Anna tossed 3 coins in the air. What is the probability that exactly 2 of the coins show heads? Look back at all of the possible outcomes from #2 and use that to find your probability. Write the probability as a fraction. Simplify, if needed.

(Exactly means only 2 heads, no more than or no less than)

Step-by-step explanation:

There are 8 possibilities.

HHH

HHT

HTH

HTT

THH

THT

TTH

TTT

Now just count the number with 2 heads There are 3 of them

(P 3H) = 3/8

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.

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c