Answer:
Relative frequency of male nonparticipation is O.42
Step-by-step explanation:
Figure 1 is your partially filled frequency table.
1. Complete the table
(a) Total No
Total Yes + Total No = Total
102 + Total No = 187
Total No = 187 - 102
= 85
(b) Female No
Male No + Female No = Total No
40 + Female No = 85
Female No = 85 - 40
= 45
(c) Female Yes
Female Yes + Female No = Female Total
Female Yes + 45 = 95
Female Yes = 95 - 45
= 50
(d) Male Yes
Male Yes + Female Yes = Total Yes
Male Yes + 50 = 102
Male Yes = 102 - 50
= 52
(e) Male Total
Male Yes + Male No = Male Total
52 + 40 = Male Total
Male Total = 92
Figure 2 shows the completed table.
2. Frequency of Male No
There are 92 males, of whom 40 do not participate in an after-school activity.
The relative frequency of male nonparticipation is
40/92 = 0.43
The small right angled triangle with hypotenuse vale 5 is similar to the big triangle with b as the hypotenuse
Corresponding sides are in the same ratio so we can write
a/12 = 5/b.....(1)
Also applying pythagoras theorem to the large triangle
b^2 = 5^2 + 12^2
b^2 = 169
b = 13
So substituting in equation (1):-
a / 12 = 5 / 13
a = (5*12 ) / 13
Answer: True
Step-by-step explanation:
When two lines intersect they form both supplementary and vertical angles.
For example if AB intersects CD at point O (as given in figure), then ∠AOD and ∠DOB are supplementary [lies on line AB] and ∠AOB = ∠COB {Vertical angles are congruent}
Since Chords are line segments that join two distinct points on the circle, it means Intersecting chords also form a pair of supplementary, vertical angles.
Hence, the given statement is true.
Using equation of straight line; y = mx + c. m is the slope and c is the intercept.by comparison,
m = 2 and c=5.the correct option is D
