Hi, so I was wondering if anyone knows the surface area of a cylinder if the diameter is 7.5? Thank you so much! :)

Mathematics

1 answer:

disa [49]2 years ago

6 0

Answer:

206.17

Key(s):

$A = 2\pi \frac{d}{2} h + 2\pi \left(\frac{d}{2}\right)^2$

Substitute <em>d</em> for the actual diameter, 7.5, and <em>h</em> for the height, which is 5.

Step-by-step explanation:

$A = 2\cdot\pi \cdot\frac{7.5}{2} \cdot5 + 2\cdot\pi \cdot\left(\frac{7.5}{2}\right)^2$ ≈ 206.17(2 DP)

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Review:

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1Y, the number of accidents per year at a given intersection, is assumed to have a Poisson distribution. Over the past few years

miss Akunina [59]

Answer:

The probability that the intersection will come under the emergency program is 0.1587.

Step-by-step explanation:

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For the central Limit theorem, the sample mean will have a distribution Normal with mean 3 and variance 3/12 = 0.25; thus its standard deviation is √0.25 = 1/2.

Lets call the sample mean distribution X. We can standarize X obtaining a standard Normal random variable W with distribution N(0,1).

$W = \frac{X-\mu}{\sigma} = \frac{X-3}{1/2} = 2x-6$

The values of $\phi$ , the cummulative distribution function of W, can be found in the attached file. We are now ready to compute the probability of X being greater than 3.75, or equivalently, the probability than in a given year the amount of accidents is greater than 45, leading the intersection into an emergency program