Answer:
Provided that the sample size, n, is sufficiently large (greater than 30), the distribution of sample means selected from a population will have a normal distribution, according to the Central Limit Theorem.
Explanation:
1. As n increases, the sample mean approaches the population mean
(The Law of Large numbers)
2. The standard error of the sample is
σ/√n
where σ = population standard deviation.
As n increases, the standard error decreases, which means that the error
between the sample and population means decreases.
Answer:
The area of the figure is 28 units².
Step-by-step explanation:
Find the area of the full rectangle, ignoring the triangle.

Then, find the area of the triangle:

Finally, subtract:

In terms of its radius
, the volume of the balloon is

The diameter
is twice the radius, so that in terms of its diameters, the balloon's volume is given by

Differentiate both sides with respect to time
:

The diameter increases at a rate of
. When the diameter is
, we have

or about 23,562 cc/min (where cc = cubic centimeters)
Corresponding angles are in the same relative position of an intersection.
The matching corner to VQR would be ZRT
Answer:
x = 5
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of squares on the other 2 sides, that is
x² + 12² = 13²
x² + 144 = 169 ( subtract 144 from both sides )
x² = 25 ( take the square root of both sides )
x =
= 5