Answer:
36
Step-by-step explanation:
Total number of packages = 12
Each package contains 3 pens
SO we can write the equation as follows
3 * 12 = 36
so the total no of pens in a box = 36
Answer:
![\sigma^2 = 3^2 \frac{10-1}{10}= 8.10](https://tex.z-dn.net/?f=%20%5Csigma%5E2%20%3D%203%5E2%20%5Cfrac%7B10-1%7D%7B10%7D%3D%208.10)
Step-by-step explanation:
For this case we have a sample of n =10 and we have the following statistics:
![\bar X = 37.3 , s= 3](https://tex.z-dn.net/?f=%5Cbar%20X%20%3D%2037.3%20%2C%20s%3D%203)
And we want to estimate the population variance. We need to remember that the population variance is given by this formula:
![\sigma^2 =\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}](https://tex.z-dn.net/?f=%5Csigma%5E2%20%3D%5Cfrac%7B%5Csum_%7Bi%3D1%7D%5En%20%28X_i%20-%5Cbar%20X%29%5E2%7D%7Bn%7D)
And the sample variance is given by:
![s^2 =\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}](https://tex.z-dn.net/?f=%20s%5E2%20%3D%5Cfrac%7B%5Csum_%7Bi%3D1%7D%5En%20%28X_i%20-%5Cbar%20X%29%5E2%7D%7Bn-1%7D)
And we can find a formula for the population variance in terms of the sample deviation like this:
![\sigma^2 = s^2 \frac{n-1}{n}](https://tex.z-dn.net/?f=%20%5Csigma%5E2%20%3D%20s%5E2%20%5Cfrac%7Bn-1%7D%7Bn%7D)
And replacing we got:
![\sigma^2 = 3^2 \frac{10-1}{10}= 8.10](https://tex.z-dn.net/?f=%20%5Csigma%5E2%20%3D%203%5E2%20%5Cfrac%7B10-1%7D%7B10%7D%3D%208.10)
Answer:
Pam is 51.
Jan is 48.
Step-by-step explanation:
Pam is 3 years older than Jan so her age is x + 3 where x is Jan's age. When we add Pam's age and Jan's age, the sum equals 99.
So x + x+3 = 99. Solve for x.
2x+3 = 99
2x=96
x= 48
So Jan is 48 years old. This means Pam is 51.
10 because is the total hours was spent walking
A linear function is a straight line. Therefore, the answer is #2.