15. If sin Q = 12/13, find tan Q.
16. What is the formula to find the median of the grouped data?
17. A bag contains 25 red balls and 15 blue balls, a ball is drawn at random. Find t
probability of getting a red ball.
18. If tan 5Q = 1. find the value of Q.
19. Without actually performing the long division, state whether the following ratic
numbers will have a terminating decimal expansion or a non-terminating repeating
decimal expansion:
(a) 13/ 125 (in) 17/8
Answers
Answer:
answer 15
sinQ =12/13=P/H
in right triangle , if p= 12 H = 13 , then by pythagoras theorem
p2 +b2 = h2
(12)^2 +(b)^2= (13)^2
144+( b)^2 =169
(b)^2= 169-144 =25
b =5
therefore
tan Q= P/B = 12/5
answer 16
formula is used to find the median in a group data which is located in the median class. Median, m = L + [ (N/2 – F) / f ]C L means lower boundary of the median class N means sum of frequencies F means cumulative frequency before the median class.
answer 17
no. of red balls = 25
no. of blue balls = 15
total no. of balls = 25+15=40
randamly drawn a ball
p(red ball) =no. of red balls / total no. of balls
=25/40
=5/8.
answer 18
tan5Q =1
we know that, tan 45 = 1
tan5Q = tan 45
5Q = 45
Q = 45 / 5
Q = 9
answer 19 a. 13 / 125
factor the denominator
125 , 25, 5 ,1 divide continously with 5
its factor , 5×5×5×5
the denominator has factor 5
we know that if denominator has factor 2,5 or 2 or 5 then the number is terminating decimal expression.
hence , 13 / 125 is terminating decimal expression.
b 17 / 8
same as first part a.