Answer: B (3 cups)
Step-by-step explanation:
Add 2 cups + 1 cup together, and you get 3 cups. C is incorrect (in this scenario) because it doesn’t describe what measurement it’s in.
Answer:
For this case we can use the probability mass function and we got:

Step-by-step explanation:
Previous concepts
A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Solution to the problem
Let X the random variable of interest, on this case we now that:
For this case we can use the probability mass function and we got:

Answer:

Step-by-step explanation:
In leftmost triangle:
opposite side =y
adjacent=a
now, we can use trig formula

now, we can solve for y

In rightmost triangle:
adjacent=b
opposite=y
a+b=15
b=15-a
now, we can use trig formula

now, we can solve for y

now, we can set them equal
and then we can solve for a




now, we can find b


now, we can use trig formula

now, we can find z

we can simplify it
and we get
