Tommy is thinking about entering a contest at the local gas station. Some of Tommy’s

friends explained to him that the probability of winning the free tank of gas was 0.27. Tommy

understands probabilities better when they are given in ratio form. (For example 1 out of every

6 will win).

*Give Tommy your estimate of 0.27 probability in ratio form.

*What is the exact percent value of 0.27 probability?

* What is the probability (in any form) that Tommy won’t win?
(whoever answers this gets a cookie :D)

(a)1 out of 4.

(b)27%

(c)0.73 or 73%

Step-by-step explanation:

Tommy’s probability of winning is given as 0.27.

(a)Ratio Form

Therefore, the probability that Tommy will win is 1 out of 4.

(b)Exact Percent Value

Multiply the probability by 100 to obtain the exact percent value.

0.27 X 100=27%

(c)Probability that Tommy will not win.

Probability that Tommy will win+Probability that Tommy will not win=1

0.27+Probability that Tommy will not win=1

Probability that Tommy will not win=1-0.27

Probability that Tommy will not win=0.73

$79500

step-by-step explanation:

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