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pantera1 [17]
3 years ago
12

Brian and Michael are getting high speed internet access at the same time. Brian’s provider charges $60 for installation and $42

.95 a month. Michael’s provider has free installation and charges $57.95 per month. After how many months will Brian and Michael have paid the same amount?
Mathematics
2 answers:
julia-pushkina [17]3 years ago
7 0

Answer:

I need points

Step-by-step explanation:

SCORPION-xisa [38]3 years ago
5 0

Answer:

4 months.

Step-by-step explanation:

We can write formulas for the amount each person paid after x months. These will be

Brian = 60 + 42.95x

Michael = 0 + 57.95x

So for example, after 1 month Brian will have paid 102.95 for the installation and first month, while Michael will have paid only 57.95 (I put the zero in the equation to make it look like the familiar y-intercept form). We are trying the find the month at which they have paid equal amounts. Solve for x in the equation

60 + 42.95x = 57.95x

60 = (57.95 - 42.95)x

60 = 15x

x = 4

After four months.

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Assume that​ women's heights are normally distributed with a mean given by mu equals 62.5 in​,and a standard deviation given by
Misha Larkins [42]

Answer:

(a) 0.5899

(b) 0.9166

Step-by-step explanation:

Let X be the random variable that represents the height of a woman. Then, X is normally distributed with  

\mu = 62.5 in

\sigma = 2.2 in

the normal probability density function is given by  

f(x) = \frac{1}{\sqrt{2\pi}2.2}\exp{-\frac{(x-62.5)^{2}}{2(2.2)^{2}}}, then

(a) P(X < 63) = \int\limits_{-\infty}^{63}f(x) dx = 0.5899

   (in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2)

(b) We are seeking P(\bar{X} < 63) where n = 37. \bar{X} is normally distributed with mean 62.5 in and standard deviation 2.2/\sqrt{37}. So, the probability density function is given by

g(x) = \frac{1}{\sqrt{2\pi}\frac{2.2}{\sqrt{37}}}\exp{-\frac{(x-62.5)^{2}}{2(2.2/\sqrt{37})^{2}}}, and

P(\bar{X} < 63) = \int\limits_{-\infty}^{63}g(x)dx = 0.9166

(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2/sqrt(37))

You can use a table from a book to find the probabilities or a programming language like the R statistical programming language.

4 0
3 years ago
I need Geometry help!!!
choli [55]
Vertical angles are equal, so
.. 3x +8 = 5x -20
.. 28 = 2x . . . . . . . . add 20-3x
.. 14 = x . . . . . . . . . . divide by 2

Each of the vertical angles is 3*14 +8 = 50°, so the supplementary one is 130°.
.. 5*14 +4y = 130
.. 4y = 60 . . . . . . . . subtract 70
.. y = 15 . . . . . . . . . . divide by 4

The values of interest are
.. x = 14
.. y = 15
6 0
3 years ago
HELP HELP PLS The population city in 2005 was 20,000. By 2015, the city's population had grown to
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Answer:

40250

Step-by-step explanation:

Every 10 years the population goes up by 13,500. So divided 13500/2=6750. Then add6750 to 33500

4 0
3 years ago
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Nat2105 [25]

20

Step-by-step explanation:

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7 0
3 years ago
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Answer:

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Step-by-step explanation:

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6 0
3 years ago
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