Answer:
Step-by-step explanation:
As it is a second order equation, it means that it has two possible answers and they are 
and 
.
The famous quadratic formula for solving any second order equation is the following:
Where a is the coefficient of 
, b is the coefficient of x, and c is the free term. In other words,
as the equation should be in the following form:
Therefore the possible answer should be the following,
by dividing the numerator and denominator by 2, we can deduce the following,
Step-by-step explanation:
Use double and triple angle identities:
sin(2x) + cos(3x)
2 sin x cos x + 4 cos³x − 3 cos x
The total amount of degrees in a triangle is 180. All three angles should add up to 180˚
We know that 40+60 = 100
The next step is to do 180-100 to get the other angle.
180-100 = 80
So the measure of the third angle is 80˚
Hope this helps!
(Also if you want to do this in one equation, you would do 40+60+x = 180
40+60+x = 180
100+x = 180 (combine like terms)
x = 80 (Subtract 100 from both sides)
Answer and explanation:
Given : A driving exam consists of 29 multiple-choice questions. Each of the 29 answers is either right or wrong. Suppose the probability that a student makes fewer than 6 mistakes on the exam is 0.26 and that the probability that a student makes from 6 to 20 (inclusive) mistakes is 0.53.
Let X be the number of mistake
To find : The probability of each of the following outcomes.
a) A student makes more than 20 mistakes
i.e. 
b. A student makes 6 or more mistakes
i.e. 
c. A student makes at most 20 mistakes
i.e. 
Using 'a' part
d. Which two of these three events are complementary?
The complement of an event happening is the exact opposite: the probability of it not happening.
According to definition,
Option a and c are complementary events.
