Answer:
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
represent the sample mean for the sample
population mean (variable of interest)
s represent the sample standard deviation
n represent the sample size
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
For this case the confidence interval is given by (6.55,8.15). And we can estimate the margin of error with this formula since the confidence interval is symmetrical:
Plug in 6 for x
2^2 - 7(6) - 6
4 - 42 - 6 = -44
Answer:
Therefore ,the distance, on a coordinate plane, between the points G(2.-3) and D(2, 4) is 
Step-by-step explanation:
Given:
point G( x₁ , y₁) ≡ ( 2 ,-3)
point D( x₂ , y₂) ≡ (2 , 4)
To Find:
Distance between GD=?
Solution:
Distance Formula between two point is given by
Substituting the values we get
Therefore ,the distance, on a coordinate plane, between the points G(2.-3) and D(2, 4) is
9514 1404 393
Answer:
x = -4/3y² -40/3y -103/3
x = -4/3(y +5)² -1
Step-by-step explanation:
Solve for x.
x = (4y² +40y +103)/(-3)
x = -4/3y² -40/3y -103/3 . . . . 'standard form' in the US
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Taking our clues from the graph*, we can write the vertex form equation as ...
x = -4/3(y +5)² -1 . . . . . . 'standard form' in other places
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* The vertex is (-1, -5), so for some leading coefficient, the equation will be ...
x = a(y -(-5))² +(-1) = a(y +5)² -1
The value of 'a' is the scale factor. Here, that is the difference between the parabola value (x = -2 1/3) and the vertex value (x = -1) one unit away from the vertex.
Range: lowest number subtracted from highest number
105.40 - 27.50 = $77.90
