In terms of ability to withstand wind speed, approximately how many times as strong is Patricia's steel-house as Peggy's stick-h
1 answer:
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Answer:
P-value ≈ 0.3463
Step-by-step explanation:
Hypothesis test would be
:p=0.20
:p>0.20
We need to calculate the z-score of sample proportion and then the corresponding P-value.
z-score can be calculated as:
z= where
- p(s) is the sample proportion of specimens yield before the theoretical point (
)
- p is the proportion assumed under null hypothesis. (0.20)
- N is the sample size (40)
Using the numbers
z= =0.3953
and the P-value is then P(z)≈0.3463
Answer:
22.5° and 67.5°
Step-by-step explanation:
The sum of complementary angles equal 90°.
Given that one of the complementary angles is 3 times larger than the other, let "x" represent the other angle.
Thus, the following expression can be written to represent this case:
Solve for x
Divide both sides by 4
The measure of the complementary angles are:
x = 22.5°
3x = 3(22.5) = 67.5°