Astudent takes a multiple choice test. each question has n answers. if the student knows the answer to a question, the student gives the right answer, and otherwise guesses uniformly and at random. the student knows the answer to 70% of the questions. write k for the event a student knows the answer to a question and r for the event the student answers the question correctly. a) what is p(k)? b) what is p(rik)? c) what is p(kr), as a function of n? d) what values of n will ensure that p(k|r) > 99%?

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation:

b

step-by-step explanation: