27/4
4*6=24
27-24=3
remainder is 3
Answer:
1/6
1/12
1/2
Step-by-step explanation:
There are three possible outcomes in the left spinner, and four possible outcomes in the right spinner. So there are a total of 3×4=12 possible combinations. We can show that by making a grid:
![\left[\begin{array}{cccc}&R&B&G\\R&RR&BR&GR\\B&BR&BB&BG\\P&PR&BP&GP\\Y&RY&BY&GY\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D%26R%26B%26G%5C%5CR%26RR%26BR%26GR%5C%5CB%26BR%26BB%26BG%5C%5CP%26PR%26BP%26GP%5C%5CY%26RY%26BY%26GY%5Cend%7Barray%7D%5Cright%5D)
Of these 12 combinations, 2 show both spinners landing on the same color (RR and BB). So the probability is 2/12 = 1/6.
There is only 1 outcome in which the first spinner lands on R <em>and</em> the second spinner lands on P (PR), so the probability is 1/12.
There are 6 outcomes in which the first spinner lands on R <em>or</em> the second spinner lands on P (RR, BR, PR, RY, BP, GP). So the probability is 6/12 = 1/2.
Answer:
1.2
Step-by-step explanation:
Given that X is Normally distributed random variable with an unknown mean μ and known standard deviation 6
Hence we can say for a sample of size 100, the sample mean will have a std deviation of = 
Since population std deviation is known we can use Z critical value for finding out the confidence interval
For 95% using (68-95-99.7 rules) we have z critical value =2
Hence margin of error =2(std error) = 1.2
Confidence interval 95%
Lower bound = Mean - margin of error = Mean -1.2
UPper bound = Mean +1.2
Hence , 95% of all of these values of x should lie within a distance of __1.2___ from μ .
Answer:
Step-by-step explanation:
11
Answer: 100
500 Is 100%
500 ÷ 100 = 5
5 Is 1%
5 x 20 = 100
100 Is 20%