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irinina [24]
3 years ago
12

Abdi has two electric train sets: A and B. Each train is on its own circular track. He starts both trains at the same time. Trai

n A returns to its starting point every 12 seconds. Train B returns to its starting point every 9 seconds. If the trains continue traveling what is the least amount of time in seconds that both trains will arrive at the starting points at the same time?
Mathematics
2 answers:
Fiesta28 [93]3 years ago
4 0

Answer:

<h2>After 36 seconds.</h2>

Step-by-step explanation:

To find the answer to this problem, we have to sum each period of time for each train, and see where they use the same time. Train A will return each 12 seconds and Train B will return each 9 seconds, this means that we have to build two sequences with this increasing numbers.

A       B

12      9

24     18

36     27

48     36

As you can observe in the sequences, after 36 seconds both trains will arrive at the starting points at the same time. To reach such time equivalence, the train A has to make three laps, and train B hast to make 6 laps.

Therefore, the answer is "after 30 seconds".

mrs_skeptik [129]3 years ago
3 0

Answer: 36 seconds

Step-by-step explanation:

A: 9, 18, 27, 36

B: 12, 24, 36

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What is the mean of the numbers?
velikii [3]

Answer:

1.6666666666666...

Step-by-step explanation:

10/6=5/3=1.6666666...

6 0
3 years ago
Which sequence follows the rule 2n + 6, where n represents the position of a term in a sequence? 6, 8, 12, 18, . . . 6, 12, 18,
melamori03 [73]

ANSWER

8, 10, 12, 14, . . .

EXPLANATION

The given rule for the sequence is :

f(n)=2n+6

The domain for a sequence is the set of natural numbers.

When n=1,

f(1)=2(1)+6=8

When n=2,

f(2)=2(2)+6=10

When n=3,

f(3)=2(3)+6=12

When n=4,

f(4)=2(4)+6=14

Therefore the sequence that follows the given rule is

8, 10, 12, 14, . . .

8 0
3 years ago
A bank in the Bay area is considering a training program for its staff. The probability that a new training program will increas
WITCHER [35]

Answer:

P(B' \cup A') = P((A \cap B)') = 1-P(A \cap B)= 1-0.32=0.68

See explanation below.

Step-by-step explanation:

For this case we define first some notation:

A= A new training program will increase customer satisfaction ratings

B= The training program can be kept within the original budget allocation

And for these two events we have defined the following probabilities

P(A) = 0.8, P(B) = 0.2

We are assuming that the two events are independent so then we have the following propert:

P(A \cap B ) = P(A) * P(B)

And we want to find the probability that the cost of the training program is not kept within budget or the training program will not increase the customer ratings so then if we use symbols we want to find:

P(B' \cup A')

And using the De Morgan laws we know that:

(A \cap B)' = A' \cup B'

So then we can write the probability like this:

P(B' \cup A') = P((A \cap B)')

And using the complement rule we can do this:

P(B' \cup A') = P((A \cap B)')= 1-P(A \cap B)

Since A and B are independent we have:

P(A \cap B )=P(A)*P(B) =(0.8*0.4) =0.32

And then our final answer would be:

P(B' \cup A') = P((A \cap B)') = 1-P(A \cap B)= 1-0.32=0.68

5 0
3 years ago
What are alternate exterior
vichka [17]
Alternate exterior angles are the pair of angles that lie on the outer side of the two parallel lines but on either side of the transversal line. Illustration: ... Notice how the pairs of alternating exterior angles lie on opposite sides of the transversal but outside the two parallel lines.
5 0
3 years ago
An example of a(n) ___is 5, 12 and 13.
Anarel [89]

Answer:

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Step-by-step explanation:

This is usually expressed as a² + b² = c² Integer triples which satisfy this equation are Pythagorean triples. The most well known examples are (3,4,5) and (5,12,13).

7 0
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