An academic department has just completed voting by secret ballot for a departmenthead. the ballot box contains four slips with votes for candidate a and three slips with votes for candidate b. suppose these slips are removed from the box one by one, what isthe total number of possible outcomes?

35

Step-by-step explanation:

Given : An academic department has just completed voting by secret ballot for a department head.

The ballot box contains 4 slips with votes for candidate A and 3 slips with votes for candidate B.

Total slips = 7

The permutations of 'n' things from which 'a' things are like , 'b' things are like is given by :-

Now, the total number of possible outcomes for the given situation will be:

Hence, the total number of possible outcomes =35

i dont know sorry

step-by-step explanation:

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be