Answer: OPTION A
Step-by-step explanation:
The equation of the line in slope-intercept form is:
Where m is the slope and b the y-intercept.
Solve for y from each equation:
As you can see the slope and the y-intercept of each equation are equal, this means that both are the exact same line. Therefore, you can conclude that the system has infinitely many solutions.
Part (a)
<h3>Answer: 12.1</h3>-----------------------
Work Shown:
We'll apply the sine rule since we have a known opposite side of AB = 10 and an unknown hypotenuse we want to find BD.
Focus on triangle ABD
sin(angle) = opposite/hypotenuse
sin(D) = AB/BD
sin(56) = 10/x
x*sin(56) = 10
x = 10/sin(56)
x = 12.062179
x = 12.1
Make sure your calculator is in degree mode.
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Part (b)
<h3>Answer: 15.1</h3>-----------------------
Work Shown:
Draw an xy coordinate grid.
Place point A at the origin (0,0).
Point B is 10 units above this, so B is at (0,10).
Point C is at (18,10) since we move 18 units to the right of B.
Point D is at approximately (6.745085, 0). The 6.745085 is from solving tan(56) = 10/x for x.
Refer to the diagram below.
Apply the distance formula for the points C and D.
Segment CD is roughly 15.1 cm long.
Answer:
The 95% confidence interval is
Step-by-step explanation:
From the question we are told that
The first sample size is
The first sample mean is
The first standard deviation is
The second sample size is
The second sample mean is
The second standard deviation is
Generally the degree of freedom is mathematically represented as
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Generally the standard error is mathematically represented as
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From the question we are told the confidence level is 95% , hence the level of significance is
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Generally from the t distribution table the critical value of at a degree of freedom of is
Generally the margin of error is mathematically represented as
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Generally 95% confidence interval is mathematically represented as
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