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3 years ago

How do I solve this?

Mathematics

2 answers:

Anna35 [415]3 years ago

7 0

So we know that cows have 4 legs and chickens have 2 so since there are 10 cows and 16 chickens you can multiply 4 times 10 and that gives you 40 then multiply 16 times 2 and that gives you 32. Then you add the 40 and 32 and that gives you 72 so you are missing 2 legs which means that it is 10 cows and 17 chickens which gives you 74 legs but only 27 animals so i have no clue how many there is of each :);)

creativ13 [48]3 years ago

6 0

Answer:

There are 10 cows and 16 chickens

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Write an equation of a line that passes through the point (7, 3) and is parallel to the line y = negative 2 over 3x + 3.

alexandr1967 [171]

Parallel lines have the same slope, but different y-intercepts

The slope of both lines is -2/3

To find the equation that passes through (7, 3) we can use the point-slope formula: y - y1 = m (x - x1)

y - (3) = (-2/3) (x - (7))

y - 3 = -2/3x + 4 and 2/3

y = -2/3x + 7 and 2/3

y = -2/3x + 7.67

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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

Emergency! I don't get this really well. Please help!<br><br>-(8-2n)=8-2(12-3n)

Naddik [55]

Answer:

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Step-by-step explanation:

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2n - 8 = -(-6n + 24) + 8

2n - 8 = 6n - 24 + 8

2n - 8 = 6n - 16

-4n = -8

Divide each side by 4

n = 2

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3 years ago

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horsena [70]

Answer:

32pi

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3 years ago

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jasenka [17]

Answer:

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Step-by-step explanation:

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Gathers like terms together:

3x+2x= 5x

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Put it together:

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