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3 years ago

Plz help me with this question

Mathematics

1 answer:

sveticcg [70]3 years ago

3 0

Symmetric property could be the answer but your guess is as good as mine

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What is the sum of the n terms of the series 4 + 12 + 36 + 108 + . . . ?

arlik [135]

Sum of n terms of a geometric series is
Sn = a1 (r^n-1)/(r-1)
a1 = 1st term = 4
r = common ratio = 12/4 = 3
so, the sum is
Sn = 4 (3^n-1)/(3-1) = 2(3^n-1)

8 0

3 years ago

Consider a series system composed of 4 separate components where each component has a 30% chance of failing. Assume each compone

Marina86 [1]

Answer:

16.15% probability that exactly 3 of them would function

Step-by-step explanation:

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.

Probability of each system working:

4 components, which means that $n = 4$

Each has a 30% probability of failing, so $p = 1 - 0.3 = 0.7$

For the system to work, all 4 components have to work. This is P(X = 4).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 4) = C_{4,4}.(0.7)^{4}.(0.3)^{0} = 0.2401$

0.2401 probability of a system working.

If you have 7 of these systems, what is the probability that exactly 3 of them would function?

Now 7 systems, so $n = 7$

0.2401 probability of a system working.

We have to find P(X = 3).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{7,3}.(0.2401)^{3}.(0.7599)^{4} = 0.1615$

16.15% probability that exactly 3 of them would function

5 0

3 years ago

A model house has a scale of

Lapatulllka [165]

Answer: Assuming that you mean 1in:2ft the model house would be 13 inches wide.

Step-by-step explanation: well 1 is half of 2 right? So if you want to get the numbers easier to use then just divide that 26 by 2 and then you get the scale 1in:1ft. From there it is easy, 13 feet of the real house= 13 inches in the model house

5 0

1 year ago

Task: Nonpermissible Values for Rational Expressions [30 points] Write a rational expression that has the nonpermissible values

igor_vitrenko [27]

Answer:

A rational expression that has the nonpermissible values $x = 0$ and $x = 17$ is $f(x) = \frac{4}{x\cdot (x-17)}$ .

Step-by-step explanation:

A rational expression has a nonpermissible value when for a given value of $x$ , the denominator is equal to zero. In addition, we assume that both numerator and denominator are represented by polynomials, such that: