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3 years ago

7

Function P is a linear function with a y-intercept of the function of 5. Function Q is defined by the equation y =1/3x + 4. Whic

h statement must be true about function p and Q

1 answer:

Evgen [1.6K]3 years ago

7 0

Function Q can be rewritten as:
y=1/3x + 4 + 1 - 1 = 1/3x+5 - 1
1/3x+5 satisfy P(x). Therefore:
Q(x)=P(x)-1

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Answer:

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Step-by-step explanation:

The probability that the value of the random variable is in the given range is the area under the normal probability distribution curve over that range. The value of this area is conveniently provided by any number of calculators, apps, or spreadsheets. It can also be determined using the "empirical rule" that tells you the probability over certain normalized ranges.

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<h3>normalized range</h3>

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Similarly, the <em>upper limit</em> is ...

z = (90 -46)/22 = +2

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<h3>empirical rule</h3>

The empirical rule tells us that 95% of the area of the PDF lies between -2 and +2 standard deviations from the mean.

P(2 < X < 90) ≈ 0.95

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<em>Additional comment</em>

The empirical rule for other ranges is ...

± 1 standard deviation: 68%

±2 standard deviations: 95%

±3 standard deviations: 99.7%

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