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2 years ago

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Which function can represent the height, y, of the railing in inches according to the horizontal distance in inches, x, from the

top of the stairs? y = –StartFraction 3 Over 4 EndFractionx + 36 y = –3x + 36 y = StartFraction 3 Over 4 EndFractionx + 36 y = 3x + 36

1 answer:

Leviafan [203]2 years ago

5 0

Answer:

$y = 36 - \frac{3}{4}x$

Step-by-step explanation:

The missing parameters are:

$h = 36in$ --- height of rails

The rate of decrement is: 9 $inches$ for $every$ 12 $horizontal$ $inches.$

Required

The function

First, we represent the rate (r) as a fraction.

$r = -\frac{9}{12}$ ---- negative, because it decreases

Simplify

$r = -\frac{3}{4}$

So, the function is:

$y = h + r * x$

Where:

$x \to$ distance from top

So, we have:

$y = 36 - \frac{3}{4}x$

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Answer:

95% confidence interval for the mean credit hours taken by a student each quarter is [14.915 hours , 15.485 hours].

Step-by-step explanation:

We are given that a random sample of 250 students at a university finds that these students take a mean of 15.2 credit hours per quarter with a standard deviation of 2.3 credit hours.

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P( $\bar X-1.96 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.96 \times {\frac{s}{\sqrt{n} } }$ ) = 0.95

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= [ $15.2-1.96 \times {\frac{2.3}{\sqrt{250} } }$ , $15.2+1.96 \times {\frac{2.3}{\sqrt{250} } }$ ]

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<em>The interpretation of the above confidence interval is that we are 95% confident that the true mean credit hours taken by a student each quarter will be between 14.915 credit hours and 15.485 credit hours.</em>

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