Answer:
sinΘ = 
Step-by-step explanation:
sinΘ = 
The opposite is 24, but we require the hypotenuse h
Using Pythagoras' identity
h² = 7² + 24² = 49 + 576 = 625 ( take square root of both sides )
h =
= 25
Thus
sinΘ = 
Answer:
11/29
Step-by-step explanation:
Answer:




Step-by-step explanation:
The probability mass function P(X = x) is the probability that X happens x times.
When n trials happen, for each
, the probability mass function is given by:

In which p is the probability that the event happens.
is the permutation of n elements with x repetitions(when there are multiple events happening(like one passes and two not passing)). It can be calculated by the following formula:

The sum of all P(X=x) must be 1.
In this problem
We have 3 trials, so 
The probability that a wafer pass a test is 0.7, so 
Determine the probability mass function of the number of wafers from a lot that pass the test.




Group together the like terms (plus 2x with 2x) (subtract 10 by 6)
4x+4=36
Move plus four to the other side as a negative
4x=32
Divide both sides by 4
32 divided by 4 is 8
Therefore, x is equal to 8