Answer:
24
Step-by-step explanation:
Based on the logarithmic expressions given
, we need to identify the value of 
By substituting x = a³, y = a⁷, and z = a⁻² into the logarithmic function
, we will derive;

Therefore, the result of the logarithmic expression is 24
Answer:
Step-by-step explanation:
The probability distribution for the random variable X is provided.
X 4 5 6 7 Total
P 0.2 0.4 0.3 0.1 1
x*p 0.8 2 1.8 0.7 5.3
x^2*p 3.2 10 10.8 4.9 28.9
a) The expected value E(X), representing the mean of X, equates to 5.3.

Standard deviation is the square root of the variance, which amounts to 0.9.
------------------------------------
b) For the mean of the sample, we find:
Mean = 5.3
Variance = var(x)/n = 
c) 
Among the options provided, the statement that holds true is the third one: "Nina makes 20x dollars each week at the clothing store." The information given explicitly mentions that x denotes the total hours she has worked within a week. This assertion renders the other statements incorrect.