A number cube is rolled 120 times. The number 4 comes up 47 times.
We have to determine the experimental probability of rolling a 4.
The formula to evaluate probability of an event is given by:
Probability =
So, Probability of rolling a 4 =
=
Now, we have to find the theoretical probability of rolling a 4.
Total number of outcomes of number cube = {1,2,3,4,5,6}
Probability of rolling a 4 =
So, Option B is the correct answer.
(d) ,
,
(e) 68, 82, 96
(d) note that the terms have a common ratio ( r )
r = =
=
to obtain any term in the sequence, multiply the previous term by
75 × =
×
=
×
=
(e) note that the terms have a common difference (d )
d = 26 - 12 = 40 - 26 = 54 - 40 = 14
to obtain any term in the sequence, add 14 to the previous term
54 + 14 = 68
68 + 14 = 82
82 + 14 = 96
Since, the coordinates of the midpoint of line RS are M.
The coordinates of endpoint R are (-2,10)
We have to determine the coordinates of endpoint S.
The midpoint of the line segment joining the points and
is given by the formula
.
Here, The endpoint R is (-2,10) So,
Let the endpoint S be
The midpoint coordinate M is .
So,
Now,
So, the other endpoint S is (8,0).