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2 years ago

Graph the following features: Slope = 1/3 Y-intercept = 3

Mathematics

2 answers:

nika2105 [10]2 years ago

7 0

Answer:

If it doesn't show, use desmos graphing, it'll help you.

malfutka [58]2 years ago

5 0

Answer:

The answer is in the photo.

Step-by-step explanation:

Start by putting a dot on (0,3). Then go up one and to the right three, and that will be your next dot and then just go from there and keep going up one and to the right three. Then to get the other half of your graph you will do the opposite by going down one and to the left three.

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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

How do I solve this on my calculator to get the radius?

N76 [4]

Answer:

step by step lang Po keep learning

3 0

2 years ago

Describe the transformation from the parent<br> function: f(x) = -1/4(x - 3)^2 + 2

m_a_m_a [10]

Vertical reflection over the x-axis, shrink of 1/3, right 3, up 2

3 0

2 years ago

Jack invested $2,900 in an account paying an interest rate of 8 % compounded

damaskus [11]

Answer: $628

Step-by-step explanation:

6 0

2 years ago

PLEASE HELP!!!!!!!!

vfiekz [6]

Answer:

about 78 years

Step-by-step explanation:

Population

y =ab^t where a is the initial population and b is 1+the percent of increase

t is in years

y = 2000000(1+.04)^t

y = 2000000(1.04)^t

Food

y = a+bt where a is the initial population and b is constant increase

t is in years

b = .5 million = 500000

y = 4000000 +500000t

We need to set these equal and solve for t to determine when food shortage will occur

2000000(1.04)^t= 4000000 +500000t

Using graphing technology, (see attached graph The y axis is in millions of years), where these two lines intersect is the year where food shortages start.

t≈78 years

8 0

3 years ago

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