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Eduardwww [97]
3 years ago
10

How do I write an equation for #17?

Mathematics
2 answers:
Svetllana [295]3 years ago
8 0
16.95x + .05y = 22.95x + .02y
Tanya [424]3 years ago
5 0

let's say we have two phone companies, A and B, A charges $16.95 monthly and $0.05 a minute, B $22.95 monthly and $0.2 a minute.

company A

1 minute...................... $16.95 + 0.05(1)

2 minutes.................... $16.95 + 0.05(2)

3 minutes.................... $16.95 + 0.05(3)

x minutes.................... $16.95 + 0.05(x)


company B

1 minute...................... $22.95 + 0.02(1)

2 minutes.................... $22.95 + 0.02(2)

3 minutes.................... $22.95 + 0.02(3)

x minutes.................... $22.95 + 0.02(x)


when will the cost of each plan be the same?  well, that happens when 16.95 +0.05x = 22.95 + 0.02x.


\bf \stackrel{A}{16.95+0.05x}=\stackrel{B}{22.95+0.02x}\implies 0.05x-0.02x=22.95-16.95
\\\\\\
0.03x=6\implies x=\cfrac{6}{0.03}\implies x=200

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Answer:

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Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 45 - 1 = 44

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 44 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2

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M = T\frac{s}{\sqrt{n}} = 2\frac{1.5}{\sqrt{45}} = 0.4

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The lower end of the interval is the sample mean subtracted by M. So it is 12.1 - 0.4 = 11.7 units

The upper end of the interval is the sample mean added to M. So it is 12.1 + 0.4 = 12.5 units

The 95% confidence interval for the average number of units that students in their college are enrolled in is between 11.7 and 12.5 units.

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For safety reasons, four different alarm systems were installed in the vault containing the safety deposit boxes at a beverly hi
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I'm using spaces to make the number more readable
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Read 2 more answers
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