The Venn diagram shows the number of students who passed their examination in French (F) and those who passed their examination in German (G). The number of students who did not pass either examination is b. a) Find the value of b if the total number of students is 55. b) One of the 55 students is selected at random. Written as a fraction, what is the probability that this student (i) passed both French and German, (ii) passed exactly one of these two subjects?

a) 8  b(i)) 19/55  b(ii)) 28/55

Step-by-step explanation:

To get the answer to B you add all of the numbers in the venn diagram which gives you 47 and then you subtract that from the overall number of students which gives you 8.

To find the number of students who passed french and german you take the number from the middle of the diagram (19) and put it out of the overall number of students which is 55 and so the answer is 19/55

To find the number of students that passed exactly one of these two subjects you put 17/55 (those who passed french) and 11/55 (those who passed german) and then you add them together which gives you 28/55.

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

at first, in 1635, the evening meetings had been just for women . .

what relationship between ideas is shown in the text above?

question 1 options:

location of events

similarity of events

timing of events

examples of an idea

step-by-step explanation: