In this diagram Which proves DEF congruent to JIH?
1 answer:
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Answer: b. Yes
Step-by-step explanation: Confidence Interval for a population proportion is calculated as:
p ±
where
p is the sample proportion
n is sample size
z is z-score, in this case, as it is 95%, z-score=1.96
Calculating confidence interval:
p = 0.3248
0.3248 ±
0.3248 ±
0.3248 ± 0.0425
Interval: 0.2823 < μ < 0.3673
The interval means we are 95% sure the true mean is between 0.2823 and 0.3673. As the campaign claims a proportion of no more than 0.32 of the voters wants to see Mayor Waffleskate defeated and the number is in the confidence interval, the claim is supported.
Answer: Look at the screenshot
Step-by-step explanation:
Ive added a screenshot of what this graph should look like
9514 1404 393
Answer:
23.2 mi/h at N 7.4° W
Step-by-step explanation:
The velocity vectors of the woman and the ship form the legs of a right triangle. The hypotenuse of that triangle is the vector representing the woman's speed relative to the water.
The magnitude of the resultant velocity can be found using the Pythagorean theorem.
r = √(3² +23²) = √538 ≈ 23.2
The given vectors are adjacent and opposite the angle of interest, so the tangent relation applies.
Tan = Opposite/Adjacent
tan(α) = 3/23
α = arctan(3/23) ≈ 7.4°
The woman's speed relative to the water is about 23.2 mi/h. Her direction is about 7.4° west of north.
