9514 1404 393
Answer:
C) x = 1/2 cm
Step-by-step explanation:
Apparently, we're to assume the units of x are centimeters. The volume of the cube is the product of its dimensions:
V = x³ = 1/8
Then the value of x is ...
x = ∛(1/8) = 1/∛8
x = 1/2
_____
<em>Additional comment</em>
It can be useful to memorize the squares and cubes of small integers. The cubes you see most often are ...
1³ = 1; 2³ = 8; 3³ = 27; 4³ = 64; 5³ = 125; 6³ = 216; 7³ = 343
5(8x - 10) - 10x + 25(8x - 10) - 10x + 2
= (40x - 50) - 10x + (200x - 250) - 10x + 2
= 40x - 50 - 10x + 200x - 250 - 10x + 2
= (grouping like terms together)
= 40x - 10x + 200x - 10x - 50 - 250 + 2
= 220x - 298
Insert the point, x=-30, y=3:
y=kx
3=k*-30
3=-30k
-1/10=k
Answer:
10.69% probability that all 12 flights were on time
Step-by-step explanation:
For each flight, there are only two possible outcomes. Either it was on time, or it was not. The probability of a flight being on time is independent of any other flight. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
83% of recent flights have arrived on time.
This means that 
A sample of 12 flights is studied.
This means that 
Calculate the probability that all 12 flights were on time
This is P(X = 12).


10.69% probability that all 12 flights were on time