sides of right angle triangle follows Pythagoras theroem
which states
a^2 +b^2 = c^2
where a , b and c are sides of right angle triangle.
here none of options do not follow this.
so answer is option D
Answer would definitely be A
Notation
The inverse of the function f is denoted by f -1 (if your browser doesn't support superscripts, that is looks like f with an exponent of -1) and is pronounced "f inverse". Although the inverse of a function looks like you're raising the function to the -1 power, it isn't. The inverse of a function does not mean the reciprocal of a function.
Inverses
A function normally tells you what y is if you know what x is. The inverse of a function will tell you what x had to be to get that value of y.
A function f -1 is the inverse of f if
<span><span>for every x in the domain of f, f<span> -1</span>[f(x)] = x, and</span><span>for every x in the domain of f<span> -1</span>, f[f<span> -1</span>(x)] = x</span></span>
The domain of f is the range of f -1 and the range of f is the domain of f<span> -1</span>.
Graph of the Inverse Function
The inverse of a function differs from the function in that all the x-coordinates and y-coordinates have been switched. That is, if (4,6) is a point on the graph of the function, then (6,4) is a point on the graph of the inverse function.
Points on the identity function (y=x) will remain on the identity function when switched. All other points will have their coordinates switched and move locations.
The graph of a function and its inverse are mirror images of each other. They are reflected about the identity function y=x.
Answer:
The objective of the confidence interval is to give a range in which the real mean of the population is placed, with a degree of confidence given by the level of significance.
The conclusion we can make is that there is 95% of probability that the mean of the population (professor's average salary) is within $99,881 and $171,172.
Step-by-step explanation:
This is a case in which, from a sample os size n=16, a confidence interval is constructed.
The objective of the confidence interval is to give a range in which the real mean of the population is placed, with a degree of confidence given by the level of significance. In this case, the probability that the real mean is within the interval is 95%.
Answer:
x = 3.8
Step-by-step explanation:
The equation is (5 - x) / 2 = 2x - 7
Multiply both sides by 2:
5 - x = 4x - 14
Add 14 to both sides:
19 - x = 4x
Add x to both sides:
19 = 5x
Divide both sides by 5 to isolate x:
3.8 = x
Therefore, x = 3.8.
