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polet [3.4K]
3 years ago
6

A one-minute advertisement on a local television station during prime time (8-10p.m.) costs the advertiser $12,800. To the neare

st cent, how much does the advertisement cost per second? Show your work using dimensional analysis.
Mathematics
1 answer:
bearhunter [10]3 years ago
6 0
To determine the cost per second can be calculated by converting the given unit in terms of second. The conversion factor that will be used is 1 minute is equal to 60 seconds. Also, use proper dimensional analysis as shown below.

      R = ($12,800 / minute) (1 minute / 60 seconds)
           R = $213.33/seconds

Therefore, one second of advertisement during prime time costs $213.33. 
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Step-by-step explanation:

Given : A shoe manufacturer collected data regarding men's shoe sizes and found that the distribution of sizes exactly fits the normal curve.

Let x be the random variable that represents the shoe sizees.

Also, The population mean = \mu=11 ; Standard deviation: \sigma=1.5

Formula for z:-

z=\dfrac{x-\mu}{\sigma}

Put x= 8, we get

z=\dfrac{8-11}{1.5}=-2

Now, the probability that the male shoe sizes are greater than 8 :-

P(x>8)=P(z>-2)=1-P(z\leq-2)\\\\=1-0.0227501=0.9772499\approx0.9772

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