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Alenkasestr [34]
3 years ago
5

100 POINTS FOR THE CORRECT ANSWER

Mathematics
1 answer:
777dan777 [17]3 years ago
6 0

Answer:

I hope this helped. Look throught the pictures

Step-by-step explanation:

You might be interested in
three tanks are capable of holding 108 litres, 168 litres and 180 litres of milk. determine the capacity of the greatest vessel
SpyIntel [72]

A vessel of 7,560 liters

Step-by-step explanation:

This means finding the Least Common Multiple for;

108 168 180

We begin by finding the multiples of each number;

Multiples of 108:

108, 216, 324, 432, 540, 648, 756, 864, 972, 1080, 1188, 1296, 1404, 1512, 1620, 1728, 1836, 1944, 2052, 2160, 2268, 2376, 2484, 2592, 2700, 2808, 2916, 3024, 3132, 3240, 3348, 3456, 3564, 3672, 3780, 3888, 3996, 4104, 4212, 4320, 4428, 4536, 4644, 4752, 4860, 4968, 5076, 5184, 5292, 5400, 5508, 5616, 5724, 5832, 5940, 6048, 6156, 6264, 6372, 6480, 6588, 6696, 6804, 6912, 7020, 7128, 7236, 7344, 7452, <u>7560</u>, 7668, 7776

Multiples of 168:

168, 336, 504, 672, 840, 1008, 1176, 1344, 1512, 1680, 1848, 2016, 2184, 2352, 2520, 2688, 2856, 3024, 3192, 3360, 3528, 3696, 3864, 4032, 4200, 4368, 4536, 4704, 4872, 5040, 5208, 5376, 5544, 5712, 5880, 6048, 6216, 6384, 6552, 6720, 6888, 7056, 7224, 7392, <u>7560</u>, 7728, 7896

Multiples of 180:

180, 360, 540, 720, 900, 1080, 1260, 1440, 1620, 1800, 1980, 2160, 2340, 2520, 2700, 2880, 3060, 3240, 3420, 3600, 3780, 3960, 4140, 4320, 4500, 4680, 4860, 5040, 5220, 5400, 5580, 5760, 5940, 6120, 6300, 6480, 6660, 6840, 7020, 7200, 7380, <u>7560</u>, 7740, 7920

The Least Common Multiple for the 3 number is;

= 7560

Therefore a vessel of 7,560 liters fills each one of them an exact number of times with no remainder.

Learn More:

For more on Least Common Multiple check out;

brainly.com/question/11978021

#LearnWithBrainly

5 0
3 years ago
Consider the substances below.
NikAS [45]
They have different masses
5 0
2 years ago
Mona had some colored papers. The teacher gave her 12 more papers. she counted all the
timama [110]

Answer:

24

Step-by-step explanation:

really need more information about the subject, but im assuming its just basic addition.

36-12=24

8 0
3 years ago
Shawn bought a hat for $17.00, shorts for $24.00 and a shirt for $12.00. How much did he spend in all?
lakkis [162]

Answer:

$53

Step-by-step explanation:

17+24=41

41+12=53

3 0
3 years ago
Read 2 more answers
A k out of n system is one in which there is a group of n components, and the system will function if at least k of the componen
Solnce55 [7]

Answer:

0.9606 = 96.06% probability that the system will function tomorrow

Step-by-step explanation:

For each component, there are only two possible outcomes. Either it works, or it does not. Components are independent. This means that we use the binomial probability distribution to solve this question.

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 a component working:

0.7 of 0.2(rain)

0.9 of 1 - 0.2 = 0.8(no rain). So

p = 0.7*0.2 + 0.9*0.8 = 0.86

0.86 - 86% probability that the system will function tomorrow

6 components:

This means that n = 6

What is the probability that the system will function tomorrow

This is

P(X \geq 4) = P(X = 4) + P(X = 5) + P(X = 6)

In which

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

P(X = 4) = C_{6,4}.(0.86)^{4}.(0.14)^{2} = 0.1608

P(X = 5) = C_{6,5}.(0.86)^{5}.(0.14)^{1} = 0.3952

P(X = 6) = C_{6,6}.(0.86)^{6}.(0.14)^{0} = 0.4046

P(X \geq 4) = P(X = 4) + P(X = 5) + P(X = 6) = 0.1608 + 0.3952 + 0.4046 = 0.9606

0.9606 = 96.06% probability that the system will function tomorrow

6 0
3 years ago
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