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tankabanditka [31]
2 years ago
15

Statistics

Mathematics
1 answer:
Westkost [7]2 years ago
7 0

Answer:

no thank you sorry 4h he'll be a great day of school and I have been a while ago but it's a good time 44

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Angles α and β are angles in standard position such that: α terminates in Quadrant I and sinα = 3/5 β terminates in Quadrant III
Arte-miy333 [17]

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

5 0
3 years ago
How would you solve this?
finlep [7]

Answer:the probability that a pensioner catches a flu is 0.3 or \frac{3}{10}

Step-by-step explanation:

<u>Data:</u>

a) Pensioners who have had a flu jab = \frac{3}{5}

b) Pensioners who did not had a flu jab = 1 - \frac{3}{5} = \frac{2}{5}

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 \frac{1}{30}</em>

Data:

c) Catching flu = \frac{1}{30}

d) Not catching flu = 1 - \frac{1}{30} = \frac{29}{30}

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 \frac{7}{10}</em>

<u>Data:</u>

e) Catching flu = \frac{7}{10}

f) Not catching flu = 1 - \frac{7}{10} = \frac{3}{10}

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)

(\frac{3}{5} x \frac{1}{30}) + (\frac{2}{5} x \frac{7}{10} )

= 0.02 + 0.28

= 0.3

Therefore, the probability that a pensioner catches a flu is 0.3 or \frac{3}{10}

Keyword: Probability

Learn more about probability at

  • brainly.com/question/4021035
  • brainly.com/question/4655616

#LearnwithBrainly

5 0
3 years ago
Writing to Explain Suppose you have a 100-mL cup, you can a 500-mL cup. List two different ways
Misha Larkins [42]
5 100ml cups and 1 500 ml cup


and 2 500 ml cups
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3 years ago
50 POINTS!!!! NEED HELP!!! 2 QUESTIONS!!!! please answer correctly. i begging u
frosja888 [35]
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.
4 0
3 years ago
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Same test, similar question! please help!
soldier1979 [14.2K]

Answer:

Idg

Step-by-step explanation:

Please Explain in the comments

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3 years ago
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