I hope this helps you all !!
Answer:
6+s
Step-by-step explanation:
six more marbles so add 6 to s
Answer:

Step-by-step explanation:
We are given the following in the question:
Sample size, n = 67
Variance = 3.85
We have to find 80% confidence interval for the population variance of the weights.
Degree of freedom = 67 - 1 = 66
Level of significance = 0.2
Chi square critical value for lower tail =

Chi square critical value for upper tail =

80% confidence interval:

Putting values, we get,

Thus, (3.13,4.91) is the required 80% confidence interval for the population variance of the weights.
Given that the initial point of the vector is (1,-2) and the termination point of the vector is (0,0).
So, the tail of the vector is at point (1,-2) and the head of the vector is at (0,0). The vector,
, has been shown in the figure.
The magnitude of the vector:

The direction of a vector is the angle made by a vector with the positive direction of the x-axis.
From the figure, 


Hence, the required vector having a magnitude
and direction
has been shown in the figure.
Answer:
7, -3/4, -3
Step-by-step explanation:
Note that all three of the given functions are linear. We can read the slopes directly from these functions: 7, -3/4, -3. Between any two values of x, the slope is exactly the same in each of these three functions.
Thus,
1) the average rate of change of f(x) = 7x - 4 over the interval [2,4] is 7.
2) the average rate of change of g(x) over the given interval is -3/4.
3) the average rate of change of h(x) over the given interval is -3.