[need an answer now] hannah spins a spinner once and then randomly selects a marble from a bag. a representation of the spinner and the bag of marbles is shown below.
she determines that the probability of spinning a multiple of 3 and randomly selecting a blue (b) marble is 2/15. which best describes the accuracy of hannah’s answer?
hannah’s answer is accurate.
hannah’s answer is inaccurate. she may have correctly determined the probability of spinning a multiple of 3, but she considered the probability of randomly selecting a blue marble as 1/4 instead of 4/10.
hannah’s answer is inaccurate. she may have correctly determined the probability of randomly selecting a blue marble, but she considered the probability of spinning a multiple of 3 as 1/6 instead of 2/6.
hannah’s answer is inaccurate. the number of possible outcomes for the events is 60, not 15.

Hannah's answer is accurate                

Step-by-step explanation:

Hannah determines that the probability of spinning a multiple of 3 and randomly selecting a blue (B) marble is 2/15.

Referring the given figure.

Total no. of balls = 10

No. of blue balls = 4

So, probability of getting blue ball =

                                                         =

                                                         =

Now there are 6 numbers on spinner { 1,2,3,4,5,6}

Out of these 6 numbers, 2 numbers are multiples of 3 { 3,6}

So, probability of getting multiple of 3 on spinner =

                                                                                  =    

Thus the probability of spinning a multiple of 3 and randomly selecting a blue (B) marble :

=  

=  

Thus Option A is correct .

Hannah's answer is accurate                            

The 95% confidence interval for the mean is between 14.88 hours to 15.12 hours.

Step-by-step explanation:

We have been given:

Sample size or n = 1000

Sample mean = 15 hours

Population standard deviation or s = 2 hours

We will use z distribution to find the confidence interval about the mean.

z value for 95% confidence interval is 1.96.

So, the interval is :

and

Solving this we get, 14.88 and 15.12

So, the 95% confidence interval for the mean is between 14.88 hours to 15.12 hours.