Answer:
We have the equation of the line as : 4x+2y=12
Step-by-step explanation:
Now 4x+2y=12
=> 2y = 12 - 4x
=> y = 6 - 2x
A line with a slope m and y-intercept c can be written as y = mx + c
In the case of y = -2x -...
Answer:
y =1/2x+6
y = -2x+2
Step-by-step explanation:
Perpendicular line have slopes that multiply to -1
The slopes are negative reciprocals
-4*4 = 16 not perpendicular
1/2 * -2 = -1 perpendicular
1/5 *5 = 1 not perpendicular
2/3 * 2/3 = 4/9 not perpendicular
<span>n = 5
The formula for the confidence interval (CI) is
CI = m ± z*d/sqrt(n)
where
CI = confidence interval
m = mean
z = z value in standard normal table for desired confidence
n = number of samples
Since we want a 95% confidence interval, we need to divide that in half to get
95/2 = 47.5
Looking up 0.475 in a standard normal table gives us a z value of 1.96
Since we want the margin of error to be ± 0.0001, we want the expression ± z*d/sqrt(n) to also be ± 0.0001. And to simplify things, we can omit the ± and use the formula
0.0001 = z*d/sqrt(n)
Substitute the value z that we looked up, and get
0.0001 = 1.96*d/sqrt(n)
Substitute the standard deviation that we were given and
0.0001 = 1.96*0.001/sqrt(n)
0.0001 = 0.00196/sqrt(n)
Solve for n
0.0001*sqrt(n) = 0.00196
sqrt(n) = 19.6
n = 4.427188724
Since you can't have a fractional value for n, then n should be at least 5 for a 95% confidence interval that the measured mean is within 0.0001 grams of the correct mass.</span>
