Answer: 
Step-by-step explanation:
Given : A random sample of 700 home owners in a particular city found 112 home owners who had a swimming pool in their backyard.
i.e. n= 700 and x= 112
Sample proportion : 
z-value for 95% confidence interval : 
Now, the 95% confidence interval for the true percent of home owners in this city who have a swimming pool in their backyard will be :-
Hence, 95% confidence interval for the true percent of home owners in this city who have a swimming pool in their backyard :
Answer:
3x-4y-6z
Step-by-step explanation:
Combine like terms.
Answer:
20
Step-by-step explanation:
we see here that angle RPN is 180 degrees. SPM is 90 degrees so
angle RPS + angle SPM + angle MPN = 180 degrees
(4y - 10) + 90 + y = 180
(4y - 10) + y = 90
5y - 10 = 90
5y = 100
y = 20
Answer:
sinѲ = -1/√5 or -√5/5
Step-by-step explanation:
On the Cartesian plane, we have radius (r) and angle (Ѳ) theta.
On the Cartesian plane we also have x, y where:
x = r cosѲ .......Equation 1
and y = r sinѲ ........Equation 2
r = √x² + y²
In the question we are given points (2,-1)
Where x = 2 , y = -1
We would solve for r by substituting 2 for x and -1 for y
r = √ 2² + -1²
r = √ 4 + 1
r = √5
In the question, we were asked to find what sin theta (Ѳ) is. Hence, we would be substituting √5 for r in Equation 2
y = r sinѲ
Where y = -1 and r = √5
-1 = √5 sinѲ
Divide both sides by √5
sinѲ = -1/√5
We can also represent sin Ѳ in a proper form, by multiplying both top and bottom by √5
sinѲ = -√5/5
Therefore, sinѲ = -1/√5 of -√5/5
Answer:
true
Step-by-step explanation:
In order to support the industrial revolution, many natural resources like coal and oil were used up very quickly due to the sudden boom of business which industrialization brought forth.
