Which number completes the system of linear inequalities represented by the graph?
1 answer:
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Answer:
b=0.5 in
b=2 in
Step-by-step explanation:
we know that
The perimeter of triangle is equal to
Solve for a
-----> equation A
Applying the Triangle Inequality Theorem
a+a > b
2a > b -----> inequality B
<u>Verify each case</u>
case 1) b=-2 in
This value not make sense, the length side cannot be a negative number
case 2) b=0 in
This value not make sense
case 3) b=0.5 in
substitute the value of b in the equation A and solve for a
substitute the values of b and a in the inequality B
2a > b
2(7.25) > 0.5
14.50 > 0.5 -----> is true
therefore
b=0.5 in make sense for possible values of b
case 4) b=2 in
substitute the value of b in the equation A and solve for a
substitute the values of b and a in the inequality B
2a > b
2(6.5) > 2
13 > 2 -----> is true
therefore
b=2 in make sense for possible values of b
case 5) b=7.9 in
substitute the value of b in the equation A and solve for a
substitute the values of b and a in the inequality B
2a > b
2(3.55) >7.9
7.1 > 7.9 -----> is not true
therefore
b=7.9 in not make sense for possible values of b
Answer:
Asnwer is A
Step-by-step explanation:
since the correlation between the FFQ and DR is 0.89
x y xy
8.26 1.68 13.8768 68. 2276 2.8224
0.83 0 0 06889 0
20.13 15.1 303.963 405.2169 228.01
11.16 7.49 83.5884 124.5456 56.1001
7.18 12.84 92.1912 51.5524 164.8656
1.76 0 0 3.0976 0
22.46 25.06 567.8596 513.4756 628.0036
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∑ = ∑
= ∑
= ∑
= ∑
=
71.98 62.17 1061.479 1166.8046 1079.8017
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Correlation Coefficient or Pearson Correlation is given by:
the rest calculation is in the attached image
