Answer:
Step-by-step explanation:
The parent function here is y = log x, where 10 is the base.
The derivative of y = log x is dy/dx = (ln x) / ln 10.
The derivative of y = log (ax+b) is found in that manner, but additional steps are necessary: differentiate the argument ax + b:
The derivative with respect to 10 of log (ax + b) is:
dy/dx = [ 1 / (ax + b) ] / [ ln 10 ] *a, where a is the derivative of (ax + b).
Alternatively, we could express the answer as
dy/dx = [ a / (ax + b) ] / [ ln 10 ]
Answer:
0.8%
Step-by-step explanation:
Because they are two independent events, the final probability is the product of the probability of each event.
First event:
The complement of a student being male is that he is female.
Therefore, if 60% is male, the remaining 100% is 40%, meaning that 40% of the students are female.
Second event:
If she's taller than 5'4", we're told she has a 2% chance of being a woman.
Therefore the final probability is:
0.4*0.02 = 0.008
That is, the probability that it is female and that it is over 1.6 meters tall is 0.8%.
Answer:
Step-by-step explanation:
1. Subtraction
2.multiplication
To determine the maximum and minimum temperatures at which nitrogen remains a liquid, use the equation |x - (-333.32)| = 12.78, where x is equal to the maximum and minimum temperatures. Using this equation, the maximum temperature is -320.54 degrees Fahrenheit while the minimum is -346.10 degrees Fahrenheit.
