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:
816 cubic inches
Step-by-step explanation:
You need to know how long it was in her account then you would multiply the .2 by the 500$ and get the total for the first month. Then .2 by the total of the first month not $500 to get the second month. You continue this for as many months as it asks you and keep multiplying your new amount. The final step is to subtract the final month balance by $500 to get the amount she makes in interest.
Answer:
Variable "m"
Step-by-step explanation:
Hello!
The equation 
is perhaps the most used equation when representing a line. The parts of the equation:
- y = output, y-value, ordinate...
- m = slope, rate of growth, rise over run...
- x = input, x-value, abscissa...
- b = y-intercept
____________________________________________
Let's use an example: y = 2x + 5
We want to find the y-value when x is 2.
To solve, simply plug in 2 for x:
- y = 2(2) + 5
- y = 4 + 5
- y = 9
So, the coordinate when x is 2 is (2,9), remember that coordinates are written in (x,y) format.
Image: y = 2x + 5
