(3)⁴
a₅=4(81)
a₅=324
Hundred : 748-48=700
tens: 250-10= 240
ones: 320-20=300
Answer: Marcus travels at 5mph and Cody travels at 11mph
Step-by-step explanation:
x = Marcus
x + 6 = Cody
4(x + x + 6) = 64
4x + 4x + 24 = 64
8x + 24 = 64
8x = 40
40/8 = 5
5 + 6 = 11
Marcus = 5 Cody = 11
4*5 + 11*4 = 64
Formula applied: p+/- Z*sqrt (p(1-p)/N)
Where
p=probability of those who will vote for candidate a = 120/400 = 0.3
Z = Critical value at 95% confidence interval = 1.96
N = Size of the sample = 400
Substituting;
Interval = 0.3+/- 1.96* sqrt (0.3(1-0.3)/400) = 0.3+/-0.045
Interval of population who will vote for candidate a at 95% confidence interval
= 0.3+0.045 to 0.3-0.045
=0.345 to 0.255 of the total population