Direct variation is represented by the following equation:
y = kx
We can use the given (x,y) point to find k.
18 = k * 3
k = 6
Our direct variation is
y = 6x
Now we need x when y = 24.
24 = 6x
x = 4
Answer:
≈ 471 cm^3
Step-by-step explanation:
V = πr^2h
V = 3.14·5^2·6
V = 3.14·25·6
V ≈ 471 cm^3
Answer:
For each part selected, the probability of a defective part being produced must be 0.04.
The parts must be selected independently.
Step-by-step explanation:
For each part, there are only two possible outcomes. Either they are defective, or they are not. Each part has a 4% probability of being defective, and the probability of a part being defective is independent of other parts, that is, they are selected independently. These are the conditions under which this situation would be a binomial experiment.
So the correct answers are:
For each part selected, the probability of a defective part being produced must be 0.04.
The parts must be selected independently.
Hope this helps. If you have any further question ask in comments.
Answer:
17s−109t
Step-by-step explanation:
Let's simplify step-by-step.
9(3s−3t)−2t−10(8t+s)
Distribute:
=(9)(3s)+(9)(−3t)+−2t+(−10)(8t)+(−10)(s)
=27s+−27t+−2t+−80t+−10s
Combine Like Terms:
=27s+−27t+−2t+−80t+−10s
=(27s+−10s)+(−27t+−2t+−80t)
=17s+−109t