Let's say you want to compute the probability

where

converges in distribution to

, and

follows a normal distribution. The normal approximation (without the continuity correction) basically involves choosing

such that its mean and variance are the same as those for

.
Example: If

is binomially distributed with

and

, then

has mean

and variance

. So you can approximate a probability in terms of

with a probability in terms of

:

where

follows the standard normal distribution.
Answer:
y=10x+99
Step-by-step explanation:
Find the negative reciprocal of the slope of the original line and use the point-slope formula y−y1=m(x−x1) to find the line perpendicular to x+10y=60.
Answer:
b =21
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
20^2 + b^2 = 29^1
400 + b^2 =841
Subtract 400 from each side
b^2 = 441
Take the square root of each side
sqrt(b^2) = sqrt(441)
b =21
Use the least common denominator (LCD) to write these fractions as equivalent fractions with like denominators, and then compare them two at a time
Answer:
It lies between 5 and 6
Step-by-step explanation:
Two consecutive numbers are numbers that come after each other:
x , x + 1 are consecutive numbers.
3 \sqrt{3} = 3√3 = 5.19615242271
Therefore, from the above calculation, we can see that square root of 3 is a number that is between consecutive numbers 5 and 6