Answer:
C. 0.5
Step-by-step explanation:
Since a coin has 2 sides and there is the same probability of getting either side, then each side has a 50% or 0.5 probability. Therefore, in order to calculate the expected value of one coin flip we need to multiply the value of each side by its probability and add those values together like so...
1 * 0.5 = 0.5
0 * 0.5 = 0
Now we add these values together...
0.5 + 0 = 0.5
Finally, we can see that the expected value of one coin flip is 0.5
Answer:
es 8
Step-by-step explanation:
Answer:
can you check if you wrote this correctly
Answer:
The rate of change or slope m = -50
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the rate of change or slope
Given that there is $500 in Holly's bank account.
Thus, the y-intercept b = 500
It is stated that she takes out $50 from her account each month but doesn't put money back in.
It means the rate of change or slope is decreasing.
Thus, the rate of change or slope m = -50
<u>EXTRA BONUS!</u>
We can also determine the line equation by substituting m = -50 and b = 500 in the slope-intercept form
y = -50x + 500
Here:
The slope m = -50
The y-intercept = 500
Let p be the prize of a pen and m the prize of a mechanical pencils. If you buy six pens and one mechanical pencil, you spend 6p+m. We know that this equals 9, because you get 1$ change from a 10$ bill.
Similarly, if you buy four pens and two mechanical pencils, you spend 4p+2m, which is 8$, because now you get a $2 change. Put these equation together in a system:
Now, if you multiply the first equation by 2, the system becomes
Subtract the second equation from the first:
Plug this value into the first equation to get