So consectuve even numbers
we know that one even number plus 2= another even number so we want to find 3 consecutive even numbers that add up to 96 or
x is the first number
x+2 is the second number
x+4 is the third number
x+x+2+x+4=96
3x+6=96
subtract 6 from both sides
3x=90
divide both sides by 3
x=30
the first number is 30
x+2=32=second number
x+4=34=third number
the numbers are 30,32,34
Answer:
68%
Step-by-step explanation:
Probability of occurrence of Event v = P(v) = 28% = 0.28
Probability of occurrence of both Events v and Event w together = P(v and w) = 19% = 0.19
We have to find what is the probability that event w occurs with event v given that event v occurs on a Tuesday. This is a conditional probability. In other words we have to find what is the probability of event w given that event v occurs of Tuesday. i.e we have to find P(w|v)
The formula to calculate this conditional probability is:

Using the given values, we get:

Therefore, the probability that even w will occur with event v given that event v occurs on Tuesday is 68%
Question:
Prove that:

Answer:
Proved
Step-by-step explanation:
Given

Required
Prove

Subtract tan(10) from both sides


Factorize the right hand size

Rewrite as:

Divide both sides by 


In trigonometry:

So:
can be expressed as: 
gives


In trigonometry:

So:

Because RHS = LHS
Then:
has been proven