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3 years ago

Find the mean set of this data set 25,45,12,34,3645,19,20

Mathematics

2 answers:

alisha [4.7K]3 years ago

6 0

Mean=( 25+45+12+34+3645+19+20)/7=542.8571429=543 (3sf)

Dimas [21]3 years ago

5 0

25+45+12+34+36+45+19+20/8= 29.5
Therefore 29.5 is your mean. (:

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Write your answer as a whole number and remainder.<br> 19 + 7 =<br> R

larisa86 [58]

26 all you gotta do is add!

4 0

3 years ago

What are the dimensions of the lightest open-top right circular cylindrical can that will hold a volume of 2197 cm cubed?

Zarrin [17]

Answer:

radius = height ≈ 8.88 cm

Step-by-step explanation:

If the weight is proportional to the surface area, then we need to find the minimum surface area for the given volume.

The volume of the can is given by ...

V = πr²h . . . . . . for radius r and height h

The surface area includes that of the bottom and the sides:

SA = πr² +2πrh

Solving the first equation for h, we can write the second equation as ...

SA = πr² +2πr(V/(πr²)) = πr² +2V/r

The minimum area for the volume will be found where the derivative is zero.

d(SA)/dr = 2πr -2V/r² = 0

πr³ = V . . . . . multiply by r²/2 and add V

Then the can radius is ...

r = ∛(V/π)

and the height is ...

h = V/(π(V/π)^(2/3)) = ∛(V/π) = r

For the given volume, the dimensions are ...

r = h = ∛(2197/π) ≈ 8.8762 cm

The lightest can with that volume has a radius and height of about 8.88 cm.

_____

<em>Comment on cylinder aspect ratio</em>

You may notice that the lateral area is equal to twice the bottom area for this cylinder. If the can had a top, the minimum weight would be such that the lateral area is twice the total of top and bottom area. In that case, the height is equal to the diameter, not the radius.

4 0

3 years ago

in 2010 , a city's population was 55,210 and it was declining at a rate of 1.09% each year. which is the best prediction for whe

Anon25 [30]

Answer: 2023

Step-by-step explanation:

Since, the initial population of the city is 55,210,

And, it is declining at a rate of 1.09%.

Thus, the function that shows the population after x years since 2010 is,

$f(x) = 55210(1-\frac{1.09}{100} )^x$

$f(x) = 55210(1-0.0109)^x$

$f(x) = 55210(0.9891)^x$

If the population of town is 48000 in x years.

⇒ $55210(0.9891)^x= 48000$

⇒ $(0.9891)^x= 0.869407715993$

⇒ $x = 12.769$

Therefore, after 12.769 years the population of town will be equals to 48,000

⇒ After 12.770 years the population will first be below 48,000.

⇒ After approx 13 years the population will first below 48,000.

⇒ Around 2023 the population will be first below 48,000.

3 0

3 years ago

The mean of 100 observation is found to be 40. If at the time of compution two items were wrongly taken as 30 and 27 instead of

Colt1911 [192]

Answer:

40.18

Step-by-step explanation:

According to this question, the mean of 100 observation is found to be 40. This means that the number of values in the set of data is 100. However, at the time of computation two items were wrongly taken as 30 and 27 instead of 3 and 72.

The mean is derived by dividing the sum of values in the data (Σx) by the number of observations (n) i.e.

Mean = Σx/n

For the computation error:

Mean = 40

Let x represent the sun of other 98 values except 30 and 27

n = 100

40 = x + 30 + 27/100

40 = 57 + x/100

Cross multiply

4000 = 57 + x

x = 4000 - 57

x = 3943.

Sum of other 98 values = 3943.

Now, let's find the correct mean with correct values of 3 and 72;

Mean = Σx/n

Mean = 3943 + 3 + 72/100

Mean = 4018/100

Mean = 40.18

7 0

3 years ago

Help me, please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

erica [24]

Answer:

The first one is the answer

3 0

3 years ago