Answer:
50 times.
Step-by-step explanation:
When the 2 number cubes are rolled once:
The possible outcomes for a total of 7 are:
1 and 6
6 and 1
2 and 5
5 and 2
3 and 4
4 and 3
= 6 outcomes.
The total of all possible outcomes = 6 * 6 = 36.
So Prob( total of 7 in one throw of teh 2 cubes) = 6/36 = 1/6.
For 300 throws you would expect the total of 7 to occur
1/6 * 300 = 50.
The ratio would be 1:4, I would start with dividing each number by 2 then working from there. With diving by two you would end up with 3:12 which you then can divide by 3 since 12 is divisible by 3. This would get you 1:4.
Answer:
Prime.
Step-by-step explanation:
A^2+4a+12
Not factorable.
Answer:
Regression function: 
The function predicts that population will reach 14,000 in year 2068.
Step-by-step explanation:
We have to determine a function
by applying linear regression. The data we have is 5 pair of points which relates population to year.
According to the simple regression model (one independent variable), if we minimize the error between the model (the linear function) and the points given, the parameters are:
We start calculating the average of x and y

The sample covariance can be calculated as

The variance of x can be calculated as

Now we can calculate the parameters of the regression model

The function then become:

With this linear equation we can predict when the population will reach 14,000:
