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anygoal [31]
3 years ago
10

Can somewon help me simplefly it i will mark u brainlist if u get it correct

Mathematics
2 answers:
krek1111 [17]3 years ago
5 0

Answer:

1.25j +5.25

Step-by-step explanation:

2.75j + 2.25 - 1.5j +3

Combine like terms

2.75j -1.5j   + 2.25 +3

1.25j +5.25

Sindrei [870]3 years ago
3 0

Answer:

Hey there!

We want to combine the like terms here to get-

2.75j-1.5j+3+2.25

1.25j+5.25

Hope this helps :)

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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
3 years ago
Which inequality is NOT true when x= -2?
Levart [38]

Answer: D

Step-by-step explanation:

-7 isn't greater than -4

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These factors describe the economic situation in Sub-Saharan Africa.
lana66690 [7]
The appropriate response is second and fourth.Natural assets are utilized to pay off worldwide obligation and feeble government frameworks obstruct monetary improvement are the elements portray the financial circumstance in Sub-Saharan Africa.
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3 years ago
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obtain the equation of two points passing of lines 4x-3y-1=0 and 2x-3y+3=0 and equally inclined to the axes​
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Answer:By 8(4)P.5, the slope of the line equally inclined to axes is tan(±45  

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5λ+3

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=±1

⇒λ=  

3

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​

,−1. Putting for λ, the two lines are

x−y=0,x+y−2=0.

Was this answer helpful

8 0
3 years ago
The value of y varies directly with x and y=3 when x=-6. Find y when x=1
Iteru [2.4K]
Hi, ok all you need to do is use the direct variation formula which is= y/x=y/x so you will replace your numbers by each value which get us to = 3/-6=y/1 so you cross multiply which gives us 3=-6y you divide 3 by -6 and that is the value of y, thank you for reading hope it helps ;)
6 0
3 years ago
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