The model is 3 inches, since 3 times 3 is 9 and 1 times 3 is 3.
Answer:
_
66,6% = ⅔
_
33,3% = ⅓
85% = 17⁄20
80% = ⅘
75% = ¾
90% = 9⁄10
20% = ⅕
10% = ⅒
Step-by-step explanation:
To convert from a fraction to a percentage, divide both the denominator and numerator to get a decimal point, then move the decimal point twice to the right, then attach the percentage symbol:
⅒ = 0,1 = 10%
⤻⤻
⅕ = 0,2 = 20%
⤻⤻
9⁄10 = 0,9 = 90%
⤻⤻
¾ = 0,75 = 75%
⤻⤻
⅘ = 0,8 = 80%
⤻⤻
17⁄20 = 0,85 = 85%
⤻⤻
_ _
⅓ = 0,3 = 33,3%
⤻⤻
_ _
⅔ = 0,6 = 66,6
All those bars above those digits are what are known as bar notation, indicating that digits repeat.
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Part (a)
P(A) = 0.5
P(B) = 0.4
P(B/A) = 0.6
P(A and B) = P(A)*P(B/A)
P(A and B) = 0.5*0.6
P(A and B) = 0.3
<h3>Answer: 0.3</h3>
==========================================
Part (b)
We'll use the result from part (a)
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 0.5 + 0.4 - 0.3
P(A or B) = 0.6
<h3>Answer: 0.6</h3>
===========================================
Part (c)
A and B are not independent since P(B) does not equal P(B/A). The fact that event A happens changes the probability P(B). Recall that P(B/A) means "probability P(B) based on event A already happened". A and B are independent if P(B) = P(B/A).
Events A and B are not mutually exclusive since P(A or B) is not zero.
<h3>Answer: Neither</h3>
Cos(A-B) = cosAcosB + sinAsinB
<span>
cos(</span>π/2 - θ) = cos(π/2)cosθ + sin(π/2)sinθ
π/2 = 90°
cos(π/2) = cos90° = 0. sin(π/2) = sin90° = 1
cos(π/2 - θ) = cos(π/2)cosθ + sin(π/2)sin<span>θ
</span>
= 0*cosθ + 1*sin<span>θ = </span>sin<span>θ
Therefore </span>cos(π/2 - θ) = sin<span>θ
QED </span>
Answer:ksksksk
Step-by-step explanation:ggg
