Answer:
VW = √2
Step-by-step explanation:
y = x+1
x²+y²+2x+2y+1=0 (x²+2x+1) + (y²+2y+1) = 1
(x+1)² + (y+1)² = 1 : Circle: (x-h)² + (y-k)² = r² Center (O): (h , k) = (-1 , -1) r = 1
solve for roots: x²+(x+1)²+2x+2(x+1)+1=0
2x² + 6x + 4 = 0 x²+3x+2=0
(x+1)(x+2)=0
x = -1 or x = -2
y = 0 or y = -1
V and W: (-1 , 0) and (-2 , -1) forms a 90° center angle
√vw = √1²+1² = √2
(4n+1)=(2n-9)
the sum of four times a number and one is equal to the difference of twice the number and 9
Answer:
1/5
Explanation:
There are five choices in the spinner. <em>One </em>of the choices is labeled '5'. That means you will have one out of the 5 choices to get the choice labeled '5'.
Good day :)
Answer: point estimate = 3.88
Margin of error = 0.63
Step-by-step explanation:
Confidence interval is written in the form,
(Point estimate - margin of error, Point estimate + margin of error)
The sample mean, x is the point estimate for the population mean. Let m represent the margin of error. Since the confidence interval is given as (3.25 , 4.51), it means that
x - m = 3.25
x + m = 4.51
Adding both equations, it becomes
2x = 7.76
x = 7.76/2
x = 3.88
Substituting x = 3.88 into x + m = 4.51, it becomes
3.88 + m = 4.51
m = 4.51 - 3.88
m = 0.63
