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Free_Kalibri [48]
3 years ago
10

2 cars departed the same place at the same

Mathematics
1 answer:
Anika [276]3 years ago
5 0
200 miles and 480 miles so the answer would be the second car travelled 280 miles further
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Ion sorry I don’t know I’m tryna ask a question
7 0
3 years ago
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A local animal rescue organization receives an average of 0.55 rescue calls per hour. Use the Poisson distribution to find the p
andreyandreev [35.5K]

Answer:

B) 0.894

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 interval.

A local animal rescue organization receives an average of 0.55 rescue calls per hour.

This means that \mu = 0.55

Probability that during a randomly selected hour, the organization will receive fewer than two calls.

P(X < 2) = P(X = 0) + P(X = 1)

In which

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

P(X = 0) = \frac{e^{-0.55}*(0.55)^{0}}{(0)!} = 0.577

P(X = 1) = \frac{e^{-0.55}*(0.55)^{1}}{(1)!} = 0.317

P(X < 2) = P(X = 0) + P(X = 1) = 0.577 + 0.317 = 0.894

5 0
3 years ago
Consider the surface f (x comma y comma z )f(x,y,z)equals=negative 2 x squared plus 2 y squared minus 3 z squared plus 3 equals
trapecia [35]

Answer:

a) (8,8,-6)

b) 4x+4y+3z = -3

Step-by-step explanation:

a)

The surface is given by the equation  

f(x,y,z) = 0 where

f(x,y,z)=-2x^2+2y^2-3z^2+3

The gradient of this function is the vector

(\frac{\partial f}{\partial x},\frac{\partial f}{\partial y},\frac{\partial f}{\partial z})=(-4x,4y,-6z)

If we evaluate it in the point P = (-2,2,1) we obtain the point

(8,8,-6)

b)

The vectors with their tails at P are of the form  

(-2,2,1)-(x,y,z) = (-2-x, 2-y, 1-z)

as they must be orthogonal to the gradient, they must be orthogonal to the vector (8,8,6) so their inner product is 0

(-2-x,2-y,1-z)\cdot(8,8,6)=0\Rightarrow -16-8x+16-8y+6-6z=0\Rightarrow 4x+4y+3z=-3

and the equation of the desired plane is

4x+4y+3z = -3

3 0
4 years ago
Select the correct answer.<br> Which of these is not a key feature of the function
kkurt [141]

Answer:

what is the answer to this question?

Step-by-step explanation:

7 0
4 years ago
Which relationships could have a negative correlation? Select three options.
Rudik [331]

The relationships that could have a negative correlation are as follows:

  • the speed of a train and the length of time to reach the destination
  • number of hours worked and free time
  • speed of a car and minimum stopping distance

<h3>What is negative correlation?</h3>

Correlation between two variables shows the relationship between the two variables.

A positive correlation means that both variables move in the same direction i.e. as one increases, the other increases.

However, a negative correlation means that both variables are inversely related i.e. one increases as the other decreases.

Therefore, the relationships that could have a negative correlation i.e. inversely related are as follows:

  1. the speed of a train and the length of time to reach the destination
  2. number of hours worked and free time
  3. speed of a car and minimum stopping distance

Learn more about correlation at: brainly.com/question/6563788

#SPJ1

5 0
2 years ago
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