Answer:
f'(x) = (x + 1)/15
Step-by-step explanation:
f(x) = 15x -1,
Think of the term "f(x)" as a single variable, then solve for the term "x", manipulate the equation like how one would manipulate a literal equation, by inverse operations.
f(x) = 15x - 1
+1 +1
f(x) + 1 = 15x
/15 /15
(f(x) + 1)/15 = x
This means that (denote in the way one would denote an inverse of a function);
f'(x) = (x + 1)/15
Answer:
The 95% confidence interval for the true average number of homes that a person owns in his or her lifetime is (4,6.2).
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom,which is the sample size subtracted by 1. So
df = 50 - 1 = 49
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 49 degrees of freedom(y-axis) and a confidence level of 
. So we have T = 2.0096
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 5.1 - 1.1 = 4
The upper end of the interval is the sample mean added to M. So it is 5.1 + 1.1 = 6.2.
The 95% confidence interval for the true average number of homes that a person owns in his or her lifetime is (4,6.2).
Answer:
C. DE=52
Step-by-step explanation:
Because the triangle is equilateral (all sides being equal), the half of each side is equal to the sides of the smaller triangle. Since BC=26, DE would be double.
The graph represented in the figure shows a set of linear equations each of which is represented a straight line.
Step-by-step explanation:
System of Equation can be referred to as an assortment of equations to be dealt with. Common examples include linear equations and non-linear equations such as a parabola, hyperbola etc.
Linear set of equations are the most simple of equation depicting a linear relationship between two variables.
E.g. Y=4x+3
here y and x share a linear relationship which is defined by the straight-line graph "4x+3"
Similarly in the graph lines, two straight lines are depicted which symbolises that the et of the equation is linear in character.
