The sample space of picking a 2 character password using the letters Y, P, GR,
B, O, where double letters are not allowed is
shown. Your teacher asks the class to find the
probability of choosing a password with
one Y and one P. Carlos incorrectly says that
the probability is 15. Find the correct probability
then decide which error Carlos might have
made

Step-by-step explanation:

Given

See attachment for sample space

Required

From the attached sample space, we have:

---- total outcomes

--- outcomes with 1 Y and 1 P = 2 i.e. (P,Y) and (Y,P)

So, the required probability is:

The error is that; Carlos omitted the numerator

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.