What is the simplified base for the function f(x) = 2(3√27(2x)?
2
3
9
18

option C is correct i.e. 9

Step-by-step explanation:

We have given that :

To find : The simplified base of the function f(x)  

Solution:

Now, we solve the equation  

Therefore, the  simplified base of the function f(x) is 9

Option C is correct

9 the simplified base for the given function f(x)

Step-by-step explanation:

Using exponent rules:

Given the function:

We can write 27 as:

then;

Apply the exponent rules:

Apply the exponent rules:

⇒

⇒

On comparing with exponential function where, b is base of the exponent function, then

b = 9

Therefore, the simplified base for the given function is, 9

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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