Answer:
Step-by-step explanation:
Given that a researcher is planning to construct a one-sample z ‑confidence interval for a population mean
The confidence interval would be calculated as

Here margin of error = Z critical * std error determines the size of the confidence interval
Margin of error dependds on i) Z critical value ii) std deviation
iii) Inversely to square root of sample size.
Hence margin of error would be small if
.B) The researcher increases the sample size
C) The researcher lowers the confidence level
E) The population standard deviation turns out to be lower than expected.
Answer:
are u asking the absolute value ??? if so.. |7|
Step-by-step explanation:
To solve each of the problems, I first looked for the equation that had the same slope value and then plugged in the 'x' coordinate to see if it gave me the correct 'y' coordinate.
1.)
D.) y = 5x + 4
14 = 5(2) + 4
14 = 10 + 4
14 = 13
2.)
C.) y = 1/5x - 19
-16 = 1/5 (15) - 19
-16 = (3) - 19
-16 = -16
3.) First, get 'y' by itself by subtracting 4x from both sides and dividing the whole equation by -12. To find perpendicular lines, the slope must be the opposite reciprocal of the first slope (in this case, flip the fraction to get the three on top). Add the opposite sign to the slope as your final step.
4x - 12y = 2
-4x -4x
-12y = -4x + 2
-12y / -12 = -4x / -12+ 2 / -12
y = 1/3x - 1/6
C.) y = -3x + 29
-1 = -3(10) + 29
-1 = (-30) + 29
- 1 = -1
F(-3)=(-2)*(-3)-4=6-4=2
F(-2)=(-2)*(-2)-4=4-4=0
F(-1)=(-2)*(-1)-4=2-4=-2