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adelina 88 [10]
4 years ago
7

The graph below shows the distances, in miles, that a dragonfly can travel in a certain number of hours: Based on the graph, wha

t is the dependent variable, the equation relating the two variables, and how far will the dragonfly travel in 24 hours if it continues to fly at the same speed? (1 point) Select one: a. The dependent variable is time, the equation is y = 22x, and the dragonfly will travel 528 miles. b. The dependent variable is time, the equation is x = 22y, and the dragonfly will travel 1,056 miles. c. The dependent variable is distance, the equation is y = 22x, and the dragonfly will travel 528 miles. d. The dependent variable is distance, the equation is x = 22y, and the dragonfly will travel 1,056 miles.

Mathematics
1 answer:
nordsb [41]4 years ago
3 0

Answer:

C

Step-by-step explanation:

The dependent variable is the one on the y-axis which would be distance. This makes sense because the amount of time the dragonfly flies determines the distance it flies. The equation is y = 22x. When x = 24, y = 22 * 24 = 528.

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Answer:

The probability P of a day with no perceptible earthquakes is 0.0821.

Step-by-step explanation:

We will consider that earthquakes occurring in a day is a <u>Poisson process</u>. The following Poisson probability distribution formula will be used in this question.

<u>p(x,λ) = [e^-λ (λ)ˣ]/x!</u>

where x = number of outcomes occurring

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(a) So, in this question we have λ = 2.5 and we need to find the probability that x=0 (no perceptible earthquakes in a day). So,

P(X=0) = p(0,2.5) = [(e^-2.5)(2.5)⁰]/0!

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P(X=0) = 0.0821

The probability P of a day with no perceptible earthquakes is 0.0821.

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