Answer:
Hector
Step-by-step explanation:
The are parallel because they go in the same directions and they are line segments because technically a true line is infinitely long.
Answer:
90 Confidence Interval for the proportion = [ 0.216,0.334]
Step-by-step explanation:
The confidence interval for proportion formula =
p ± z × √p(1 - p)/n
Where p = x/n
x = 42
n = number of samples = 153
p = 42/153
p = 0.2745098039 ≈ 0.275
z = z score of 90% confidence interval = 1.645
Confidence interval =
0.275 ± 1.645 × √0.275 - ( 1 - 0.275)/153
= 0.275 ± 1.645 × √0.0013031046
= 0.275 ± 0.0593820985
Confidence Interval
= 0.275 - 0.0593820985
= 0.2156179015
≈ 0.216
= 0.275 + 0.0593820985
= 0.3343820985
≈ 0.334
90 Confidence Interval for the proportion = [ 0.216,0.334]
7
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Answer: B = 18 degrees
C = 48 degrees
Step-by-step explanation:
Complimentary angles are angles whose sum is 90 degrees.
Angle A, angle B, and angle C are complementary angles. This means that
A + B + C = 90- - - - - - - - - - - - -1
The measure of angle C is twice the measure of angle A. If the measure of angle A is 24 degrees, it means that the measure of angle C would be 2 × 24 = 48 degrees.
Substituting A = 24 and C = 48 into equation 1, it becomes
24 + B + 48 = 90
72 + B = 90
B = 90 - 72
B = 18 degrees
