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2 years ago

A parabola has a focus of F (8.5,-4) and a directrix of x=9.5.

Mathematics

1 answer:

SVETLANKA909090 [29]2 years ago

7 0

B......is the answer

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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

The volume of a cone is 1540cm³. If its radius is 7cm, calculate the height of the cone. (Take pi = 22/7)

Ann [662]

Answer:

$h=30$

Step-by-step explanation:

Volume of a cone=1540 $cm^{3}$ , Radius=7cm.

The height of a cone=h

When we need to find the height of a cone, we can use the formula of the volume of a cone, which is $\frac{1}{3} \pi r^{2} h$ to find the height of a cone.

$1540cm^{3} =\frac{1}{3}\pi r^{2} h$

Put the pi value=22/7 and the value of radius which is 7 cm into the formula.

$1540cm^{3}=\frac{1}{3}*\frac{22}{7} 7^{2}h$

$1540cm^{3} =\frac{154}{3}h$

Move $\frac{154}{3}$ to another side. 1540 divided by $\frac{154}{3}$ to calculate what is the value of h, h is the height of a cone. Like this.

$\frac{1540cm^{3} }{\frac{154}{3} } =h$

$30=h$

Rearrange the h.

$h=30$

I hope you will understand my solution and explanation. If you still cannot get the point, you can ask me anytime! Thank you!

4 0

2 years ago

Read 2 more answers

Someone please help me will give BRAILIEST!!!!!!

Misha Larkins [42]

The answer would be 1/5

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2 years ago

WILL GIVE 30 points a scatter plot and a possible line of best fit is shown is the line of best fit accurate for the data shown

Romashka [77]

I think It is 2. it makes the most sense to me

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2 years ago

Find the length of side X

mel-nik [20]

Solve using the Pythagorean theorem.

The hypotenuse is c.

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2 years ago