Step-by-step answer:
Let's attack the left side:
log_8 12 = log (base 8) 12 = log(12)/log(8) = 1.1949875 (approx.)
Next solve
log_8 12 = x-2
log(12)/log(8) = x-2
x = 2 + log(12)/log(8)
= 3.195 (to one thousandth)
Nearest 10 is according to the last digit.
if the digit is >5, it +1 to the tenth digit. If it's <5, it will be reduced to 0.
for your case, 392, 2 < 5, therefore rounded up to nearest tenth is 390.
Answer in fraction form = 1/20
Answer in decimal form = 0.05
Answer in percent form = 5%
These are three ways to express the same thing
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Explanation:
Assume the gumball machine only has 5 gumballs, one of each color. The probability of getting yellow is 1/5 since there is one that is yellow out of 5 total.
The probability of getting a lion rubber band is 1/4 for similar reasoning as above.
Because the two events (getting yellow, getting a lion) are independent, this means we can multiply the two probabilities to get (1/5)*(1/4) = 1/20
Use your calculator to see that 1/20 = 0.05 which converts to 5% when you move the decimal point over 2 spots to the right.