Pre-Calculus Help? Polar and Parametric Equations?

Mathematics

1 answer:

Paraphin [41]3 years ago

7 0

$\bf x=rcos(\theta )\implies \cfrac{x}{cos(\theta )}=r\\\\
y=rsin(\theta )\implies \cfrac{y}{sin(\theta )}=r
\\\\
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r=3cos(\theta )\implies \cfrac{x}{cos(\theta )}=3cos(\theta )\implies x=3cos(\theta )cos(\theta )
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\boxed{x=3cos^2(\theta )}
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r=3cos(\theta )\implies \cfrac{y}{sin(\theta )}=3cos(\theta )\implies \boxed{y=3cos(\theta )sin(\theta )}$

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Suppose that the number of gallons of milk sold per day at a local supermarket are normally distributed with mean and standard d

miv72 [106K]

Answer:

<em>The probability that on a given day the supermarket will sell between 304 and 305 gallons of milk is 0.0127 or 1.27%</em>

Step-by-step explanation:

<u>Normal Distribution</u>

The graph of the Normal Distribution is also called the Bell Curve because of its particular shape. It occurs naturally in many real situations where a random variable needs to be modeled according to experimental results.

To evaluate the probability of a Normal Distribution, we need some kind of digital means because the formula cannot be computed directly in a formula. We'll use the MS Excel's specialized formula NORMDIST for the first value of x=304:

NORMDIST( 304 , 319.9 , 26.4 , true ) = 0.2735

Now for x=305:

NORMDIST( 305 , 319.9 , 26.4 , true ) = 0.2862

Both values are now subtracted to get the required probability

$P(304$