Abag contains one red pen, four black pens, and three blue pens. two pens are randomly chosen from the bag and are not replaced. to the nearest hundredth, what is the probability that a black pen is chosen first and then another black pen is chosen?

Probability is 0.21

Step-by-step explanation:

A bag contains red pen = 1

                  Black pen    = 4

                    Blue pens  = 3

Total pens in the bag =    1 + 4 + 3 = 8 pens

Two pens are chosen from the bag without replacement.

The probability that first pen is black pen = P₁ =  

The probability that second pen is black  = P₂ =  

Probability =   ×  

                  = 0.214285 ≈ 0.21

The probability that a black pen is chosen first and then another black pen is chose is 0.21.

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.