Answer:
5x +y = 34
Step-by-step explanation:
Since a point and slope are given, it is convenient to start with point-slope form, then rearrange the equation to put it into standard form.
For slope m through point (h, k), the point-slope form of the equation of a line is usually written ...
y -k = m(x -h)
For m=-5 and (h, k) = (6, 4), the equation is ...
y -4 = -5(x -6)
y -4 = -5x +30 . . . . . eliminate parentheses
__
Standard form looks like ...
ax + by = c
where a > 0 and GCD(a, b, c) = 1. Here's how we can get there.
5x +y -4 = 30 . . . . . . add 5x
5x +y = 34 . . . . . . . . . add 4 to get standard form.
The confidence interval formula is computed by:
Xbar ± Z s/ sqrt (n)
Where:
Xbar is the mean
Z is the z value
S is the standard deviation
N is the number of samples
So our given are:
90% confidence interval with a z value of 1.645
Sample size 40, 45
Mean 180, 179
Standard deviation 2, 4
So plugging that information in the data will give us a
confidence interval:
For 1:
Xbar ± Z s/ sqrt (n)
= 180 ± 1.645 (2 / sqrt (40))
= 180 ± 1.645 (0.316227766)
= 180 ± 0.520194675
= 179.48, 180.52
For 2:
Xbar ± Z s/ sqrt (n)
= 179 ± 1.645 (4 / sqrt (45))
<span>= 179 ± 1.645 (0.596284794)</span>
therefore, the answer is letter b
Subtract 24.45 from itself the subtract 13.27 by 24.45 and should t=37.73