The answer is 3.80952380952
Answer:
no solution
Step-by-step explanation:
y = (1/3)x - 4
3y - x = -7
put the first equation into the second
3(1/3)x - (3)4 - x = -7
x - 12 - x = -7
-12 = -7 can never be true so this is no solution
In 14 minutes, Dan has already traveled 840 miles
14 • 60 = 840
Since Jake bikes 210 per minute, you would need to divide the total number of miles that Dan has traveled in 14 minutes (840 miles) by the amount of miles Jake can travel in one minute (210).
840 ÷ 210 = 4 minutes
Answer: 4 minutes
460 miles away. just take how many miles an hour the train is going and multiply how many hours it took to get there, which would be 460
Answer:
The expected cost of the company for a 3000 tires batch is $120255
Step-by-step explanation:
Recall that given a probability of defective tires p, we can model the number of defective tires as a binomial random variable. For 3000 tires, if we have a probability p of having a defective tire, the expected number of defective tires is 3000p.
Let X be the number of defective tires. We can use the total expectation theorem, as follows: if there are
events that partition the whole sample space, and we have a random variable X over the sample space, then
.
So, in this case, we have the following
.
Let Y be the number non defective tires. then X+Y = 3000. So Y = 3000-X. Then E(Y) = 3000-E(X). Then, E(Y) = 2949.
Finally, note that the cost of the batch would be 40Y+45X. Then
