A soft drink company holds a contest in which a prize may be revealed on the inside of the bottle cap. The probability that each
2 answers:
Answer:
We conclude that the probability that a customer must open three or more bottles before winning a prize is P=0.64.
Step-by-step explanation:
We know that the probability that each bottle cap reveals a prize is 0.2 and winning is independent from one bottle to the next.
Therefore, we get p=0.2 and q=1-p=1-0.2=0.8.
So we will calculate the probability that the buyer will not win the prize in the first and second bottles. We get:
We conclude that the probability that a customer must open three or more bottles before winning a prize is P=0.64.
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The fraction which produce an equivalent fraction with a rational denominator is
Explanation:
The equation is
To find the rational denominator, let us take conjugate of the denominator and multiply the conjugate with both numerator and denominator.
Rewriting the equation, we have,
Multiplying, we get,
Simplifying the denominator, we get,
Subtracting, the values of denominator,
Dividing the numerator and denominator,
Hence, the denominator has become a rational denominator.
Thus, the fraction which produce an equivalent fraction with a rational denominator is
In the game of cornhole, when Sasha tossed a bean bag to the edge of the hole, in which the equations of the hole and bean bag's path are x² + y² = 5 and y = 0.5x² + 1.5x - 4, respectively, she could have tossed her bean bag to the points (1, -2) or (2, 1).
To find the points in which she could have tossed her bean bag, we need to intersect the two equations of the function as follows.
<u>The equation for the hole</u>
(1)
<u>The equation for the path of the bean bag</u>
(2)
By entering equation (2) into (1) we have:
By solving for <em>x</em>, we have:
x₁ = 1
x₂ = 2
Now, for <em>y</em> we have (eq 2):
- <u>x₁ = 1</u>
- <u>x₂ = 2</u>
Therefore, the points are (1, -2) or (2, 1).
To find more about intersections, go here: brainly.com/question/4977725?referrer=searchResults
I hope it helps you!
Answer
The answer and procedures of the exercise are attached in the following archives.
Step-by-step explanation:
You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.
