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TiliK225 [7]
2 years ago
13

What is the sine value of

ac{5 \pi }{3} " alt=" \frac{5 \pi }{3} " align="absmiddle" class="latex-formula"> ?
Mathematics
1 answer:
vovikov84 [41]2 years ago
3 0
Find the value of sin( \frac{5 \pi }{3} )

Rewrite as sin( \frac{6 \pi - \pi }{3} )

sin( \frac{6}{3} \pi -  \frac{ \pi }{3}  )

sin(2 \pi - \frac{ \pi }{3} )

since sin(π/3) = √3/2

and sin(π-α) = -sinα

α is sin(π/3) of course

-sin( \frac{ \pi }{3} )

- \frac{ \sqrt{3} }{2}
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Drupady [299]

Answer:

the answer is #2-62.5%

Step-by-step explanation:

3 0
3 years ago
1- The Canada Urban Transit Association has reported that the average revenue per passenger trip during a given year was $1.55.
serg [7]

Answer:

0.5

0.9545

0.68268

0.4986501

Step-by-step explanation:

The Canada Urban Transit Association has reported that the average revenue per passenger trip during a given year was $1.55. If we assume a normal distribution and a standard deviation of 5 $0.20, what proportion of passenger trips produced a revenue of Source: American Public Transit Association, APTA 2009 Transit Fact Book, p. 35.

a. less than $1.55?

b. between $1.15 and $1.95? c. between $1.35 and $1.75? d. between $0.95 and $1.55?

Given that :

Mean (m) = 1.55

Standard deviation (s) = 0.20

a. less than $1.55?

P(x < 1.55)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.55 - 1.55) / 0.20 = 0

p(Z < 0) = 0.5 ( Z probability calculator)

b. between $1.15 and $1.95?

P(x < 1.15)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.15 - 1.55) / 0.20 = - 2

p(Z < - 2) = 0.02275 ( Z probability calculator)

P(x < 1.95)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.95 - 1.55) / 0.20 = 2

p(Z < - 2) = 0.97725 ( Z probability calculator)

0.97725 - 0.02275 = 0.9545

c. between $1.35 and $1.75?

P(x < 1.35)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.35 - 1.55) / 0.20 = - 1

p(Z < - 2) = 0.15866 ( Z probability calculator)

P(x < 1.75)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.75 - 1.55) / 0.20 = 1

p(Z < - 2) = 0.84134 ( Z probability calculator)

0.84134 - 0.15866 = 0.68268

d. between $0.95 and $1.55?

P(x < 0.95)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (0.95 - 1.55) / 0.20 = - 3

p(Z < - 3) = 0.0013499 ( Z probability calculator)

P(x < 1.55)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.55 - 1.55) / 0.20 = 0

p(Z < 0) = 0.5 ( Z probability calculator)

0.5 - 0.0013499 = 0.4986501

3 0
3 years ago
10p - (3p - 4) = 4(p + 1) + 9
andrezito [222]

Answer:

p = 3

Step-by-step explanation:

distribute parenthesis on both sides of the equation

10p - 3p + 4 = 4p + 4 + 9 ( simplify both sides )

7p + 4 = 4p + 13 ( subtract 4p from both sides )

3p + 4 = 13 ( subtract 4 from both sides )

3p = 9 ( divide both sides by 3 )

p = 3


6 0
3 years ago
What is 2 plus 2
kotegsom [21]

Answer:

4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
If g(x) = x - 3 and f(x) = 3 - x2; find f(g(-2))=
const2013 [10]

Answer:

Step-by-step explanation:

g(-2) = -2 -3 = -5

f(-5)= 3 - (-5)^2 = 3 - 25 = -22

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