Definition
An irrational number is a number that cannot be expressed in as a fraction. It has decimal expression that does not terminate.
An example will be √2.
Reason:
(1) √2 cannot be expressed as a fraction form
(2) √2 has decimals that does not terminate
For a known standard deviation, the confidence interval for sample size = n is
![(x-z \frac{ \sigma }{ \sqrt{n}},x+x \frac{ \sigma }{ \sqrt{n} } )](https://tex.z-dn.net/?f=%28x-z%20%5Cfrac%7B%20%5Csigma%20%7D%7B%20%5Csqrt%7Bn%7D%7D%2Cx%2Bx%20%5Cfrac%7B%20%5Csigma%20%7D%7B%20%5Csqrt%7Bn%7D%20%7D%20%20%29)
where
x = average
n = sample size
![\sigma](https://tex.z-dn.net/?f=%20%5Csigma%20)
= stad. deviation
z = contant that reflects confidence interval
Let a = x
Let b =
![z \frac{ \sigma }{ \sqrt{n} }](https://tex.z-dn.net/?f=z%20%5Cfrac%7B%20%5Csigma%20%7D%7B%20%5Csqrt%7Bn%7D%20%7D%20)
From the given information,
a - b = 0.432 (1)
a + b = 0.52 (2)
Add (1) and (2): 2a = 0.952 => a = 0.476
Subtract (2) from (1): -2b = -0.088 => b = 0.044
Therefore, the confidence interval may be written as
(0.476 - 0.044, 0.476 + 0.044), or as
(0.476
![\pm](https://tex.z-dn.net/?f=%20%5Cpm%20)
0.044)
Answer:
13 will the answer of this qn
Answer:
12 units
Step-by-step explanation:
The formula for the volume of a cone is given as:
πr²h/3
The volume = 100π cubic units
Diameter = 10 units.
Radius = Diameter/2
= 10 units/2 = 5 units
Hence:
Formula to find the height of a cone
h = 3V/πr²
We substitute
h = 3 × 100π/π × 5²
h = 300π/25π
h = 12 units
The height = 12 units
Answer:
Take the coordinates of each vertex (corner point) and subtract 2 from the x-coordinate; leave the y-coordinate alone.
Step-by-step explanation:
Example: If one vertex is the point (5, 3), then it moves left 2 units to (3, 3).
If a vertex is at (-3, 1), then it moves 2 units left to (-5, 1).