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2 years ago

These two lines graphed below are not parallel. How many solution are there to the system

Mathematics

1 answer:

Anvisha [2.4K]2 years ago

6 0

Answer:

B: One

Step-by-step explanation:

As shown on the graph, they are intersecting at only one point, so the answer is one. If it was infinite it would be the same line. If it had no solution the lines would be parallel.

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2 years ago

6.3 The daily amount of coffee, in liters, dispensed by a machine located in an airport lobby is a random variable X having a co

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a) 60% probability that on a given day the amount of coffee dispensed by this machine will be at most 8.8 liters.

b) 70% probability that on a given day the amount of coffee dispensed by this machine will be more than 7.4 liters but less than 9.5 liters

c) 50% probability that on a given day the amount of coffee dispensed by this machine will be at least 8.5 liters

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

$P(X \leq x) = \frac{x - a}{b-a}$

The probability of X being higher than x is:

$P(X > x) = 1 - \frac{x - a}{b-a}$

The probability of X being between c and d is:

$P(c \leq X \leq d) = \frac{d - c}{b - a}$

For this problem, we have that:

$a = 7, b = 10$

(a) at most 8.8 liters;

$P(X \leq 8.8) = \frac{8.8 - 7}{10 - 7} = 0.6$

60% probability that on a given day the amount of coffee dispensed by this machine will be at most 8.8 liters.

(b) more than 7.4 liters but less than 9.5 liters;

$P(7.4 \leq X \leq 9.5) = \frac{9.5 - 7.4}{10 - 7} = 0.7$

70% probability that on a given day the amount of coffee dispensed by this machine will be more than 7.4 liters but less than 9.5 liters

(c) at least 8.5 liters.

$P(X > 8.5) = 1 - \frac{8.5 - 7}{10 - 7} = 0.5$

50% probability that on a given day the amount of coffee dispensed by this machine will be at least 8.5 liters

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3 years ago