A contractor buys 16 yd of nylon carpet and 22 yd of wool carpet for $1902. A second purchase, at the same prices, includes 20 yd of nylon carpet and 21 yd of wool carpet for $2033. Find the cost per yard of the wool carpet.

$53

Step-by-step explanation:

Given that, two type of clothes nylon and wool carpet.

Let the price of one yard of nylon carpet = $

Let the price of one yard of wool carpet = $

Price for 16 yd of nylon carpet and 22 yd of wool carpet = $1902

Price for 20 yd of nylon carpet and 21 yd of wool carpet = $2033

Writing equations as per given statement:

Here, we have to find the value of .

By equation (1), we get:

Putting the value from equation (3) to equation (2):

Therefore, the cost per yard for the wool carpet is $53.

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last graph i believe

step-by-step explanation:

worked it out i believe

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.