A box is filled with black (B), white (W), red (R), green (G), and pink (P) phone cases. A phone case is selected at random.
2 answers:
ANSWER 1 :
Sample Space ( S )= {B, W, R, G, P} Option (ii)
Explanation:
There are five types of phone cases. Colors of the phone cases are Black, White, Red, Green, Pink.
One phone case is selecte as random, in this case we have 5 choices to select one phone case at a time.
So, Sample space is S = {B, W, R, G, P} Option(ii)
Final answer.
Answer 2 :
Probability for student earn grade A =
Explanation :
There are total 24 students in a class.
All student appeared in a test.
14 students are got grade A
and 10 students are got grade B.
One student choose at random whose grade is A.
Probability for selected grade A student = (total students of grade A)/(Total number of student in a class)
Probability for selected grade A student =
Final answer.
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Answer:
cos(a + b) =
Step-by-step explanation:
cos(a + b) = cos(a).cos(b) - sin(a).sin(b) [Identity]
cos(a) =
cos(b) =
Since, terminal side of angle 'a' lies in quadrant 3, sine of angle 'a' will be negative.
sin(a) = [Since, sin(a) =
]
=
=
Similarly, terminal side of angle 'b' lies in quadrant 2, sine of angle 'b' will be negative.
sin(b) =
=
=
By substituting these values in the identity,
cos(a + b) =
=
=
=
Therefore, cos(a + b) =