EXERCISES 1. The mean of the number 5, 2, 3, x, 9 is 48. Find the value of and state the mode of the five numbers Given the following observations: 37.5, 255, 305, 41.5, 52.5, 28.25, and 30.5 calculate: The mean (11) Median and () mode The table below shows the number of people in the familles living in the houses of Phase 1, Gwagwalada Size of Family Frequency 2 11 Fine the mean of the distribution Find the median of the distribution Find the mode of the distribution Given the following frequency distribution 0-4 5-9 10-14 6 15-19 7 20-24 10 25-29 12 4 37 5 31 6 10 25 2 4.6 (() (b) (c) 4. X 30-34 35-39 2 40-44 Find the mean of the distribution directly (and using assumed mean) Find the median of the distribution Find the mode of the distribution 30​

75

step-by-step explanation:

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places