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lakkis [162]
3 years ago
6

The quotient of 27 less than m and twice m

Mathematics
1 answer:
masya89 [10]3 years ago
6 0

Answer:

<u>  m-27 </u>

  2m

Step-by-step explanation:

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PLEASE HELP FAST! I will give brainlist!
Whitepunk [10]

Answer:

D or A

Step-by-step explanation:

4 0
3 years ago
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Does the point (0, 37) satisfy the equation y = 79x - -37? yes no​
AlexFokin [52]

Answer:

yes

Step-by-step explanation:

y = 79x - -37

37 = 79(0) - - 37

37 = 0 - - 37

37 = 37

5 0
3 years ago
Evaluate the function rule for the given value. f(x)=3^x for x=-5
FromTheMoon [43]

Answer:

\frac{1}{243}

Step-by-step explanation:

using the rule of exponents

a^{-m} ⇔ \frac{1}{a^{m} }

f(- 5) = 3^{-5} = \frac{1}{3^{5} } = \frac{1}{243}


6 0
3 years ago
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
solve 4x+x+4=8x-3x+4. Does this equation have one solution, no solution or infinitely many solutions?
earnstyle [38]

One Solution: Simplify to get 5x+4=5x+4

7 0
3 years ago
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