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kherson [118]
3 years ago
6

Which expression is equivalent to the following complex fraction? StartFraction 2 Over x EndFraction minus StartFraction 4 Over

y EndFraction divided by StartFraction negative 5 Over y EndFraction + StartFraction 3 Over x EndFraction StartFraction 3 y + 5 x Over 2 (y minus 2 x) EndFraction StartFraction 2 (y minus 2 x) Over 3 y minus 5 x EndFraction StartFraction 2 (y minus 2 x) (3 y minus 5 x) Over x squared y squared EndFraction StartFraction x squared y squared Over 2 (y minus 2 x) (3 y minus 5 x) EndFraction
Mathematics
1 answer:
aliina [53]3 years ago
8 0

Answer:

its A

Step-by-step explanation:

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Step-by-step explanation:

Any lines that are parallel to each other have the same slope (coefficient of x is the same)

In this case, y = 2x + c.

Since it includes the point (0, 1), the y-intercept is 1 and that is c itself.

Hence, the equation of the parallel line is y = 2x + 1.

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A lot of research is conducted on the sleeping habits of U.S. adults. One study reported that X, the amount of sleep per night o
Sergio [31]

Answer:

16% probability that a randomly chosen U.S. adult sleeps more than 8.7 hours per night

Step-by-step explanation:

The Empirical Rule(Standard Deviation) states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

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8.7 = 7.5 + 1.2

So 8.7 is one standard deviation above the mean.

By the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean. The other 100-68 = 32% are more than one standard deviation from the mean. Since the normal probability distribution is symmetric, 16% are more than one standard deviation below the mean and 16% are more than one standard deviation above the mean(above 8.7 hours)

So, 16% probability that a randomly chosen U.S. adult sleeps more than 8.7 hours per night

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Salsk061 [2.6K]

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Step-by-step explanation:

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3 years ago
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