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ololo11 [35]
3 years ago
5

collect data (in decibels) of 10 different things in term of loudness. Arrange the data in ascending order & find mean, medi

an & mode for the same.
Mathematics
1 answer:
ss7ja [257]3 years ago
6 0
Whisper-20dB
Quiet Residence-30dB
Soft stereo in Residence-40dB
Average Speech-60dB
Cafeteria-80dB
Pneumatic Jackhammer-90dB
Loud crowd noise-100dB
Accelerating Bike-100dB
Rock concert-120dB
Jet Engine (75 ft away)-140dB

(1)Mode=100dB (since 100 is occurring the maximum no. of times, i.e. it has the highest frequency of 2)
(2)Mean=sum of observations/Total number of observations
=(20+30+40+60+80+90+100+100+120+140)/10
=770/10=10dB
(3)Median= 1/2[{n/2}th observation + {(n/2)+1}th observation], where, n=total no. of observations
So, 1/2[{10/2}th observation + {(10/2)+1}th observation]
=1/2[5th observation+6th observation]
=1/2[80+90]                    [Because:5th observation=80dB and 6th=90dB]
=1/2(170)
=85
Therefore, median=85dB

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Two fractions are given. For each one, write its decimal equivalent and determine if the decimal is terminating or non terminati
ziro4ka [17]

Answer:

9/20 yes, 4/15 not. See below

Step-by-step explanation:

Pick 9/20 and multiply numerator and denominator by 5:

9/20 = 45/100

We know that if we divide a number by 100 we need to move the coma as two places left, so:

9/20 = 45/100 = 0.45

And this is a terminal decimal as we know where it ends.

On the other hand if we pick 4/15 let try to divide it (here I will do it 'manually'):

4 |_ 15

we can divide 4 by 15, so we use 40 and begin with a comma

40 |_ 15

      0.

15 enters 2 times in 40 with a rest of 10, so:

40 |_ 15

  30  0.2

  100

100 divided by 15 is 6 and we have 10 as rest again, and again and again...

40 |_ 15

  30  0.266.....

  100

    100

      ....

So, we will have 0.266666666666666 infinitely. The decimal for 4/15 is non terminating and is 0.26666666666666666...

6 0
3 years ago
Part A: Find a rational number that is between 7.7 and 7.9. Explain why it is rational. (2 points)
8_murik_8 [283]
A rational number is any number that can be written as the ratio between two other numbers i.e. in the form \frac{a}{b}

Part A:
An easy choice that makes sense is 7.8, right in the middle. To prove that it's rational we need to write it as a ratio. In this case we have 7.8=\frac{78}{10}

Part B:
We need a number that can't be written as a ratio (because it neither terminates nor repeats). Some common ones are \sqrt{2}, e, \phi and \pi so it makes sense to try and use those to build our number. In this case \frac{11\sqrt{2}}{5}\approx7.78 works nicely. 
6 0
3 years ago
Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 6x3 ? 9x2 ? 108x + 2, [?3, 4]
SVEN [57.7K]
Assuming the question marks are minus signs
to find max, take derivitive and test 0's and endpoints

take derivitive
f'(x)=18x²-18x-108
it equal 0 at x=-2 and 3
if we make a sign chart to find the change of signs
the sign changes from (+) to (-) at x=-2 and from (-) to (+) at x=3
so a reletive max at x=-2 and a reletive min at x=3

test entpoints

f(-3)=83
f(-2)=134
f(3)=-241
f(4)=-190

the min is at x=3 and max is at x=-2
4 0
3 years ago
What is the perimeter of a rectangle with a length of 23 mm and a width of 26mm
NISA [10]

Answer:98mm

Step-by-step explanation:

You add the length and width together and then multiply by 2

4 0
2 years ago
Help please !! thank you!
lisov135 [29]

Answer:

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Step-by-step explanation:

if you put ur mouse on -2 then move to the right 1.5 you will get .5

Hope this Helps!!!

7 0
3 years ago
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