A company manufactures chairs at a cost of $70 each. The following are probabilities of defective chairs in a given production run: probability of 1% defective chairs: 40%; probability of 2% defective chairs: 35%; probability of 3% defective chairs: 25%. When a defective chair is detected, it must be removed from the assembly line and replaced. This process adds an extra $10 to the cost of the replaced chair. What is the expected cost to the company of a batch of 500 chairs?

C = $35,740

Step-by-step explanation:

To calculated the expected cost to the company of a batch of 500 chairs, we need to find the expected number of defective chairs on a batch of 500 chairs, it is calculated as:

D = 500*(0.4*0.01*+ 0.35*0.02* + 0.25*0.03)

D = 9.25 defective chairs

Because we have 500 chairs, a probability of 0.4 to have 1% defective chairs, a probability of 0.35 to have 2% defective chairs and a probability of 0.25 to have 3% defective chairs.

Now, we just need to calculated the expected cost as:

C = 500*($70) + 9.25*($70+$10)

C = $35,740

Because we have 500 chairs that cost $70 each and 9.25 defective chairs that need to be replaced with a cost of $70 plus $10.

So, the expected cost to the company of a batch of 500 chairs is equal to $35,740

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d

step-by-step explanation:

use pothagarean therom

a^2+b^2=c^2 so first ac

acm is a right triangle because c= 90°

and am (the hypotenuse or c) =16+9 =25

but there is not enough info we need another angle or side length