Unit rate is in the quantity of one.
2/1 is a unit rate
6/3 is a rate
4/1 is a unit rate
Csc a - sin a = cos a cot a
1/sin a - sin a = cos a (cos a / sin a)
(1 - sin^2 a)/sin a = cos^2 a/sin a
cos^2 a/sin a = cos^2 a/sin a
Therefore, the given equation is an identity.
Answer:
0.0045248 ;
0.1312218 ;
0.0001809 ;
0.1659729
Step-by-step explanation:
Number of Kings in deck = 4
Total number of cards in deck = 52
Picking without replacement :
A = King on first draw :
P(A) = 4 / 52
A = King on 2nd draw :
P(B) = 3 / 51
A = King on 3rd draw :
P(C) = 2 / 50
1.) P(A n B) = P(A) * P(B)
P(A n B) = 4/52 * 3/51 = 12 / 2652 = 0.0045248
2.) P(A u B) = P(A) + P(B) - P(AnB)
P(AuB) = 4/52 + 3/51 - 0.0045248 = 0.1312218
3.) P(A ∩ B ∩ C) = P(A) * P(B) * P(C)
P(A ∩ B ∩ C) = 4/52 * 3/51 * 2/50 = 0.0001809
4.) P(A U B U C) =
P(A) + P(B) + P(C) - P(AnB) - P(AnC) - P(BnC) - P(AnBnC)
P(AnC) = P(A) * P(C) = 4/52 * 2/50 = 0.0030769
P(BnC) = P(B) * P(C) = 3/51 * 2/50 = 0.0023529
4/52 + 3/51 + 2/50 - 0.0045248 - 0.0030769 - 0.0023529 + 0.0001809 = 0.1659729
The table of the number of customers illustrates two different patterns
Deli should expect 90 customers to serve during week 8
<h3>How to determine the number of customers</h3>
From the table, the even number of week increases by 10, while the odd number of weeks reduces by 5.
At week 6, the number of customers is 80.
So, the number of customers at week 8 is:
Week 8 = Week 6 + 10
This gives
Week 8 = 80 + 10
Week 8 = 90
Hence, deli should expect 90 customers to serve during week 8
Read more about sequence and patterns at:
brainly.com/question/15590116
Answer:
1/6
Step-by-step explanation:
Well perpendicular lines are reciprocals of each other,
meaning if like k has a slope of -6 then line n will have a slope of positive 1/6.
<em>Thus,</em>
<em>line n has a slope of 1/6.</em>
<em />
<em>Hope this helps:)</em>
