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3 years ago

3x - 6 + z (if x =9) (if z = 1 )

Mathematics

2 answers:

solmaris [256]3 years ago

8 0

Answer:

hope this answer helps you dear!

Vedmedyk [2.9K]3 years ago

4 0

Answer:

3 (9)-6+(1)

27 - 6 + 1

21 +1

HOpe it helps

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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

4 years ago

What is the value of x?

SVETLANKA909090 [29]

Answer:12

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A tool set sells for $150 at a local hardware store. The tool set is on sale for 20% off the retail price, p, given by f(p)=0.80

bogdanovich [222]

Answer:

6 Dollars.

Step-by-step explanation:

A toolset sells for $150 at a local hardware store. The toolset is on sale for 20% off the retail price, p, given by f(p) = 0.80p. Devon is interested in buying the toolset and has a coupon for $30 off the price of the toolset, which can be represented by g(p) = p – 30.

Therefore, the cost of using the coupon followed by the discount,

f[g(p)] = 0.80(p - 30) = 0.80(150 - 30) = 96 dollars.

And the cost of using the discount followed by the application of the coupon,

g[f(p)] = 0.80p - 30 = 0.80 × 150 - 30 = 90 dollars.

Therefore, the difference between f[g(p)] and g[f(p)] is (96 - 90 ) = 6 dollars. (Answer)

7 0

3 years ago

ASAPPPPPPPPPPPPPP HELPPPPPPPPPPPPPP

Liula [17]

Step-by-step explanation:

hey it's very simple

I just solve this

and ur correct answer is 3rd option

6 0

3 years ago

In two or more complete sentences, describe the transformation(s) that take place on the parent function f(x) = 3x to obtain the

zepelin [54]

If you mean 3(-x+1)+5:

There is a vertical stretch by a factor of 3. There is a reflection over the y axis. The graph moves left one unit and up by 5 units.

Hope this helps, and I provide an image in case it helps!

3 0

3 years ago

3x - 6 + z (if x =9) (if z = 1 )​

3x - 6 + z (if x =9) (if z = 1 )