Answer:
Point B must be at the same distance from the the origin as point A.
Step-by-step explanation:
Coordinates of point A = (3, 3)
When point A is rotated 90° counterclockwise around the origin, coordinates of the new point B will be (-3, 3)
Distance from origin to point A = 
Similarly, distance of point B from the origin = 
Therefore, distances of both the points from the origin are same.
Point B must be at the same distance from the the origin as point A.
Answer: (0.076, 0.140)
Step-by-step explanation:
Confidence interval for population proportion (p) is given by :-

, where
= sample proportion.
n= sample size.
= significance level .
= critical z-value (Two tailed)
As per given , we have
sample size : n= 500
The number of Independents.: x= 54
Sample proportion of Independents
Significance level 98% confidence level :
By using z-table , Critical value :
The 98% confidence interval for the true percentage of Independents among Haywards 50,000 registered voters will be :-

Hence, the 98% confidence interval for the true percentage of Independents among Haywards 50,000 registered voters.= (0.076, 0.140)
Answer:
Step-by-step explanation:
This is clearly a linear relationship. If Alex rented the movie for 0 days, he'd owe nothing. If he paid $6 for a 3-day rental, the slope of this line would be m = rise / run = $6/(3 days) = $2/day, which is positive.
Then the equation for this graph is C(x) = ($2/day)x, where x is the number of days for which the movie is rented.
Using this formula, we find three particular points on the graph:
(1, $2), (2, $4), (3, ($6)
Step-by-step explanation:
there is no diagram so I'm just going to guess this however
sin x = 6/9
sin x = 2/3
sin x = 0.67
x = sin inverse of 0.67
x = 42.1