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skad [1K]
3 years ago
15

In a contest, each finalist must answer 4 questions correctly. Each question is worth twice as much as the question before it. T

he fourth question is worth 2,000. How much is the first question worth?
Show work.
Mathematics
2 answers:
lutik1710 [3]3 years ago
4 0
The answer is 250 points, to find this just divide by 2 three times.
Nataliya [291]3 years ago
3 0
250 points you just divide the numbers by two
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Step-by-step explanation:

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Based on a​ survey, assume that 43​% of consumers are comfortable having drones deliver their purchases. Suppose we want to find
svlad2 [7]

Answer:

The probability of getting two consumers comfortable with drones is 0.3424.

Step-by-step explanation:

The probability that a consumer is comfortable having drones deliver their purchases is, <em>p</em> = 0.43.

A random sample of <em>n</em> = 5 consumers are selected, and exactly <em>x</em> = 2 of them are comfortable with the drones.

To compute the probability of getting two consumers comfortable with drones followed by three consumers not​ comfortable, we will use the Binomial distribution instead of the multiplication rule to find the probability.

This is because in this case we need to compute the number of possible combinations of two consumers who are comfortable with drones.

So, <em>X</em> = number of consumers comfortable with drones, follows a Binomial distribution with parameters <em>n</em> = 5 and <em>p</em> = 0.43.

Compute the probability of getting two consumers comfortable with drones as follows:

P(X=x)={5\choose x}\ 0.43^{x}\ (1-0.43)^{5-x};\ x=0,1,2,3...

P(X=2)={5\choose 2}\ 0.43^{2}\ (1-0.43)^{5-2}

               =10\times 0.1849\times 0.185193\\=0.342421857\\\approx 0.3424

Thus, the probability of getting two consumers comfortable with drones is 0.3424.

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3 years ago
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