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lisabon 2012 [21]

2 years ago

5

8.

1 answer:

shusha [124]2 years ago

5 0

Answer:

Axis of symmetry: x = –1; Vertex: (–1, 0); f(x) = –2x2 – 2x – 1

Step-by-step explanation:

What are the vertex and axis of symmetry of the equation?

The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .

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Grasshoppers are distributed at random in a large field according to a Poisson process with parameter a 5 2 per square yard. How

HACTEHA [7]

In this question, the Poisson distribution is used.

Poisson distribution:

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.

Parameter of 5.2 per square yard:

This means that $\mu = 5.2r$ , in which r is the radius.

How large should the radius R of a circular sampling region be taken so that the probability of finding at least one in the region equals 0.99?

We want:

$P(X \geq 1) = 1 - P(X = 0) = 0.99$

Thus:

$P(X = 0) = 1 - 0.99 = 0.01$

We have that:

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

$P(X = 0) = \frac{e^{-5.2r}*(5.2r)^{0}}{(0)!} = e^{-5.2r}$

Then

$e^{-5.2r} = 0.01$

$\ln{e^{-5.2r}} = \ln{0.01}$

$-5.2r = \ln{0.01}$

$r = -\frac{\ln{0.01}}{5.2}$

$r = 0.89$

Thus, the radius should be of at least 0.89.

Another example of a Poisson distribution is found at brainly.com/question/24098004

3 0

2 years ago

I just need help with first 2! Show work please it’s due soon and round answers to the nearest tenth !!!

natima [27]

Answer:

1. To find the volume of a cylinder you'll need to use the formula V = pi(r)^2(h)

V = pi(4)^2(6)

V = 301.59

Rounded* = 301.6

2. A beach ball is a sphere, so we're going to use the formula 4/3pi(r)^3

4/3pi(18)^3

D = 24429.02

Rounded* = 24429.0

I cant read the last one completely, hope this helps.

5 0

2 years ago

Mason collects seashells each year on the family trip to Sanibel Island. He has 90 whelks, which is 37.5% of his

anastassius [24]

Answer:420

Step-by-step explanation x=90/0.375

6 0

2 years ago

A car travel 120miles in 3hours how far will it take to travel 200miles

Alekssandra [29.7K]

Answer:

Step-by-step explanation:

120/3= is 40mph

200/40= 5

At 40 mph it will take 5 hours.

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2 years ago

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Which data sets have outliers? Check all that apply.

MissTica

Answer:

the answer is c and e

Step-by-step explanation:

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3 years ago

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