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

<span>The coordinates of the vertices of the triangle :
</span>(-1,1), (-4,1). <span>(-4, 4)
</span>the translation (x, y) --> (x + 3, y + 2), the new coordinates of the vertices of the triangle will be:<span>
(2, 3), </span>(-1, 3), <span>(-1, 6)
Answer:
</span><span>D. (2, 3), (-1, 3), (-1, 6)</span>
Answer: the number of sides of a regular polygon is the same as the number of lines of reflection that can map the polygon into itself. The number of lines of symmetry is the same as the number of lines of reflection for mapping. (this is word for word so i suggest rewording)
Step-by-step explanation: