Sample space blue die = {1,2,3,4,5,6} =6 total outcomes
favorable outcomes = {1,2,3,4,5} = favorable outcomes
P(blue<6} = 5/6
Sample space green die = {1,2,3,4,5,6}=6 total outcomes
favorable outcomes = {1,2,3,4,5} = favorable outcomes
P(green<5) = 5/6
P(blue AND green both <6) = 5/6 x 5/6 = 25/36 or 0.695
We write the expressions first mathematically:
three divided by one-fifth:
(3) / (1/5)
one-fifth divided by three:
(1/5) / (3)
We now use the double c method to find the results:
(3) / (1/5) = (3 * 5) / (1 * 1) = 15/1 = 15
(1/5) / (3) = (1 * 1) / (5 * 3) = 1/15 = 0.066666667
The difference between the two is:
15-0.066666667 = 14.93333333
Answer
They are different because they are inverse expressions.
Answer:
d = 6.997 or 7
Step-by-step explanation:
Use Pythagorean Theorem to find the diagonal of the end of the prism
2^2 + 3^2 = C^2 Simplify
4 + 9 = C^2 Add
13 = C^2 Take the square root of both sides
3.6 = C
Now plug this into the Pythagorean Theorem equation for the diagonal of the whole prism.
3.6^2 + 6^2 = d^2 Simplify
12.96 + 36 = d^2 Add
48.96 = d^2 Take the square root of both sides
6.997 = d This can be rounded up to 7, if needed
80/25= 3.2
550/3.2= 171.875
so, 171.875 students round that up to 172
