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2 years ago

HELP ME PLEASE I NEED CORRECT ANSWER

Mathematics

2 answers:

jeka942 years ago

6 0

Answer:

anong grade po yarn ha ha ha po

romanna [79]2 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

The vertex is the coordinates of the turning point of the parabola

The axis of symmetry is a vertical line passing through the vertex with equation

x = c ( where c is the x- coordinate of the vertex )

vertex = (0, 0 ) , axis of symmetry is x = 0 ( the y- axis )

(1)

vertex = (- 2, 4 ) , axis of symmetry is x = - 2

(2)

vertex = (7, 1 ) , axis of symmetry is x = 7

(4)

vertex = (- 3, - 2 ) , axis of symmetry is x = - 3

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f) The life of a power transmission tower is exponentially distributed, with mean life 25 years. If three towers, operated indep

Step2247 [10]

Answer:

15.24% probability that at least 2 will still stand after 35 years

Step-by-step explanation:

To solve this question, we need to understand the binomial distribution and the exponential distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

Probability of a single tower being standing after 35 years:

Single tower, so exponential.

Mean of 25 years, so $m = 25, \mu = \frac{1}{25} = 0.04$

We have to find $P(X > 35)$

$P(X > 35) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-0.04*35} = 0.2466$

What is the probability that at least 2 will still stand after 35 years?

Now binomial.

Each tower has a 0.2466 probability of being standing after 35 years, so $p = 0.2466$

3 towers, so $n = 3$

We have to find:

$P(X \geq 2) = P(X = 2) + P(X = 3)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{3,2}.(0.2466)^{2}.(0.7534)^{1} = 0.1374$

$P(X = 3) = C_{3,3}.(0.2466)^{3}.(0.7534)^{0} = 0.0150$

$P(X \geq 2) = P(X = 2) + P(X = 3) = 0.1374 + 0.0150 = 0.1524$

15.24% probability that at least 2 will still stand after 35 years

4 0

2 years ago

PLEASE HELP. WORTH 50 PINTS IF CORRECT. A gate casts a shadow that is 5 feet long. A nearby cactus is 9 feet tall and casts a sh

brilliants [131]

Answer:

The height of the cactus is three times the height of the gate

The gate is 3 feet tall

3 0

2 years ago

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T = 3U / E solve for U

Rashid [163]

<span>T = 3U / E solve for U

3U = T * E
U = (</span>T * E)/3
U = 1/3(TE)

7 0

3 years ago

My has 3 times more books that grant , and grant has 6 f

Klio2033 [76]

I’m not sure what happened while you were writing this, but if I’m reading it right, “My” has 18 books. If “My” has 3 times as many as 6, that also means 3 times 6, which is 18.

7 0

2 years ago

8 times the difference between a number and 6 ls equal to 4 times the number.

Sveta_85 [38]

Answer:

the answer is 12 because 8 × 6 = 48 ÷ 4 = 12

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

HELP ME PLEASE I NEED CORRECT ANSWER​

HELP ME PLEASE I NEED CORRECT ANSWER