Answer:
The probability that the message will be wrong when decoded is 0.05792
Step-by-step explanation:
Consider the provided information.
To reduce the chance or error, we transmit 00000 instead of 0 and 11111 instead of 1.
We have 5 bits, message will be corrupt if at least 3 bits are incorrect for the same block.
The digit transmitted is incorrectly received with probability p = 0.2
The probability of receiving a digit correctly is q = 1 - 0.2 = 0.8
We want the probability that the message will be wrong when decoded.
This can be written as:
Hence, the probability that the message will be wrong when decoded is 0.05792
With a 12% discount, 18.48 is the price per ticket (2.52 per ticket saved). In order to determine the amount of tickets, we divide the saved amount by the amount saved per ticket.
819/2.52 is 325.
There were 325 tickets purchsed.
Answer:
Combine Like terms and do the Equation normally
Step-by-step explanation:
Answer:
(5,-4) and (-5,6)
Step-by-step explanation:
Given:
Solve it. First, express y in terms of x from the second equation:
Substitute it into the first equation:
Apply zero product property:
So,
When 
then 
When 
then 
We get two solutions: (5,-4) and (-5,6)
3ˣ (x² - 3)
Basically, just multiply everything together.
Step 1 : 3x × x² = 3x³ because when multiplying exponents, all you're really doing is adding them on top. So, x + 2x = 3x! But, they are exponents, so you get 3x³.
Step 2 : 3x ˣ × (-3) = -9ˣ
Now, our new question is : 3x³ - 9x
You wouldn't simplify this because x³ is NOT the same as x.
~Hope I helped!~
