Answer:
C. 5 weeks.
Step-by-step explanation:
In this question we have a random variable that is equal to the sum of two normal-distributed random variables.
If we have two random variables X and Y, both normally distributed, the sum will have this properties:
To calculate the expected weeks that the donation exceeds $120, first we can calculate the probability of S>120:
The expected weeks can be calculated as the product of the number of weeks in the year (52) and this probability:
The nearest answer is C. 5 weeks.
If 10% of songs represents 6 songs,
then 100% of songs represents (100 * 6) / 10 = 60 songs
The playlist has a total of 60 songs.
Given:
The inequality is
To find:
The solution of the given inequality.
Solution:
We have,
Isolate the variables terms on the left side.
Divide both sides by -5 and change the inequality sign as we divide the equality by a negative value.
Therefore, the correct option is D.
Answer:
x = 8
Step-by-step explanation:
f(x) = 
g(x) = 
(f o g)(x) = f[g(x)]
= 
This function is defined for (x + 3) > 0
(x + 3) - 3 > 0 - 3
x > -3
From the given options x = 8 is the only solution which is greater than -3.
Therefore, x - 8 is in the domain of the given function.
