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1 answer:
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Answer:
True: 12, 13
False 11, 14
Step-by-step explanation:
Two lines intersect and form two pairs of vertical angles:
- angles 2 and 4 are vertical;
- angles 3 and the sum of angles 1 and 5 are vertical.
Vertical angles are always congruent, so
(12 statement is true)
(13 statement is true)
Angles 3 and 4 are supplementary angles (add up to 180°), but these angles can have different degree measures, so statement 11 is false.
Statement 14 is false too, because angle 3 can have the degree measure which differs form 90°.
Answer:
405
Step-by-step explanation:
To find sample size, use the following equation, where n = sample size, za/2 = the critical value, p = probability of success, q = probability of failure, and E = margin of error.
The values that are given are p = 0.84 and E = 0.03.
You can solve for the critical value which is equal to the z-score of (1 - confidence level)/2. Use the calculator function of invNorm to find the z-score. The value will given with a negative sign, but you can ignore that.
(1 - 0.9) = 0.1/2 = 0.05
invNorm(0.05, 0, 1) = 1.645
You can also solve for q which is 1 - p. For this problem q = 1 - 0.84 = 0.16
Plug the values into the equation and solve for n.
Round up to the next number, giving you 405.