3residents enter an elevator in an apartment complex at the ground floor. they each press a button 1-10 (each resident presses the button that corresponds to his or her floor. the same button may be pressed several times). if each button is equally likely to be pressed, what is the probability that 3 consecutive buttons are pressed?

The answer is %2,4

Step-by-step explanation:

Residents can press on 10 different button choice when they enters the elevator. Number of components for the sample space for the event is

There are 8 different possibilities that 3 consecutive buttons are pressed those are:

-1,2,3

-2,3,4

-3,4,5

-4,5,6

-5,6,7

-6,7,8

-7,8,9

-8,9,10

When the pressing order doesn't matter, those buttons can be pressed 3 different ways for each possibility.

The probability is:

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.

b.-4 units

all you   do is count how many times you move