Answer: 0.31
Step-by-step explanation:
Let A denotes the event that the students report drinking alcohol and B denotes the students report using some type of tobacco product .
Given : P(A) =0.84 ; P(B)=0.33 and P(A∪B)=0.86
We know that 
Then, the probability that the student both drunk alcohol and used tobacco in the past month is given by :-

Hence, the probability that the student both drunk alcohol and used tobacco in the past month = 0.31
The solution to this system of inequalities x + y>4 , x + y <3 is Option A
The complete question is
Which graph shows the solution to this system of inequalities? x + y>4 x + y <3
The image are attached with the answer.
<h3>What are Inequality ?</h3>
When an expression is equated with another expression by an Inequality operator (< , > < etc) then the mathematical statement formed is called Inequality.
The inequalities are
x+y>4
x + y <3
After plotting both the inequalities in the graph the following graph that is attached with the answer is obtained.
Therefore the correct answer is Option A
To know more about Inequalities
brainly.com/question/20383699
#SPJ1
Step-by-step explanation:
4x+2=8+6x
-2x=6
x=-3
Hope it helps
Assuming ya meant

to slimplify, we use a variation of the pythagorean identity and a decomposition into the sin and cos
for the pythaogreaon identity

divide both sides by


since

subsitute

recall that

also that cos(x) is an even function and thus cos(-x)=cos(x)
therfore

so we get

decompose them into

and

to get

multiply by

to get

we can furthur simlify to get

the expression simplifies to tan(x)sin(x)
Answer:
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Step-by-step explanation: