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mel-nik [20]
3 years ago
10

Please help! Simplify the polonomial!​

Mathematics
2 answers:
vichka [17]3 years ago
7 0
D (: 2x3 + 8x2 +3x +12
Phantasy [73]3 years ago
3 0

Answer:

Step-by-step explanation:

(2x^{2}+3)(x+4)

2x^{3}+8x^{2}+3x+12

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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
Katie make $63.70 babysitting for 6.5 hours how much money does she make per hour? how much money would Katie earn in 5 hours?​
Lubov Fominskaja [6]

Answer:She makes 9.8 an hour and 58.8 in 5 hours.

Step-by-step : You divide 63.70 by 6.5 which comes out to 9.8 which is your hourly wage then do 9.8 times 5 to get 58.8

6 0
3 years ago
Help asap will mark brainliest
katen-ka-za [31]

Answer:

(-5 3/4, 1 2/3)

Step-by-step explanation:

the line intersects right before the -6, so it’s not -6. yet, it is as close to -6 as you can get which would be -5 3/4. meaning the closes would be the third choice.

8 0
3 years ago
I don’t know how to do this one:/ i need help:/
likoan [24]

Answer:

B

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Create a system of linear equations with one solution. In your final answer, include the system of equations and the graphs of t
GrogVix [38]

Answer:

<u>System of equations</u>

x + y = 5

y - 2x = -4

(x,y) = (3,2) --- solution

See attachment for graph

Step-by-step explanation:

Solving (a): Linear equations with 1 solution

The only condition to this is that, the system must have 1 solution.

Other than that, there is no other condition.

A linear equation is represented as:

ax + by= c

For the equation to have 1 solution;

a_1 * b_2 \ne a_2 * b_1

And example of such equation is:

x + y = 5

y - 2x = -4

Solving (b): The graph

See attachment for graph

The solution is the point of intersection of both lines of the graph. So, we have:

(x,y) = (3,2)

8 0
3 years ago
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