True or false? in exercise, determine whether the statement is true or false given that f(x) = in x. if it is false, explain why or given an example that shows it is false.
f(ax) = f(a) + f(x),a > 0,x > 0

True

Step-by-step explanation:

This is true for a>0 and x>0. We can prove it by plugging in a and x for f(x) = ln(x)

f(ax) = ln(ax) = ln(a) + ln(x)

We see that ln(a) + ln(x) is exactly f(a) + f(x)

Therefore, the statement above is true for any a>0 and x>0

an advantage of the standard deviation is that it increases as the dispersion of the data increases. e. the interquartile range is preferred when the data are not skewed or no have outliers. an advantage of the standard deviation is that it uses all the observations in its computation.

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation: