Answer:
SE = 0.025
Step-by-step explanation:
We are given;
Sample mean; x¯ = 14.52
Sample standard deviation; s = 0.075
Sample size; n = 9
Now,formula for standard error of sample mean is;
SE = s/√n
SE = 0.075/√9
SE = 0.075/3
SE = 0.025
Answer: Second option.
Step-by-step explanation:
As you can observe in the picture given in the exercise, there are two Right triangles formed inside the rectangle: CDA and ABC.
You need to use the Pythagorean Theorem to solve this exercise. This is:

Where "a" is the hypotenuse and "b" and "c" are the legs of the Right triangle.
If you solve for one of the legs, you get the following equation:

In this case, you can identify in the figure that:

Finally, you must substitute these known values into the equation
and then evaluate in order to find the value of "x". You get that this is:

1/3 is the coefficient. It's the number that is being multiplied with the variable.
To find the circumference of a circle, simply multiply the diameter by pi.
The answer (depending on how you teacher wants it) is either
8.4
or 26.39.
You teacher most likely wants to see
26.39 as the diameter
The area can be found by squaring the radius and multiplying it by pi.
The radius is 4.2, so...

The area is 55.39