the diagram below shows a fair spinner with 6 equally sized sections .mike did an experiment and carried out n spins , the spinner landed on the number 5 a total of 37 times .estimate the value of n?
assuming P(5) = 1/6,
n/6 = 37
To estimate the value of n, we can use the ratio of the number of times the spinner landed on 5 to the total number of sections on the spinner.
In this case, the spinner has 6 equally sized sections, and the number 5 occurred 37 times. Therefore, we can set up the following proportion:
5/6 = 37/n
To find the value of n, we can solve this proportion using cross multiplication:
5n = 6 * 37
Now, we multiply 6 by 37:
5n = 222
Finally, we solve for n by dividing both sides of the equation by 5:
n = 222/5
Using long division, we find that n is approximately 44.
Therefore, the estimate for the value of n is 44 spins.