A track runner is eager to see if practicing helps her improve. She has plotted data on her weekly 100-meter dash times (s) as w
ell as the number of hours spent practicing during the previous week (h). Which of the following is most likely to be the equation of this trend line?
s = 1/5h = 20
s = -1/5h + 20
h = 1/5s + 20
h = -1/5s + 20
s = 1/5h = 20
s = -1/5h + 20
h = 1/5s + 20
h = -1/5s + 20
1 answer:
Answer:
Step-by-step explanation:
<em>Time</em><em> </em>is the dependent variable, so you set your function equal to <em>s</em>. Then, the correlation of the graph has a <em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>] from the y-intercept of
so we choose this answer choice.
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Answer:
True
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Step-by-step explanation:
TRUE
If the equation Ax = 0 has only the trivial solution, then A is row equivalent to the n × n identity matrix
Here's why
If the equation Ax = 0 has only the trivial solution the determinant of the matrix is NOT 0 and the matrix is invertible therefore it is row equivalent to the nxn identity matrix.
TRUE
If the columns of A span ℝ^n , then the columns are linearly independent
Here's why
Remember that the rank nullity theorem states that
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FALSE
If A is an n × n matrix, then the equation Ax = b has at least one solution for each b in ℝ^n
Here's why
Take b as a non null vector and A=0, then Ax = 0 and Ax=b will have no solution.