The table lists the distance d (in ft) above the ground for an object dropped in a vacuum from a height of 500 feet. The time t
(in sec) is the time after the object has been released. Use technology to find the correct R2 value of the given data using a quadratic regression.
2 answers:
Answer:
The correct option is 4. The value of R² is 1.000.
Step-by-step explanation:
The table lists the distance d (in ft) above the ground for an object dropped in a vacuum from a height of 500 feet. The time t (in sec) is the time after the object has been released.
The general form of quadratic regression is
Use technology, we get
The required quadratic regression is
The value of R² is 1.000. Therefore the correct option is 4.
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Answer:
Train A is faster by a factor of 1.01
Step-by-step explanation:
Given:
Train A:
Distance = 175 Miles
Time = 4 Hours
Train B:
y=43.5x
To Find:
which train travels at a faster rate in by what factor =?
Solution:
The speed of the train A =
The speed of train A =
The speed of train A = 43.75 miles per hour
Speed of the train B is the slope of the given line
The standard equation of the slope of the line is
y = mx+b
where m is the slope
and we are given with
y = 43.5x
So comparing with the standard equation
m = 43.5
Hence the speed of train B is 43.5 miles per hours
Train A travels faster
rate =1.01
Answer:
The value of x fro the given equation is ( 4 + 2 i ) , ( 4 - 2 i )
I.e option D
Step-by-step explanation:
Given equation as :
x² - 8 x + 41 = 0
For quadratic equation ax² + b x + c = 0
The value of x =
∴ For equation x² - 8 x + 41 = 0
Or, x =
Or, x =
Or, x =
∴ x = ( 4 + 2 i ) , ( 4 - 2 i )
Hence The value of x fro the given equation is ( 4 + 2 i ) , ( 4 - 2 i )
I.e option D Answer