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2 years ago

What is the domain of the given function?

Mathematics

2 answers:

Sholpan [36]2 years ago

8 0

The domain is all ur x values...the range is all ur y (or f(x) values
so ur domain is : { -6,-1,0,3}....1st answer choice

sladkih [1.3K]2 years ago

4 0

Answer:

domain is { x| x= -6, -1, 0, 3}

Step-by-step explanation:

Domain is the set of x values for which the function is defined

So for domain we take all the x values

We are given with the table

domain is only the x values

Range is the set of y values

for domain we take all the x values from the table

x values are -6, -1, 0 and 3

we write domain values in set notation

{x such that x= values of x }

So domain is { x| x= -6, -1, 0, 3}

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At a specific point on a highway, vehicles arrive according to a Poisson process. Vehicles are counted in 12 second intervals, a

morpeh [17]

Answer: a) 4.6798, and b) 19.8%.

Step-by-step explanation:

Since we have given that

P(n) = $\dfrac{15}{120}=0.125$

As we know the poisson process, we get that

$P(n)=\dfrac{(\lambda t)^n\times e^{-\lambda t}}{n!}\\\\P(n=0)=0.125=\dfrac{(\lambda \times 14)^0\times e^{-14\lambda}}{0!}\\\\0.125=e^{-14\lambda}\\\\\ln 0.125=-14\lambda\\\\-2.079=-14\lambda\\\\\lambda=\dfrac{2.079}{14}\\\\0.1485=\lambda$

So, for exactly one car would be

P(n=1) is given by

$=\dfrac{(0.1485\times 14)^1\times e^{-0.1485\times 14}}{1!}\\\\=0.2599$

Hence, our required probability is 0.2599.

a. Approximate the number of these intervals in which exactly one car arrives

Number of these intervals in which exactly one car arrives is given by

$0.2599\times 18=4.6798$

We will find the traffic flow q such that

$P(0)=e^{\frac{-qt}{3600}}\\\\0.125=e^{\frac{-18q}{3600}}\\\\0.125=e^{-0.005q}\\\\\ln 0.125=-0.005q\\\\-2.079=-0.005q\\\\q=\dfrac{-2.079}{-0.005}=415.88\ veh/hr$

b. Estimate the percentage of time headways that will be 14 seconds or greater.

so, it becomes,

$P(h\geq 14)=e^{\frac{-qt}{3600}}\\\\P(h\geq 14)=e^{\frac{-415.88\times 14}{3600}}\\\\P(h\geq 14)=0.198\\\\P(h\geq 14)=19.8\%$

Hence, a) 4.6798, and b) 19.8%.

7 0

3 years ago

Find the y and x intercept 6x-8y=48

Crank

6x-8y=48

to find the x intercept set y=0

6x - 8*0 = 48

6x = 48

divide by 6 on each side

x =48/6

x=8

(8,0)

to find the y intercept set x=0

6(0) - 8y = 48

0 - 8y = 48

-8y = 48

divide by -8 on each side

y = -6

(0,-8)

8 0

2 years ago

Please help me due today

Sati [7]

Answer:

1) C. (3, 5)

2) B. Counterclockwise turn 90 degrees about the origin

3) A. C' (0, -2)

Step-by-step explanation:

i got u bro

5 0

3 years ago

4x + 2 = 5(x + 10) what is x

Leya [2.2K]

The answer would be -48

3 0

3 years ago

Read 2 more answers

Find the value of x... assume segments that appear tangent are tangent.

steposvetlana [31]

Answer:

x=12

Step-by-step explanation:

a^2 + b^2 = c^2

5^2 + b^2 = 13^2

25 + b^2 = 169

b^2= 144

b=12 Therefore,

x=12

5 0

3 years ago