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dybincka [34]
3 years ago
8

Is the answer 4? I’m not sure if it’s right

Mathematics
1 answer:
kkurt [141]3 years ago
4 0

Answer:

yes im pretty sure correct me if im wrong. Good luck!!!!!

Step-by-step explanation:

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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
And archaeologist fines 30 fossils in South Dakota and Wyoming. 40% of the fossils were in South Dakota. How many fossils were f
Harrizon [31]

Answer:

It is 12. 12 fossils were found in Wyoming.

Step-by-step explanation:

3 0
3 years ago
A jewelry maker purchased 20 inches of gold chain.She used 3/8 of the chain for a bracelet. How many inches of gold did she have
Mazyrski [523]

Answer:

12.5 inches of gold chain.

Step-by-step explanation:

To get the remaining chain of gold we need to calculate

8/8 - 3/8 = 5/8 of 20 inches

then multiply:

20 * 5/8 =  100/8

100/8 = 12.5 inches

7 0
3 years ago
BRIDGE CONSTRUCTION
goblinko [34]

Answer:

with these characteristics, place the

semi-ellipse on coordinate axes in a convenient position and draw it.

5. What is the equation of the ellipse? How wide will the canal need to be for the

Petroleum ship?

6. Now that you know which of the two alternatives provides the widest channel, consider other

factors. His department is also in charge of verifying the depth of the channel, the

amount of river traffic and other details. For example, if there was a flood in the river and

the water level will rise 10 feet, how would free space be affected? Take a decision

about which project you think would be best as far as your department is concerned and

6 0
3 years ago
Find the range of f(x) = -x + 4 for the domain (-3,-2,-1,1).
timofeeve [1]
The domain: D={-3;-2;-1; 1}

f(x) = -x + 4

subtitute

f(-3) = -(-3) + 4 = 3 + 4 = 7
f(-2) = -(-2) + 4 = 2 + 4 = 6
f(-1) = -(-1) + 4 = 1 + 4 = 5
f(1) = -1 + 4 = 3

Answer: The range: {3; 5; 6; 7}
4 0
3 years ago
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