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3 years ago

What's one fifth of 45

2 answers:

5 0

Well lets do the math

One way to do it is 45/5 witch would be 9.

Another way to do it is 1/5 * 45 which is also nine.

To check do 9*5 or 9+9+9+9+9 and either way you get 45.

So, one fifth of 45 in 9

pishuonlain [190]3 years ago

3 0

1 /5 = 0 . 2
45 * . 2 = 9
Hope this helped :)

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Which is the factorization of 8x2 + 13x – 6

pashok25 [27]

Answer:

(8x−3)(x+2)

Step-by-step explanation:

Factor 8x2+13x−6

8x2+13x−6

=(8x−3)(x+2)

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3 years ago

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3x+4y+z=-2<br> 2y+3z=-8<br> z=-3

masya89 [10]

Answer:

z=-3 so 2y+3(-3)=-8, 2y-9=-8, add 9 to both sides 2y=1 divide both sides by 2, y=1/2, so 3x+4(1/2)+-3=-2, 3x+2-3=-2, 3x-1=-2, add 1 to both sides, 3x=-1, divide both sides by 3, x=-1/3

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3 years ago

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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

A four-pack of 4242-ounce ink cartridges sells for $85.99$85.99. The expression 42c42c represents the amount of ink in a number

masya89 [10]

The variable cc refers to how much ink is in a certain number of cartridges. If the box says 42cc, that means the amount of ink in those particular cartridges is 42. If a box said 12cc, the amount would be 12. The variable cc just states the amount of ink you can expect from a particular amount of cartridges.

8 0

3 years ago

How to solve for 93,94, and 95

kvasek [131]

Answer:

93- not a triangle

94- right triangle

95- I dont know sorry!

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3 years ago