Shelly guesses on 5 multiple choice test questions in a row. if each question has 3 possible answers, what is the probability that shelly will guess the 6th question correctly?

1/3

Step-by-step explanation:

This question is an application of binomial distribution model. If we consider each question as an independent trial, then for each trial there are two possible outcomes, success or failure. Success in the sense that she guesses the question correctly, and failure if the guess is wrong. Now, for each trial or question the probability of success is;

1/3

This is because each question has 3 possible answers and only 1 of them is correct.

Now if Shelly guesses on 5 multiple choice test questions in a row, the probability that she will guess the 6th question correctly is still 1/3. This is because the questions represent independent trials and the probability of success is constant in each trial just like in tossing a coin.

Step-by-step explanation:

The probability isn't affected by what she guesses on the previous questions.

So basically the question is "what is the probability that Shelly will answer correctly on any one question?"

There are 3 answer choices and 1 is correct, so the probability of getting a correct answer is 1 out of 3, or, 1/3.

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

definitely a. the others have almost all data points on one side of the line.

step-by-step explanation: