Answer: N(20, 4) distribution.
Step-by-step explanation:
Normal approximation to Binomial :
The normal approximation is used for binomial distribution having parameters n and p as

if x is the random variable then x has
.
Given : As part of a promotion for a new type of cracker, free trial samples are offered to shoppers in a local supermarket.
The probability that a shopper will buy a packet of crackers after tasting the free sample : p=0.20.
Different shoppers can be regarded as independent trials.
if X is the number among the next 100 shoppers who buy a packet of crackers after tasting a free sample.
Then, Mean and standard deviation for x will be :

i.e. X has approximately an N(20, 4) distribution.
80/15 simplfies to 5.33 repeating in decimal form.
The eight pound bag of dog food is better.
Answer:
Angle ABE = 58
Step-by-step explanation:
This would fulfill the AAA theorem, or 3 angles needing to be congruent. We got 58 by subtracting 89 and 62 from 180, then multiplying that answer by 2 (because it occupies both triangles).
Hello!
x² - 4x + 6 = 9 <=>
<=> x² - 4x + 6 - 9 = 0 <=>
<=> x² - 4x - 3 = 0 <=>
<=> x = -(-4)±√(-4)²-4×1×(-3)/2×1 <=>
<=> x = 4±√16+12/2 <=>
<=> x = 4±√28/2 <=>
<=> x = 4±2√7/2 =>
=> x = 4+2√7/2 and x = 4-2√7/2 =>
=> x = 2+√7 and x = 2-√7
The equation has two solutions.
Good luck! :)