Answer:
(29.14 ; 30.06)
Step-by-step explanation:
Given that'
Sample size (n) = 57
Mean (m) = 29.6
Population standard deviation (σ) = 2.7
Confidence interval = 80%
= (1 - 0.8) / 2 = 0.1
Mean ± z * σ/√n
Using the Z probability calculator : Z0. 1 = 1.28
Hence,
29.6 ± 1.28 * (2.7 / √57)
29.6 - (1.28 * 0.3576237) ; 29.6 + (1.28 * 0.3576237)
29.142241664 ; 30.057758336
(29.14 ; 30.06)
First answer: Graph A
Second answer: E) Increase less
Graph A shows a flatter curve compared to B which is steeper. The steeper the curve, the faster the increase.
(5) Angle ADC is the sum of angles ADB and BDC.
(6) Yes, because lines AG and EC form two pairs of vertical angles, including ADC and EDG, as well as ADE and CDG.
(7) Angle HJK is clearly a right angle, and a right angle has measure 90°.
Answers:
9). 45/9 = 5
10). 2 *14² = 2* 196 = 392
11). 5 * 12 * 7 = 60 * 7 = 420
12). 1/2 * 9 * 12 = 54
13).1/2(24)(9 + 21) = 12 * 30 = 360
14). 14 * 13 = 182
15). 16 * 8 * 5 = 640
16). 75/5 = 15
17). 2(5²) = 2 * 25 = 50
18). 8(2.5 + 4.2) = 8 * 6.7 = 53.6
19). 1/2(3)(5 + 6) = 33/2 = 16.5
20). 3.14(6²) = 3.14 * 36 = 113.04
