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Anestetic [448]
3 years ago
6

Under his cell phone plan, Ian pays a flat cost of $59.50 per month and $5 per gigabyte. He wants to keep his bill under $80 per

month. Which inequality can be used to determine xx, the maximum number of gigabytes Ian can use while staying within his budget?
Btw this is Delta math Inequalities in Context (MC)
Mathematics
1 answer:
inessss [21]3 years ago
3 0
You would start by saying his budget is $80 so you start with 80= he pays an initial fee of $59.50 every month plus $5 per gigabyte so you would set it up like
80=59.50+5x
X being how many gigabytes he uses then you solve 80-59.50 is 20.5 divided by 5 gives you 4.1 but you round down cause you don’t want to pass the limit so therefor the most gigabytes he can use is 4
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Ber [7]

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Probability that a group of 4 Americans watch more than 400 hours of television per year is 0.3264.

Step-by-step explanation:

We are given that a nationwide census is conducted and it is found that the mean number of hours of television watched per year by Americans is 350 with a standard deviation of 220.

A group of 4 Americans is selected.

Let \bar X = <u><em>sample mean number of hours of television watched per year</em></u>

The z score probability distribution for sample mean  is given by;

                             Z  =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = population mean = 350

            \sigma = standard deviation = 220

            n = sample of Americans = 4

Now, the probability that a group of 4 Americans watch more than 400 hours of television per year is given by = P(\bar X > 400 hours)

     

     P(\bar X > 400) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } > \frac{400-350}{\frac{220}{\sqrt{4} } } ) = P(Z > 0.45) = 1 - P(Z \leq 0.45)

                                                        = 1 - 0.6736 = <u>0.3264</u>

The above probability is calculated by looking at the value of x = 0.45 in the z table which has an area of 0.6736.

Hence, the probability that a group of 4 Americans watch more than 400 hours of television per year is 0.3264.

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