Answer:
Step-by-step explanation:
Simply divide by c to isolate x.
Pls need help now.
1 answer:
Answer:
θ = {π/6, 5π/6} +2kπ . . . . for any integer k
Step-by-step explanation:
Multiplying by the product of the denominators, we can simplify this to ...
sin(θ)² +(1+cos(θ))² = 4sin(θ)(1+cos(θ))
sin(θ)² +1 +2cos(θ) +cos(θ)² = 4sin(θ)+4sin(θ)cos(θ)
2 +2cos(θ) = 2sin(θ)(2 +2cos(θ)) . . . . show similar factors
2(2sin(θ) -1)(1 +cos(θ)) = 0 . . . . subtract left side, complete the factoring
These factors are zero when ...
2sin(θ) -1 = 0 ⇒ sin(θ) = 1/2 ⇒ θ = π/6, 5π/6
1 +cos(θ) = 0 . . . . . extraneous solution; makes equation undefined
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Solutions are periodic with period 2π, so the complete solution set is ...
θ = {π/6, 5π/6} +2kπ . . . . for any integer k
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Answer:
The upper bound of a 95% confidence interval for the proportion of individuals over the age of 25 in Oregon who do not have a high school diploma is of 0.2568.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of .
95% confidence level
So , z is the value of Z that has a p-value of
, so
.
In a sample of 234 individuals over the age of 25, chosen at random from the state of Oregon, 48 did not have a high school diploma.
This means that
The upper limit of this interval is:
The upper bound of a 95% confidence interval for the proportion of individuals over the age of 25 in Oregon who do not have a high school diploma is of 0.2568.
Answer:
The remainder is: 3x+3
The quotient is: 1
Step-by-step explanation:
We need to divide
(3x^2 + 9x + 7) by (x+2)
The remainder is: 3x+3
The quotient is: 1
The solution is attached in the figure below.
