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2 years ago

Simplfy: -1| 2/3 - 4| / 5/6

Mathematics

2 answers:

never [62]2 years ago

7 0

Step-by-step explanation:

-1| 2/3 - 4| / 5/6

=-1 paxi ko sign k hola

sweet-ann [11.9K]2 years ago

7 0

1) Simplify $\frac{2}{3} -4$ to $-\frac{10}{3}$

-1×|-10/3|x5/6

2) simplify |-10/3| to 10/3

-1x10/3x5/6

3) use this rule: a/b x c/d = ac/bd

-1x10x5/3x6

4) simplify 1 x 10 to 10

-10x5/3x6

5) simplify 10 x 5 to 50

-50/3x6

6) simplify 3 x 6 to 18

-50/18

simplify 50/18 to 25/9

-25/9 is the answer

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Burka [1]

I cant find an answer for this sorry

4 0

2 years ago

Let's simplify

Zielflug [23.3K]

Step-by-step explanation:

Given

$= \frac{1.5 \times {10}^{4} \times 4.5 \times {10}^{3} }{2.5 \times 10 ^{2} } \\ = \frac{6.75 \times {10}^{4 + 3} }{2.5 \times {10}^{2} } \\ = \frac{6.75 \times {10}^{7} }{2.5 \times {10}^{2} } \\ = 2.7 \times {10}^{7 - 2} \\ = 2.7 \times {10}^{5}$

Hope it will help :)

8 0

2 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

2 years ago

Answer the following for each letter true or false.

Fittoniya [83]

A. False
B. True
C. False
D. True

6 0

2 years ago

Solve 5x3/4 as a mixed number, plz

lana [24]

Multiply straight across
5/1 * 3/4 = 15/4
now change it into a mixed number
3 3/4

4 0

2 years ago