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Sholpan [36]
3 years ago
6

The graph of g is a vertical translation of the graph of the parent linear function. A right triangle with an area of 8 square u

nits is formed by the x-axis, the y-axis, and the graph of g. Write an equation for g.
Mathematics
1 answer:
NNADVOKAT [17]3 years ago
4 0
The graph of g is a vertical translation of the graph of the parent linear function. A right triangle with an area of 8 square units is formed by the x-axis, the y-axis, and the graph of g. Write an equation for g.
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The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.
Ulleksa [173]

Answer:

0.52763 is the probability that the time between the next two calls will be 54 seconds or​ less.

0.19285 is the probability that the time between the next two calls will be greater than 118.5 ​seconds.

Step-by-step explanation:

We are given the following information in the question:

The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.2 minutes.

The distribution function can be written as:

f(x) = \lambda e^{-\lambda x}\\\text{where lambda is the parameter}\\\\\text{Mean} = \mu = \displaystyle\frac{1}{\lambda}\\\\\Rightarrow 1.2 = \frac{1}{\lambda}\\\\\lambda = 0.84 \\f(x) = 0.84 e^{0.84 x}

The probability for exponential distribution is given as:

P( x \leq a) = 1 - e^{\frac{-a}{\mu}}\\\\P(a \leq x \leq b) = e^{\frac{-a}{\mu} -\frac{-b}{\mu}}

a) P( time between the next two calls will be 54 seconds or​ less)

P( x \leq 0.9)\\= 1 - e^{\frac{\frac{-54}{60}}{1.2}} = 0.52763

0.52763 is the probability that the time between the next two calls will be 54 seconds or​ less.

b) P(time between the next two calls will be greater than 118.5 ​seconds)

p( x > \frac{118.5}{60}) = P(x > 1.975)\\\\ = 1 - P(x \leq 1.975) \\\\= 1 -1+ e^{\frac{-1.975}{1.2}}\\\\= 0.19285

0.19285 is the probability that the time between the next two calls will be greater than 118.5 ​seconds.

6 0
4 years ago
Marie is riding her bike at 15 miles per hour. What is her rate of speed in feet per second?
Elina [12.6K]

Answer:

22

Step-by-step explanation:

We know that 1 miles = 5280 ft  and 1 hour = 3600 seconds

15 miles         5280 ft         1 hour

--------------- * ------------- *   --------------        =

1 hour               1 mile        3600 second

The units cancel leaving us ft/s

22 ft/s

4 0
4 years ago
Please help me !!!!!
kupik [55]

Whenever you want to write the equation of a parallel line through some point (h, k), you can ...

  • remove any added constant in the original given equation
  • replace x with (x-h)
  • replace y with (y-k)
  • rearrange the resulting equation to the form required by the problem.

Using this formula here, we get

... 2(y +5) = 3(x -2)

Your answer form requires you solve this for y.

... 2y + 10 = 3x -6 . . . . . eliminate parentheses

... 2y = 3x -16 . . . . . . . . subtract the constant on the left (10)

... y = (3/2)x -8 . . . . . . divide by 2


6 0
3 years ago
Convert the angle \theta=180^\circθ=180 ∘ theta, equals, 180, degree to radians.
VARVARA [1.3K]
For this case, the first thing you should know is the following conversion of units:
 360 degrees = 2pi radians
 Applying the conversion we have: 
 θ = 180 * (2pi / 360)
 Rewriting we have:
 θ = pi
 Answer:
 the angle to radians is:
 θ = pi
7 0
4 years ago
Louis wants to carpet the rectangular floor of his basement. The basement has an area of 864 square feet. The width of the basem
Over [174]
29.3938769134 ft

Take the radical of 864 to get an answer based on the limited info provided.
7 0
3 years ago
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