Using it's concept, it is found that there is a 0.2426 = 24.26% probability that the person selected is between 26 and 35.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
Researching this problem on the internet, it is found that there is a table containing 1113 people, and out of 1113 people, 270 are between 26 and 35, hence the probability is given by:
p = 270/1113 = 0.2426.
More can be learned about probabilities at brainly.com/question/14398287
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Answer:
x = 20
y = 28
Step-by-step explanation:
hari's age: x
harry's age: y
7x = 5y
4(x+4) = 3(y+4)
4x+16 = 3y+12
4x+4 = 3y
5/3(4x+4) = 5y = 7x
20/3x +20/3 = 7x
20/3 = 1/3x
x = 20
y = 28
Answer:
$488
Step-by-step explanation:
16×20=320
8%×2100
0.08×2100
168
320+168=$ 488
Answer:
Step-by-step explanation:
As the angles are supplementary, they sum up to 180
Hence, 3x+40+80=180
3x+120=180
3x=60
x=20
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
