If a line segment is partitioned having ending points (1,4),(7,1) in the ratio of 3:1 then the coordinates will be (25/4,7/4)
Given Ending points (1,4), (7,1) and the ratio 3:1 in which the line segment is divided.
If we are given the ratio m:n and the ending points of the line segment then the coordinates of the point dividing the segment will be (mx2+nx1/m+n,my2+ny1/m+n)
Putting the values of m=3 n=1 x1=1 y1=4 x2=7 and y2=1 we get
Coordinates (x,y)=(3*7+1*1/3+1,3*1+1*4/3+1)
=(21+1/4,3+4/4)
=(22/4,7/4)
Hence the point which is dividing the line segment having ending points (1,4) and (7,1) in the ratio 3:4 is (22/4,7/4).
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Answer:
The team sold 91 hats.
Step-by-step explanation:
$3,094 ÷ %34 = 91
Answer:
1. $29.4 million
2. 145.24
3. 145.24
4. 12.05
5. D. No, because the sample is not representative of the whole population.
Step-by-step explanation:
1. The computation of range of the sample data is shown below:-
Range of the sample data = Maximum value - Minimum value
= 42 - 12.6
= $29.4 million
2. For the computation of variance of the sample data first, we need to find out the mean which is shown below:-
Mean = 
= 24.83
The Variance of the sample data
= 
= 
= 145.24
3. The computation of the standard deviation of the sample data is shown below:-
The Standard deviation of the sample
= 
= $12.05155592
or
$12.05
4. No, as the sample does not represent the whole population.
Answer:3 and 1/4 is closer to 3 and 3/5 is closer to 4
Step-by-step explanation: one is closer on the number scale then the other
