Answer:
θ = π n + π/2 for n element Z
Step-by-step explanation:
Solve for θ:
1 + 2 cos(2 θ) + cos^2(2 θ) = 0
Write the left hand side as a square:
(cos(2 θ) + 1)^2 = 0
Take the square root of both sides:
cos(2 θ) + 1 = 0
Subtract 1 from both sides:
cos(2 θ) = -1
Take the inverse cosine of both sides:
2 θ = 2 π n + π for n element Z
Divide both sides by 2:
Answer: θ = π n + π/2 for n element Z
The slope intercept form is
y = Mx + b
x and y are the coordinates, and m is the slope. If you don’t have b, you can plug in the other numbers you do have.
EXAMPLE:
A line has a slope of -3 and a coordinate of (1, 6). What is the y-intercept (b)?
y = Mx + b
6 = -3(1) + b
6 = -3 + b
9 = b
Answer:
first one
Step-by-step explanation:
trust me im doing these too
Answer:
45hours
Step-by-step explanation:
Given
Mary month earnings to be R(x)=13x+155
Josies monthly earning is given as Q(x)=9x+335
If Josie and Mary work to earn the same salary, then R(x) = Q(x)
13x+155 = 9x+335
subtract 155 from both sides
13x+155-155 = 9x+335-155
13x = 9x+180
subtract 9x from both sides
13x-9x = 9x+180-9x
4x = 180
x = 180/4
x = 45
Since x equals the number of hours worked by Josie and Mary, this means that Josie and Mary must work for 45hours to earn the same salary
Answer:
a. For n=25, the mean and standard deviation of the prices of the mobile homes all possible sample mean prices are $63,800 and $1,580, respectively.
b. For n=50, the mean and standard deviation of the prices of the mobile homes all possible sample mean prices are $63,800 and $1,117, respectively.
Step-by-step explanation:
In this case, for each sample size, we have a sampling distribution (a distribution for the population of sample means), with the following parameters:
For n=25 we have:
The spread of the sampling distribution is always smaller than the population spread of the individuals. The spread is smaller as the sample size increase.
This has the implication that is expected to have more precision in the estimation of the population mean when we use bigger samples than smaller ones.
If n=50, we have:
