Answer:
-16/65
Step-by-step explanation:
Given sinα = 3/5 in quadrant 1;
Since sinα = opp/hyp
opp = 3
hyp = 5
adj^2 = hyp^2 - opp^2
adj^2 = 5^2 = 3^2
adj^2 = 25-9
adj^2 = 16
adj = 4
Since all the trig identity are positive in Quadrant 1, hence;
cosα = adj/hyp = 4/5
Similarly, if tanβ = 5/12 in Quadrant III,
According to trig identity
tan theta = opp/adj
opp = 5
adj = 12
hyp^2 = opp^2+adj^2
hyp^2 = 5^2+12^2
hyp^2 = 25+144
hyp^2 = 169
hyp = 13
Since only tan is positive in Quadrant III, then;
sinβ = -5/13
cosβ = -12/13
Get the required expression;
sin(α - β) = sinαcosβ - cosαsinβ
Substitute the given values
sin(α - β) = 3/5(-12/13) - 4/5(-5/13)
sin(α - β)= -36/65 + 20/65
sin(α - β) = -16/65
Hence the value of sin(α - β) is -16/65
Answer:the probability that a pensioner catches a flu is 0.3 or 
Step-by-step explanation:
<u>Data:</u>
a) Pensioners who have had a flu jab = 
b) Pensioners who did not had a flu jab = 1 -
= 
For the first pair of arrows: a is the probability of the upper arrow and b is the probability of the lower arrow.
<em>If pensioner have had a flu jab, the probability of catching flu is
</em>
Data:
c) Catching flu = 
d) Not catching flu = 1 -
= 
The second pair of arrows on the top: Top arrow is c and bottom arrow is d
<em>If pensioner did not have a flu jab, the probability of catching flu is
</em>
<u>Data:</u>
e) Catching flu = 
f) Not catching flu = 1 -
= 
The second pair of arrows on the bottom: Top arrow is e and bottom arrow is f.
Q) Probability pensioner catches a flu
P(catches the flu given that he had the flu jab) + P(catches the flu given that he did not have the flu jab)
(
x
) + (
x
)
= 0.02 + 0.28
= 0.3
Therefore, the probability that a pensioner catches a flu is 0.3 or 
Keyword: Probability
Learn more about probability at
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5 100ml cups and 1 500 ml cup
and 2 500 ml cups
Dawson's annual premium will be $2,462.40. This can be found by going across from "Male 40-44" over to "20-year coverage" which is $13.68. Since $13.68 is per $1000 of coverage, you would multiply it by 180 to get $2,462.40.
Rachel's checks I believe would have a deduction of $63.14.
Answer:
Idg
Step-by-step explanation:
Please Explain in the comments