Answer
Find out the value of g(3) by using the function g(x) = x² + 2 given in the question .
To proof
The function given in the question is
g(x) = x² + 2
Take x = 3
put x = 3 in the g(x) = x² + 2
than it becomes
g(3) = 3² + 2
solving the above
we get
g(3) = 9 + 2
g(3) = 11
Thus g(3) = 11 and option (c) is correct .
Hence proved
Answer:
Interpreting as: (k)=0.
Step-by-step explanation:
The graph shows 3 points in the form (x, y).
Point 1 = (0, 8)
Point 2 = (5, 4)
Point 3 = (9, 0)
We are also given P = 3x + 2y.
Which value for x and y given in the points provides the greatest number for P?
P = 3(0) + 2(8)
P = 16
P = 3(5) + 2(4)
P = 23
P = 3(9) + 2(0).
P = 27
The point (9, 0) yields the biggest number for P.
The values of x and y that maximize the function P are x = 9 and y = 0.
We have a sample of 28 data points. The sample mean is 30.0 and the sample standard deviation is 2.40. The confidence level required is 98%. Then, we calculate α by:
The confidence interval for the population mean, given the sample mean μ and the sample standard deviation σ, can be calculated as:
Where n is the sample size, and Z is the z-score for 1 - α/2. Using the known values:
Where (from tables):
Finally, the interval at 98% confidence level is: