What is 2 log Subscript 5 Baseline (5 x cubed) + one-third log Subscript 5 Baseline (x squared + 6) written as a single logarithm?

Step-by-step explanation:

Given the following expression:

You need to remember the following properties for Logarithms:

And the following property for Radicals:

According to the Power of a power property:

Then, you can follow these steps:

Step 1: Apply the third property for logarithms shown above:

Step 2: Apply the Power of a power property:

 Step 3: Using the property for Radicals shown before:

Step 4: Now you must apply the first property for logarithms:

 23.89%

Step-by-step explanation:

The empirical rule says that the 95% of the data falls in between two standard deviations of the mean.

Given : GMAT scores are normally distributed and the the average score is approximately .

Also, 95% of his classmates scored between 400 and 680.

Then, by empirical rule , 95% of data falls in between

i.e.    (1)

      (2)

Subtracting (1) from (2), we get

Let x be the random variable to represent the scores of every student.

Statistic z-score :

For x= 490, we have

The p-value =

Hence, 23.89% of his classmates who scored lower than he did .