ANSWER
3) b
EXPLANATION
Given that:

and

Recall that the sine and cosine functions are equal for complementary angles.
This implies that,


Answer:
0.095163
Step-by-step explanation:
given that a starter motor used in a space vehicle has a high rate of reliability and was reputed to start on any given occasion with probability .99999
Here we find that for any start, there are exactly two outcomes either success or failure.
Also each start is independent of the other since p = 0.99999 for succss is given constant.
Thus X no of successes is binomial with p = 0.99999 and n =10000
If Y is taken as failure then Y is binomial with p' = 0.00001 and n =10000
Required probability
= the probability of at least one failure in the next 10,000 starts
= 1-P(no failure in 10000 starts)
=
Answer:
222 fence posts
Step-by-step explanation:
Since the log is 20 m long, correct to the nearest metre and has to be cut into fence posts which must be 90 cm long, correct to the nearest 10 centimetres, there can be x fence posts 90 cm long.
So, we have x × 90 cm = 20 m
x × 0.9 m = 20 m
x = 20 m/0.9 m
x = 222.22
x ≅ 222 fence posts
So, the largest number of fence posts that can possibly be cut from the log is 222 fence posts.