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skad [1K]
3 years ago
7

how would you say "the function is positive from -9 to 3 over the x axis but -9 is not included" using interval notation​

Mathematics
1 answer:
notka56 [123]3 years ago
5 0

Answer:

The function would be positive in:

<u>(-9, 3] </u>

Step-by-step explanation:

A function is considered positive on the X-axis when the changed values ​​in the function are greater than zero.  f(x) > 0

And is considered negative when f(x) < 0.

In this case, the numbers that make the function positive are the numbers from -9 to 3, but not including -9.

This can be written as (-9, 3]

It means that -9 is not taken but any number greater than -9 is.

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There is a bag with only red marbles and blue marbles. The probability of randomly choosing a red marble is 2 9 . There are 63 m
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3 years ago
The number of potholes in any given 1-mile stretch of freeway pavement in Pennsylvania has a Normal distribution. This distribut
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Answer:

83.85% of 1-mile long roadways with potholes numbering between 22 and 58

Step-by-step explanation:

The Empirical Rule 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:

Mean = 49

Standard deviation = 9

Using the Empirical Rule, what is the approximate percentage of 1-mile long roadways with potholes numbering between 22 and 58?

22 = 49 - 3*9

So 22 is three standard deviations below the mean.

Since the normal distribution is symmetric, 50% of the measures are below the mean and 50% are above the mean.

Of those 50% which are below the mean, 99.7% of those are within 3 standard deviations of the mean, that is, greater than 22.

58 = 49 + 9

So 58 is one standard deviation of the mean.

Of those which are above the mean, 68% are within 1 standard deviation of the mean, that is, lesser than 58.

Then

0.997*0.5 + 0.68*0.5 = 0.8385 = 83.85%

83.85% of 1-mile long roadways with potholes numbering between 22 and 58

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