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wariber [46]
3 years ago
14

Five bells begin to ring together and they ring at intervals of 3, 6, 10, 12 and 15 seconds, respectively. How many times will t

hey ring together at the same second in one hour excluding the one at the end?
Mathematics
1 answer:
Evgen [1.6K]3 years ago
6 0

Answer:

60 times will they ring together at the same second in one hour excluding the one at the end.

Step-by-step explanation:

Given : Five bells begin to ring together and they ring at intervals of 3, 6, 10, 12 and 15 seconds, respectively.

To find : How many times will they ring together at the same second in one hour excluding the one at the end?

Solution :

First we find the LCM of 3, 6, 10, 12 and 15.

2 | 3  6  10  12  15

2 | 3  3   5   6  15

3 | 3  3   5   3  15

5 | 1    1  5   1    5

  | 1    1   1   1     1

LCM(3, 6, 10, 12,15)=2\times 2\times 3\times 5

LCM(3, 6, 10, 12,15)=60

So, the bells will ring together after every 60 seconds i.e. 1 minutes.

i.e. in 1 minute they rand together 1 time.

We know, 1 hour = 60 minutes

So, in 60 minute they rang together 60 times.

Therefore, 60 times will they ring together at the same second in one hour excluding the one at the end.

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A set of data items is normally distributed with a mean of 240 and a standard deviation of 32. Convert 272 to a? z-score
dem82 [27]

Answer:

z-score = 1

Step-by-step explanation:

Given

Mean= μ=240

SD= σ=32

In order to find the z-score of a value, the mean is subtracted from the value and then divided by standard deviation.

The formula for z-score is:

z-score=(x-μ)/σ

Here x is the value whose z-score is to be found.

In the given question, x = 272

So,

z-score=(272-240)/32

=32/32

=1

So , the z-score for 272 is 1..

7 0
2 years ago
The measures of two angles of a triangle are 61 and 84 degrees. Find the measure of the third angle.
Serhud [2]

Answer:

The measure of the third angle is 35°.

Step-by-step explanation:

The sum of the three angles of a triangle is always 180°.

Let the measure of the third angle be x.

∴ 61° + 84° + x = 180°

           145 + x =180°

                    x = 180 - 145

                    x = 35°

Hope this answer was helpful!!

If you liked it, please mark it as the Brainliest!!

Regards..

8 0
3 years ago
Read 2 more answers
Draw a line plot for the fallowing data measured in inches
sladkih [1.3K]
Here you go I hope I helped

4 0
3 years ago
How many eggs in a dozen
Over [174]

Answer:

Step-by-step explanation:

a dozen is 12, whether its eggs or anything else (except a bakers dozen)

4 0
2 years ago
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800 g pineapple
neonofarm [45]

Answer:

<u>30 people </u>

Step-by-step explanation:

The question is as following:

Here are the ingredients for pineapple sherbet for 6 people

800g pineapple 4 egg whites 1/2 lemon 100g caster sugar

Dan makes pineapple sherbet he uses 2 1/2 lemons

work out how many people he makes pineapple sherbet for?

=======================================================

1/2 lemon needed for pineapple sherbet for 6 people

2 1/2 lemons needed for pineapple sherbet for <u>x</u> people

1/2 : 6 = 2 1/2 : x

∴ x = ( 6 * 2 1/2 ) ÷ (1/2)

x = 6 * 5/2 * 2 = 30 people

<u>So, he make the pineapple sherbet for 30 people </u>

5 0
3 years ago
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