Answer:
Step-by-step explanation:
Using normal distribution
z = (x - mean) / standard deviation
Nine percent of americans say they are well informed about politics in comparison to most people.
That means probability of success is p =9/100 = 0.09,
then probability of failure is
q = 1-p =1 -0.09= 0.91
n = number of sample = 200
x=(8% of 200) = 0.08×200 =16
mean = np = 200×0.09= 18
Standard deviation = npq = 200×0.09×0.91= 16.38
We are looking for the probability that less than 8% of the people sampled will answer yes to the question
8% of 200 = 16
P (x greater than 16) =P(x lesser than/equal to 15)
z = 15-18 /16.38 = -3/16.38
= -0.18
Looking at the normal distribution table
P(x greater than 16) = 0.5714
Answer: 2sin^2x+sin2x+cos2x=0 ..... (1).
By using the trigonometric identities below :
sin2x=2sinxcosx
cos2x=cos^2x-sin^2x
We substitute the trigonometric identities into (1).
2sin^2x+2sinxcosx+cos^2x-sin^2x=0
By combining like terms .
sin^2x+2sinxcosx+cos^2x=0.....(2)
The equation (2) is equivalent to the following expression (3).
(sinx+cosx)(sinx+cosx)=0 .....(3).
sinx+cosx=0
cosx=-sinx
divide both sides by cosx
1=-sinx/cosx
-1=sinx/cosx
sinx/cosx=tanx
substitute
-1=tanx
tanx=-1
tangent is negative in 2nd and 4th quadrants
tan135º=-1 (one answer)
tan315º=-1 (second answer)
Step-by-step explanation:
Please refer to the trigonometric identities used and explained above .
Answer:
6.05
Step-by-step explanation:
Answer:
Only 1st option Negative three-fourths divided by Negative two-thirds has positive quotient.
Option A is correct.
Step-by-step explanation:
We will solve to find out Which expression has a positive quotient.
We know the division rule:
and 
We will use these rules
1) Negative three-fourths divided by Negative two-thirds

The quotient is positive.
2) Negative StartFraction 1 over 8 EndFraction divided by 3 and one-fifth

The quotient is negative.
3) 2 and StartFraction 2 over 7 EndFraction divided by negative one-fifth

The quotient is negative.
4) Negative 6 divided by Five-thirds

The quotient is negative.
So, only 1st option Negative three-fourths divided by Negative two-thirds has positive quotient.
Option A is correct.