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tankabanditka [31]
4 years ago
13

Find a missing numerators in each of the following problems. a. 10/15 = /60 b. /180 = 4 / 9 c. 7/11 = /121 d. /144 = 2/6

Mathematics
1 answer:
Lubov Fominskaja [6]4 years ago
3 0

Answer:

  a) 40

  b) 80

  c) 77

  d) 48

Step-by-step explanation:

To find the missing numerator, multiply the equation by the denominator of the fraction with the missing numerator.

a) (10/15)(60) = (x/60)(60)

  40 = x

__

b) (x/180)(180) = (4/9)(180)

  x = 80

__

c) (7/11)(121) = (x/121)(121)

  77 = x

__

d) (x/144)(144) = (2/6)(144)

  x = 48

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Find the mean,median,mode and,range of the following data set 18 12 14 12 16 24 18 12 14
devlian [24]

Answer:

Mean = 15.5

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Mode = 12

Range = 12

Step-by-step explanation:

The mean is the sum of all the values divided by the number of values.

So mean = S/N.

There are 9 values, so N = 9.

These values are 18,12,14,12,16, 24,18,12,14. So S = 18+12+14+12+16+24+18+12+14 = 140

Mean = 140/9 = 15.5

-------------------------------------------------------------------------------

For the median, the first step is to sort all the elements in a crescent way.

So 12 12 12 14 14 16 18 18 24

Then you will need to consider whether N is even or odd.

If N is even, to find the median you need to sum the values at the positions N/2 and (N/2)+1 and divide by 2.

In this case, N is odd. So the median will be the value at the position (N+1)/2, which is 14.

--------------------------------------------------------

The mode is the value that appears most often in a set. In this set, 12 appears 3 times, 14 and 18 appears twice and while 12 and 13 appear once each. So the mode is 12.

--------------------------------

The range of a set is:

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In this set: range = 24-12 = 12

4 0
3 years ago
Does anyone know how to solve the equation ln 2 - ln(x - 8) = 4, giving nearly 80 points
RoseWind [281]

Answer:

x= 8.1353

x= 8.135 (rounded to the nearest tenth-thousandths)

x= 8.14 (rounded to the nearest thousandths)

x= 8.1 (rounded to the nearest tenth)

Step-by-step explanation:

<u><em>Note I am not 100% sure with my answer</em></u>

2 − ln (x − 8)= 4

−ln (x − 8) + 2= 4

−ln (x − 8) + 2 + −2= 4 + −2

−ln (x − 8)= 2

−ln (x − 8)/−1= 2/−1

ln (x − 8)= −2

<solve for the logarithm (ln)>

ln (x − 8)= −2

e^ln (x − 8)= e^−2

x − 8= e^−2

x − 8= 0.1353

x − 8 + 8= 0.1353 + 8

x= 8.1353

5 0
3 years ago
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