A tourist in Ireland wants to visit five different cities. If the route is randomly selected, what is the probability that the tourist will visit the

cities in alphabetical order? Round your answer to three decimal places.

0.004

1.234

0.023

0.008

0.008

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Total outcomes:

He will visit 5 different cities. So the total number of ways this can happen is an arrangment of 5 elements, that is:

Desired outcome:

In alphabetical order, so only one possible outcome, which means that

Probability:

[tex]p = \frac{D}{T} = \frac{1}{120} = 0.008[/tex

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

answerim :

n

step-by-step explanation:

im not sure but my dad knows