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3 years ago

Ive worked out the yes can you help me on the no ill mark as brainliest if someone can anwser

Mathematics

1 answer:

Mashcka [7]3 years ago

6 0

Answer:

yes yes yes yes yes yes yes yes yes yes yes yes yesyes yes yes yes yes yes yes yes yes yes yes yes yes

yes yes yes yes yes yes yes yes yes yes yes yes yes

Step-by-step explanation:

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Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose t

andrezito [222]

Answer and Step-by-step explanation: For an exponential distribution, the probability distribution function is:

f(x) = λ. $e^{-\lambda.x}$

and the cumulative distribution function, which describes the probability distribution of a random variable X, is:

F(x) = 1 - $e^{-\lambda.x}$

(a) Probability of distance at most 100m, with λ = 0.0143:

F(100) = 1 - $e^{-0.0143.100}$

F(100) = 0.76

Probability of distance at most 200:

F(200) = 1 - $e^{-0.0143.200}$

F(200) = 0.94

Probability of distance between 100 and 200:

F(100≤X≤200) = F(200) - F(100)

F(100≤X≤200) = 0.94 - 0.76

F(100≤X≤200) = 0.18

(b) The mean, E(X), of a probability distribution is calculated by:

E(X) = $\frac{1}{\lambda}$

E(X) = $\frac{1}{0.0143}$

E(X) = 69.93

The standard deviation is the square root of variance,V(X), which is calculated by:

σ = $\sqrt{\frac{1}{\lambda^{2}} }$

σ = $\sqrt{\frac{1}{0.0143^{2}} }$

σ = 69.93

Distance exceeds the mean distance by more than 2σ:

P(X > 69.93+2.69.93) = P(X > 209.79)

P(X > 209.79) = 1 - P(X≤209.79)

P(X > 209.79) = 1 - F(209.79)

P(X > 209.79) = 1 - (1 - $e^{-0.0143*209.79}$ )

P(X > 209.79) = 0.0503

P(X≤m) = 0.5

$\int\limits^m_0 f({x}) \, dx$ = 0.5

$\int\limits^m_0 {\lambda.e^{-\lambda.x}} \, dx$ = 0.5

$\lambda.\frac{e^{-\lambda.x}}{-\lambda}$ = $-e^{-\lambda.x} + e^{0}$

$1 - e^{-\lambda.m}$ = 0.5

$-e^{-\lambda.m}$ = - 0.5

ln( $e^{-0.0143.m}$ ) = ln(0.5)

-0.0143.m = - 0.0693

m = 48.46

6 0

3 years ago

How fast is a bicyclist traveling in miles per hour is his tires are 27 inches in diameter and his angular speed is 5pi radians

Alinara [238K]

5π rad/sec= 60 x 2.5 = 150 rpm. The bicycle travels 27π inches per revolution
150 rpm = 150 x 27π in/min = (150 x 27π x 60)/(5280 x 12) = 12.05 mph

4 0

3 years ago

As an estimation we are told 5 miles is 8 km. Convert 57.5 miles to km.

Elena L [17]

Answer:

5 miles=8km

1miles=8/5=1.6km

57.5 miles=(57.5×1.6)km

=92km

8 0

3 years ago

Which is the quotient of 11/12 divide by 5/7

Phantasy [73]

11/12 divided by 5/7 should be 0.02619047619 you can double check it though

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3 years ago

- Your uncle has a sculpture displayed on a

notsponge [240]

Answer:

636.17251

Step-by-step explanation:

V = πr^2h = π·4.5^2·10 ≈ 636.17251

8 0

3 years ago

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