Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra i</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>

<u>Step 2: Solve for </u><em><u>x</u></em>
- [Equality Property] Square root both sides:

Answer:
the probability the person's reaction time will be between 0.9 and 1.1 seconds is 0.0378
Step-by-step explanation:
Given the data in the question;
the cumulative distribution function F(x) =
;
probability the person's reaction time will be between 0.9 and 1.1 seconds
P( 0.9 < x < 1.1 ) = P( x ≤ 1.1 ) - P( x ≤ 0.9 )
P( 0.9 < x < 1.1 ) = F(1.1) - F(0.9)
= [
] - [
]
we substitute
= [
] - [
]
= [
] - [
]
= [
] - [
]
= [ 1 - 0.1079796998 ] - [ 1 - 0.1457938 ]
= 0.8920203 - 0.8542062
= 0.0378
Therefore, the probability the person's reaction time will be between 0.9 and 1.1 seconds is 0.0378
Answer:
Monica has 3 more pieces of gold than silver after she cut all her wire
Step-by-step explanation:
Total length of gold wire Monica has= 7.68 meters
Length of each piece Monica wants to cut the wire into = 0.96 meters
Total number of pieces she can cut =
= 8 pieces of gold wire
Total length of gold wire Monica has = 7.45 meters
Length of each piece Monica wants to cut the wire into = 1.49 meters
Total number of pieces she can cut =
=5 pieces silver wire
Gold wire pieces= 8
Silver wire pieces= 5
Difference in the number of pieces = 
Monica has 3 more pieces of gold than silver after she cut all her wire