The correct question is
Use the given information to find the exact value of the expression. sin α = 21/29, α lies in quadrant II, and cos β = 15/17, β lies in quadrant I Find sin (α - β).
we know that
sin(α − β<span>) = </span>sin α cos β − cos α sin β
α lies in quadrant II
so
cos α is negative
sin α is positive
β lies in quadrant I
so
cos β is positive
sin β is positive
step 1
find sin β
cos β=15/17
sin² β+cos² β=1-----------> sin² β=1-cos² β----> sin² β=1-(15/17)²
sin² β=1-225/289-----> 64/289
sin β=8/17
step 2
find cos α
sin α = 21/29
cos² α + sin² α=1----> cos² α=1-sin² α---> cos² α=1-(21/29)²---> 1-441/841
cos² α=400/841------> cos α=-20/29 (remember cos α is negative)
step 3
find sin(α − β)
sin α = 21/29 cos α=-20/29
sin β=8/17 cos β=15/17
sin(α − β) = [21/29]*[15/17] − [-20/29*]*[8/17]
sin(α − β) = [315/493] − [-160/493]
sin(α − β) = 475/493
the answer is
sin(α − β) = 475/493
Answer:
The sampling technique used is convenience sampling.
Step-by-step explanation:
Convenience sampling technique is a method of non-probability sampling that is done using the most easiest sample or the most convenient sample.
For instance, sampling the people of our neighborhood, or school or company, etc.
This type of sampling is known as non-probability sampling because each individual\participant does not have a specific probability of selection. Whereas in case of probability sampling each participant has an equal probability of being selected.
Survey that are conducted through online portals or online survey use samples that are quite easy to collect. The sample collected through online surveys is convenience sample.
The survey conducted to determine how many people were in favor of stricter gun control uses a convenience sampling technique. As it uses the most easy source to collect the sample.
Thus, the sampling technique used is convenience sampling.
9:15=0.6=60%
First you divide 9 by 15 to find a decimal. You should get 0.6. Then you multiply 0.6 by 100 to get a percent. You should get 60 as the product of 0.6 and 100.
The $1.25 one for 9 Oz box of rice would be the best buy.
<h3>How to find the Unit Price?</h3>
To get the best buy among the given items and prices, we need to find the unit price. Thus, the formula is;
Unit price = Price/Quantity
A) Unit Price = 0.90/6 = 0.15
B) Unit Price = 1.93/12 = 0.15083
C) Unit price = 2.42/16
Unit Price = 0.15125
D) Unit Price = 1.25/9 = 0.138
The $1.25 one for 9 Oz box of rice would be the best buy.
Read more about Unit price at; brainly.com/question/2804909
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