What's the slope of the line?
2 answers:
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Answer:
Step-by-step explanation:
Given : To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin tablets that are similar in appearance.
Proportion of success :
Sample size taken by customs official : n= 3
Let x be a binomial variable that represents the tablets in the bottle.
Using Binomial probability formula :-
The probability that the traveler will be arrested for illegal possession of narcotics =
Hence, the probability that the traveler will be arrested for illegal possession of narcotics =
To solve for x, we have to remember to isolate the variable.
For 1/2, we can make that 0.5, since their values are equivalent. Our equation:
Let's distribute the 0.5 first.
Now, let's simplify the right side of the equation. We have to distribute the negative to 3x and 1.
Then, we simplify the entire expression.
Our equation now:
Let's add 3x to the right and 3x to the left to simplify the -3x on the right side of the equation.
Let's do the same thing we did in Step 3 to 1.5. Subtract 1.5 on both sides of the equation.
Finally, we divide both sides by 6 to isolate x.