Let
n = number of data
s = standard deviation (sample)
S = standard deviation (population)
The working equations is

To find

, : (1 - 0.90)/2 = 0.05
To find

, : 1 - 0.05 = 0.95
Degrees of freedom = n-1 = 24 - 1 = 23
This is shown in the figure attached. Since there is no row for df=23, we interpolate. Thus,
Substitute all values,

Thus the answer is,
3. Is 4 2. Is x hoped this helped
Using proportions, considering the cost of the taxi per mile, it is found that Gary traveled 9.375 miles, not including the first.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the company charges 2.95 for the first mile and $0.3 per each 1/8 mile next = $2.4 per mile. After the first mile, he was charged a total of $25.45 - $2.95 = $22.5. Hence the number of miles is given by:
22.5/2.4 = 9.375.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
m = 19/14 so the third point is (8, 19/7).
Step-by-step explanation:
If they are co-linear then the the slope will be equal.
The slopes of the lines are:
(difference in y coordinates) / (difference in corresponding x coordinates)
Slope between the first 2 points = (-3-1) / (-2-5) -4 / -7
= 4/7.
So if the 3 points are co-linear:
4/7 = (2m - -3) / (8 - -2)
4/7 = (2m + 3 / 10
7(2m + 3) = 40
14m + 21 = 40
14m = 19.
m = 19/14.
Step-by-step explanation:
7x+5y=25 ×3 7×-1.5+5y=25
5x+3y= -23 ×5 -10.5 +5y =25
5y= 25 + 10.5
21x+15y=75 5y= 35.5
25x+15y=69 y= 7.1
-4x=6
x=-1.5