2. A university administrator expects that 30% of students in a core course will receive an A. He looks at the grades assigned to 100 students. The probability that the proportion of students that receive an A is 0.25 or less is .

The probability that the proportion of students that receive an A is 0.25 or less is = 0.1379

Step-by-step explanation:

Given -

A university administrator expects that 30% of students in a core course will receive an A.

Sampling distribution of sample proportion = p  = 30% = 0.30

Sample size ( n ) = 100

Standard deviation of sample proportion  = = = .0458

The probability that the proportion of students that receive an A is 0.25 or less is =  

           =        Putting

           =       Using Z table

          = 0.1379

35-60 students are taking math.

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: