Answer:
(x, y) =(-1, - 1)
Step-by-step explanation:
-Substitute the value of x
-solve the equation
-Substitute the value of y
-check the possible solution
-check solution
-simplify
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
Answer:
C) -7/3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(9-(-5))/(-2-4)=(9+5)/-6=14/-6
simplify -14/6 to -7/3
Distance swam in 5 minutes = 85.4 yards
Since, 1 min = 60 seconds and 1 yard = 0.91 meter
5 minutes =
seconds
85.4 yards =
meters
So, Distance swam in 300 seconds = 77.7 meters
Now, we will use unitary method to determine the distance swam in 70 seconds.
Distance swam in 1 second =
= 0.26 meter
So, Distance swam in 70 seconds = 
= 18.2 meters
Therefore, the swimmer took 70 seconds to cover the distance of 18.2 meters.