Let's simplify both sides to get:

Now we need to solve for y:



So, your answer is
A.
Answer:
OKAY
Step-by-step explanation:
Answer:
0.9783 = 97.83% probability that a can that gets shipped for use will be of perfect shape
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Shipped for use
Event B: Perfect shape
Probability of being shipped for use:
Perfect shape(0.9 probability) or unnoticeable dent(0.02 probability). So

Being shipped for use and being in perfect shape.
0.9 probability, so 
What is the probability that a can that gets shipped for use will be of perfect shape?

0.9783 = 97.83% probability that a can that gets shipped for use will be of perfect shape
Answer:
x = 4.9 cm
Step-by-step explanation:
Note that sin theta = (opp side) / (hypotenuse), and that:
hypotenuse (opp side)
------------------ = -----------------
1 sin theta
and so:
hypotenuse (opp side) 4 cm
------------------ = ----------------- or hypotenuse = ---------------------------- = x
1 sin theta sin (55 degrees)
4 cm
Thus, x = --------------- = x = 4.88 cm or (to 1 DP) x = 4.9 cm
0.819