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3 years ago

How to spell 30,906 in word

Mathematics

2 answers:

tensa zangetsu [6.8K]3 years ago

5 0

Word Form

Thirty thousand nine hundred and six.

hammer [34]3 years ago

4 0

Thirty thousand nine hundred and six.

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rjkz [21]

A b c is the order of answers

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3 years ago

Im so confused! Can someone help me? I need to find the value of the variable and the measures of the angles.....

nikdorinn [45]

Hello there! I can help you! So what we are looking for is the value of x. To find the value of x, we can write and solve an equation. Set it up like this:

4x + 28 = 180

This is because the sum of the angles for a triangle is 180°. We combine the like terms to get 4x and subtract 6 from 34 to get 28. First off, let's subtract 28 from both sides. 28 - 28 cancel out. 180 - 28 is 152. That simplifies into 4x = 152. Now, divide each side by 4 to isolate the x. 4x/4 cancels out. 152/4 is 38. There's a possible value of x. Let's plug the value in and see if it works. 38 * 2 is 76. 76 - 6 is 70. 38 + 34 is 72. 70 + 72 is 142 and 142 + 38 is 180. 180 = 180. There. x = 38. Here are the answers for the angle measurements:

(x + 34) = 72°
(2x - 6) = 70°
x° = 38°

4 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

Please help me with this equation, add process too. Thanks

ICE Princess25 [194]

$\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}$

Let's solve ~ ☂

$\qquad \sf \dashrightarrow \: - 0.6(m + 1) = 3$

$\qquad \sf \dashrightarrow \: - (m + 1) = 3 \div 0.6$

$\qquad \sf \dashrightarrow \: - (m + 1) = 5$

$\qquad \sf \dashrightarrow \: - m - 1= 5$

$\qquad \sf \dashrightarrow \: - m = 5 + 1$

$\qquad \sf \dashrightarrow \: - m = 6$

$\qquad \sf \dashrightarrow \: m = - 6$

I hope it helps ~

6 0

2 years ago

Find the greatest common factor of 210, 84, and 56

mr Goodwill [35]

To get the Greates Common Factor (GCF) of 84 and 210 we need to factor each value first and then we choose all the copies of factors and multiply them:

84: 223 7210: 2 357GCF: 2 3 7

The Greates Common Factor (GCF) is: 2 x 3 x 7 = 42

3 0

3 years ago

Read 2 more answers