Answer:
C) 1/ 12
Step-by-step explanation:
for a fair 6-sided die, for each independent roll, the possible number of outcomes is 1,2,3,4,5,6. I.e there are 6 possible outcomes
Also realize that there is only one "2" out of the 6 possible outcomes.
hence P(roll 2) = 1/6
Similarly, there are 3 odd numbers (i.e 1, 3, 5) out of the 6 possible outcomes
hence P(roll odd number) = 3 /6 = 1/2
P (roll 2 on first roll then odd number on second roll)
= P(roll 2) x P(roll odd number)
= 1/6 x 1/2
= 1/12
Do you know what a square root is?
A cube is based on the same concept but is 3x the number itself to receive the value.
For the question, the answer is 0.027 because 0.3 * 0.3 * 0.3 is 0.027
So,
This is how I mentally do it.
Convert 1 1/3 miles to decimal form.
1 1/3 --> 1.3333333...
Since that is 1/10 of the desired rate, we simply move the decimal place one place to the right.
1.333333... --> 13.3333333...
Convert to fraction form.
13 1/3 mph
Lauren bikes 13 1/3 miles per hour.
Given:
Two equations are


To find:
The reason for same solutions to the proportions.
Solution:
First equation is

On cross multiplication, we get


Divide both sides by 10.


The second equation is

On cross multiplication, we get


Divide both sides by 10.


Solutions to the proportions are same because both result in the equation 10 x = 1,000, which simplifies to x = 100.
Therefore, the correct option is D.