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dsp73
3 years ago
10

Four bells ring at intervals of 3, 7 , 12 and 14 minutes respectively. All four rang together at 4:00a.m. At what time will they

ring together again?
Mathematics
1 answer:
Vlada [557]3 years ago
8 0
Basically ur just looking for the LCM (lowest common multiple) of all of these numbers.

3,7,12,14....lowest number that all 4 of these numbers go into evenly is 84.

so they will ring together next in 84 minutes (1 hr 24 minutes) making it 5:24 a.m.
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A random sample of 10 shipments of stick-on labels showed the following order sizes.10,520 56,910 52,454 17,902 25,914 56,607 21
sammy [17]

Answer:

Confidence Interval: (21596,46428)

Step-by-step explanation:

We are given the following data set:

10520, 56910, 52454, 17902, 25914, 56607, 21861, 25039, 25983, 46929

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{340119}{10} = 34011.9

Sum of squares of differences = 551869365.6 + 524322983.6 + 340111052.4 + 259528878 + 65575984.41 + 510538544 + 147644370.8 + 80512934.41 + 64463235.21 + 166851472.4 = 2711418821

S.D = \sqrt{\frac{2711418821}{9}} = 17357.09

Confidence interval:

\mu \pm t_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

t_{critical}\text{ at degree of freedom 9 and}~\alpha_{0.05} = \pm 2.2621

34011.9 \pm 2.2621(\frac{17357.09}{\sqrt{10}} ) = 34011.9 \pm 12416.20 = (21595.7,46428.1) \approx (21596,46428)

7 0
3 years ago
Division 54 /7.5 plz answer this​
harkovskaia [24]

Answer:

turn the decimal into a whole number by multiplying by 10, 100 (what you do to one number you must do to the other)

multiply both by 10 it then becomes

540/75 = 7.2

it's easier to divide whole numbers and is the same answer as 54/7.5

6 0
3 years ago
Write the equation of the line parallel to 2x - 6y = 12 that passes through the point ( -1, 4).​
vlada-n [284]

Answer:

y = 1/3x + 4 1/3

Step-by-step explanation:

2x - 6y = 12

First find the slope

Solve for y

Subtract 2x

2x - 6y -2x= 12-2x

-6y = -2x+12

Divide by -6

-6y/-6 =-2x/-6 +12/-6

y = 1/3 x -2

The slope is 1/3

Parallel lines have the same slope

Using the slope intercept form y = mx+b where m is the slope and b is the y intercept

y = 1/3x +b

And substituting in the point

4 = 1/3 (-1) +b

4 = -1/3 +b

Add 1/3 to each side

4 + 1/3 = b

y = 1/3x + 4 1/3

4 0
3 years ago
When you view the pendulum’s swing, it shows that at the very top of the swing KE = 0. What does that tell you about the pendulu
slava [35]

Answer:

The kinetic energy of an object is given by: Kinetic energy = 1/2 * mass * velocity If the kinetic energy of the pendulum at the top of its swing is 0, then this tells us that the velocity of the pendulum at that point is 0

4 0
3 years ago
Read 2 more answers
Thank you everyone for helping me this year to get good grades I am giving points.​
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Yayyyy I’m so happy you got good grades
6 0
3 years ago
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