Answer:
B, C, E, F
Step-by-step explanation:
x^2 >= 49
A. 6: 6^2 = 36 No
B. 20: 20^2 = 400 Yes
C. -7: (-7)^2 = 49 Yes
D. -5: (-5)^2 = 25 No
E. -16: (-16)^2 = 256 Yes
F. 7: 7^2 = 49 Yes
64 gotta be the correct answer
Applying the law of sines, the approximate length of side YZ is: A. 15.7 units.
<h3>How to Apply the Law of Sines?</h3>
Law of sines is expressed as follows: x/sin X = y/sin Y = c/sin Z.
Given the following:
- x (YZ) = ?
- X = 32°
- z = 24
- Z = 180 - 32 - 94 = 54°
Plug in the values
x/sin 32 = 24/54
x = (sin 32 × 24)/sin 54
x ≈ 15.7 units.
Learn more about the law of sines on:
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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)
