There are three elements in that set.
Answer:
18/100 or 9/50
Step-by-step explanation:
0.18 = 0.18/1
times 100 then 18/100
divided by 2 then 9/50
Answer:
B. {16, 19, 20}
Step-by-step explanation:
The <em>triangle inequality</em> requires for any sides a, b, c you must have ...
a + b > c
b + c > a
c + a > b
The net result of those requirements are ...
- the sum of the two shortest sides must be greater than the longest side
- the length of the third side lies between the difference and sum of the other two sides
__
If we look at the offered side length choices, we see ...
A: 8+11 = 19 . . . not > 19; not a triangle
B: 16+19 = 35 > 20; could be a triangle
C: 3+4 = 7 . . . not > 8; not a triangle
D: 5+5 = 10 . . . not > 11; not a triangle
The side lengths {16, 19, 20} could represent the sides of a triangle.
_____
<em>Additional comment</em>
The version of triangle inequality shown above ensures that a triangle will have non-zero area.
The alternative version of the triangle inequality uses ≥ instead of >. Triangles where a+b=c will look like a line segment--they will have zero area. Many authors disallow this case. (If it were allowed, then {8, 11, 19} would also be a "triangle.")
Answer:
A. D
B. χ2 > 3.841
C. χ2 = 3.4806
D. 0.0621
Step-by-step explanation:
Question A: The hypotheses the dean should use are:
a) H0 : π1 - π2 ≥ 0 versus H1 : π1 - π2 < 0.
b) H0 : π1 - π2 ≤ 0 versus H1 : π1 - π2 > 0.
c) H0 : π1 - π2 ≠ 0 versus H1 : π1 - π2 = 0.
d) H0 : π1 - π2 = 0 versus H1 : π1 - π2 ≠ 0.
Answer: (d)
H0 : π1 - π2 = 0 versus H1 : π1 - π2 ≠ 0.
(B). Referring to the scenario above, the null hypothesis will be rejected if the test statistic is ________.
Answer: χ2 > 3.841
(C). Referring to the scenario above, the value of the test statistic is ________.
Answer: χ2 = 3.4806 (using the formula)
(D). Referring to the scenario above, the p-value of the test is ________.
Answer: 0.0621 (the answer could be looked up, in table)
