At a certain university, 50% of all entering freshmen planned to major in a stem (science, technology, engineering, mathematics) discipline. a sample of 36 freshmen is selected. what is the probability that the proportion of freshmen in the sample is between 0.477 and 0.580?

0.4402

Step-by-step explanation:

Given : The proportion of  the registered voters in a country are Republican = P=0.50

Sample space = 36

The test statistic for proportion :-

For p= 0.477

For p= 0.58

Now, the probability that the proportion of freshmen in the sample is between 0.477 and 0.58 (by using the standard normal distribution table):-

Hence,  the probability that the proportion of freshmen in the sample is between 0.477 and 0.580 = 0.4402

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

b. x- 48 =120

step-by-step explanation: