Answer:
The answer to the first question is

The answer to the second question is D
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

Answer:
Use trigonometric ratio
Step-by-step explanation:
Since it is one side and angle of the triangle that is given, it is assumed that the triangle is a right-angled triangle
To solve for one of the two unknown lengths, use trigonometric ratio
There are 3 basic trigonometric ratio namely Sine (sin), Cosine (cos) and Tangent (tan)
Sine of the angle given = opposite side ÷ hypotenuse side
Cosine of the angle given = adjacent side ÷ hypotenuse side
Tangent of the angle given = opposite side ÷ adjacent side
Assuming the length given is the hypotenuse side and the angle is inclined to the horizontal
To find the opposite side of the triangle, multiply the hypotenuse side by the sine of the angle given