Answer:
A.The confidence interval based on the sample of 64 data values will be more precise.
Step-by-step explanation:
Given that we take two different random samples from the same population of test scores.
The population mean and standard deviation are unknown.
The first sample has 25 data values. The second sample has 64 data values.
When sample sizes grow the confidence interval will be narrower this is due to the reason that margin of error depends on standard error which in turn is inversely proportional to square root of sample size.
So we find that A.The confidence interval based on the sample of 64 data values will be more precise.
Answer:
Option A Center (5,-4) radius 7
Step-by-step explanation:
x^2 +y^2 - 10x +8y - 8= 0
Center(-g,-f)
2gx = - 10x
g = - 5
2fy = 8y
f = 4
Center (5,-4)
Radius = square root of (g^2+f^2 - c)
r = square root of (5^2 + - 4^2 - (-8))
r = square root of (25+16+8)
r = square root of 49
r = 7
Answer:
here i gotchu mate:)
Step-by-step explanation:
To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Shifted down
3
units
Pair up the terms into separate groups. Then factor each group individually (pull out the GCF). Once that is finished, you factor out the overall GCF to complete the full factorization.
8r^3 - 64r^2 + r - 8
(8r^3 - 64r^2) + (r - 8)
8r^2(r - 8) + (r - 8)
8r^2(r - 8) + 1(r - 8)
(8r^2 + 1)(r - 8)
So the final answer is (8r^2 + 1)(r - 8)
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Edit:
Problem 1b) Follow the same basic steps as in part A
28v^3 + 16v^2 - 21v - 12
(28v^3 + 16v^2) + (-21v - 12)
4v^2(7v + 4) + (-21v - 12)
4v^2(7v + 4) - 3(7v + 4)
(4v^2 - 3)(7v + 4)
The answer to part B is (4v^2 - 3)(7v + 4)
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Second Edit:
I apologize for the first edit. I misread what you were asking initially. Here is problem 2A. We follow the same basic steps as in 1a) and 1b). You'll need to rearrange terms first
27mz - 12nc + 9mc - 36nz
27mz + 9mc - 12nc - 36nz
(27mz + 9mc) + (-12nc - 36nz)
9m(3z + c) + (-12nc - 36nz)
9m(3z + c) -12n(c + 3z)
9m(3z + c) -12n(3z + c)
(9m - 12n)(3z + c)
3(3m - 4n)(3z + c)
Answer:
(c) y = -3x +6
Step-by-step explanation:
The equation can be written in slope-intercept form when we know the slope and the y-intercept.
<h3>Slope-intercept form</h3>
The slope-intercept form of the equation of a line is ...
y = mx +b . . . . . . where m is the slope and b is the y-intercept
<h3>Y-intercept</h3>
The y-intercept is the y-value where the line crosses the y-axis. It is 6. This eliminates choices A and D, leaving choices ...
- y = 3x +6 . . . . . choice B
- y = -3x +6 . . . . .choice C
<h3>Slope</h3>
The line goes down to the right. This is a negative slope, eliminating choice B.
The equation of the line is y = -3x +6.
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<em>Additional comment</em>
The line intersects the x-axis at x=2. This means the "rise" of the line is -6 units for a "run" of 2 units. The numerical value of the slope is ...
m = rise/run = -6/2 = -3
Now, we know the parameters of the equation are m=-3, b=6, and the equation of the line is
y =-3x +6
