Slope=
m=(y1-y2)/(x1-x2)
m=(-16--15)/(19--7)
m=(-16+15)/(19+7)
m=(-1)/(26)
Slope is -1/26
The dog must take 125 steps if Evan takes 50.
Option C is correct
<h3>What exactly is a series query?</h3>
These problems are based on numerical series that adhere to a logical rule or pattern derived from fundamental notions in mathematics. The pattern must be examined from a certain sequence that is presented. The following question asks you to anticipate the subsequent number in the series using the same formula.
<h3>Sequence and series types?</h3>
arithmetic progressions Sequences in geometry. Harmonic patterns.
Evan takes ten steps before the dog takes 25 steps.
Evan takes 28 steps first, then the dog takes 70 steps.
Evan takes 50 steps, followed by the dog's 125 steps.
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The common ratio of the sequence 3, 9, 27, 81 is 3
n to the power of 3
1 to the power of 3 = 3
2 ... = 9
3 ... = 27
4 ... =81
Answer:
100
Step-by-step explanation:
First we find the mean of this set of data. We find the mean by finding the sum of data values and dividing it by the number of data values:
5+10+10+10+10+10+10+15 = 80
There are 8 data values; 80/8 = 10. The mean is 10.
To find the standard deviation, subtract the mean from each value; square the difference; add the squares; divide by the number of data values; and take the square root:
5-10 = -5; 10-10 = 0; 10-10 = 0; 10-10 = 0; 10-10 = 0; 10-10 = 0; 10-10 = 0; 15-10 = 5
(-5)^2 = 25; 0^2 = 0; 0^2 = 0; 0^2 = 0; 0^2 = 0; 0^2 = 0; 0^2 = 0; 5^2 = 25
25+0+0+0+0+0+0+25 = 50
50/8 = 6.25
√6.25 = 2.5
The standard deviation is 2.5.
This means two standard deviations, or 2σ, is 2(2.5) = 5.
This gives us μ-2σ = 10-5 = 5 and μ+2σ = 10+5 = 15.
Since all of our data is between 5 and 15, 100% is within two standard deviations of the mean.
