Answer:
9.5
Step-by-step explanation:
There is no changeover in the first throw. The probability of each changeover is 1/2 and it doesnt depend on the other changeovers. The only thing that modifies each experiment is the result of the previous flip, but regardless of weather it was tails or heads, the probability will always be 1/2.
Since the coin is flipped 20 times and the first time there is no changeover, there are a total of 19 experiments. All of them independent and with probability 1/2. Therefore, the total amount of changeovers for 20 flips is a random variable with distribution Binomial B(19,0.5), the expected value of a Binomial B(n,p) is n*p. In this case, the expected value of changeovers for n=20 is 19*0.5 = 9.5.
Answer: 2 is -1.25
Step-by-step explanation:
Answer:

Step-by-step explanation:
The inverse of the function is the "opposite" of a function, so to speak. One can find it by treating it like a literal equation with 2 variables, one now has to solve for the other variable presnet. In other words, treat the therm (f(x)) like another variable in the equation. Now one has to solve for (x) in terms of (f(x)).

Manipulate the literal equation with inverse operations;

Now switch the variables;

The
signifies that the written function is the inverse of the original function.
Answer:
151 cupcakes
Step-by-step explanation:
Rectangle on the left = 3 × 4 = 12
Rectangle in the middle = 3 × 2 = 6
Rectangle on the right = 4 × 3 = 12
Add:
12 + 6 + 12 = 30
Answer = 30
Hope this helped☺☺