(b) Laura works in a factory, checking to see if a component the factory makes is faulty
or not. The probability that any one
1
component is faulty is She checks
20
three components in a row.
(0) Draw a tree diagram to show all the
possible outcomes.
Calculate the probability that:
(ii) The first component only is faulty
(iii) No component is faulty
(iv) At least one component is faulty
Laura checks 10,000 components in a
week. How many of these would you
expect not to have a fault?

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.

thus, the first answer choice, y = sec x, is the correct one