Answer: 28 red marbles
Step-by-step explanation:
Since there are in total 140 marbles and there are 5 red marbles, just simply divide 140 by 5 and you get your answer. 28 red marbles.
3(n-7)=-30
3n-21= -30
3n = -9
n= -3
Answer:
Set A's standard deviation is larger than Set B's
Step-by-step explanation:
Standard deviation is a measure of variation. One way to judge the value of standard deviation is by looking at the range of the data. In general, a dataset with a smaller range will have a smaller standard deviation.
The range of data Set A is 25-1 = 24.
The range of data Set B is 18-8 = 10.
Set A's range is larger, so we expect its standard deviation to be larger.
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The standard deviation is the root of the mean of the squares of the differences from the mean. In Set A, the differences are ±12, ±11, ±10. In Set B, the differences are ±5, ±3, ±1. We don't actually need to compute the RMS difference to see that it is larger for Set A.
Set A's standard deviation is larger than Set B's.
Answer:
72.14 units
Step-by-step explanation:
Let A(8,13), B(5,-18),C(-6,-6) and D(-2,-5)
Apply the distance formula as;

Finding the lengths of the segments
For AB

For BC

For CD

For DA

Finding the perimeter will be;
31.14+16.28+4.12+20.6=72.14 units