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dybincka [34]
3 years ago
8

Use scientific notation to find the product of 20.5 × 10 7 and 0.000036

Mathematics
1 answer:
Likurg_2 [28]3 years ago
8 0
<span>Use scientific notation to find the product of 20.5 × 10 7 and 0.000036

the product of these 2 is 7380</span>
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Traffic flow is traditionally modeled as a Poisson distribution.A traffic engineer monitors the traffic flowing through an inter
babymother [125]

Answer:

There is a 6.07% probability that during next 2 min exactly 5 cars passing an intersection are from state.

Step-by-step explanation:

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

In this problem, we have that:

A traffic engineer monitors the traffic flowing through an intersection with an average of 6 cars per minute. So in 2 minutes, 12 cars are expected to flow through the intersection.

If 75% of vehiclesare from state, what is the probability that during next 2 min exactly 5 cars passing an intersection are from state?

We want to know how many of these cars are from state. In 2 minutes, 0.75*12 = 9 cars from the state are expected to pass the intersection, so \mu = 9.

We want to find P(X = 2).

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 5) = \frac{e^{-9}*9^{5}}{(5)!} = 0.0607

There is a 6.07% probability that during next 2 min exactly 5 cars passing an intersection are from state.

7 0
3 years ago
which equation represents an exponential function that passes through the point (2, 80)? f(x) = 4(x)5 f(x) = 5(x)4 f(x) = 4(5)x
pav-90 [236]

we know that

if the exponential function passes through the given point, then the point must satisfy the equation of the exponential function

we proceed to verify each case  if the point (2,80) satisfied the exponential function

<u>case A</u>  f(x)=4(x^{5})

For x=2 calculate the value of y in the equation and then compare with the y-coordinate of the point

so

f(2)=4(2^{5})=128

128\neq 80

therefore

the exponential function  f(x)=4(x^{5}) not passes through the point (2,80)

<u>case B</u>  f(x)=5(x^{4})

For x=2 calculate the value of y in the equation and then compare with the y-coordinate of the point

so

f(2)=5(2^{4})=80

80=80

therefore

the exponential function f(x)=5(x^{4}) passes through the point (2,80)

<u>case C</u>  f(x)=4(5^{x})

For x=2 calculate the value of y in the equation and then compare with the y-coordinate of the point

so

f(2)=4(5^{2})=100

100\neq 80

therefore

the exponential function f(x)=4(5^{x}) not passes through the point (2,80)

<u>case D</u>  f(x)=5(4^{x})

For x=2 calculate the value of y in the equation and then compare with the y-coordinate of the point

so

f(2)=5(4^{2})=80

80=80

therefore

the exponential function f(x)=5(4^{x}) passes through the point (2,80)

therefore

<u>the answer is</u>

f(x)=5(x^{4})

f(x)=5(4^{x})

7 0
3 years ago
What is the distance between the point (−10, −2) and the point (−4, −2) ?
enot [183]
Distance = root (x1-x2)²+(y1-y2)² = root (-10--4)²+(-2--2)² = 6
the answer is 6 units   (The answer is 6 units)
8 0
3 years ago
Read 2 more answers
4) Write the quadratic equation of the following in vertex form: vertex (-1,3) and passes through (1,-5)
Lilit [14]
You will have to set up a system of equations
4 0
2 years ago
Read 2 more answers
Susie has 8/9 <br> cup of ice cream. How many 1/4<br> cup servings can she make?
trapecia [35]

Answer:8 cup servings. 1/4×8=8/4

Step-by-step explanation:

3 0
3 years ago
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