Your question is first one that’s your answer
Answer:
0.1369
(4.732, 5.268)
Step-by-step explanation:
Given that:
Mean, m = 5
Standard deviation, s = 1.5
Error margin, E = 0.5
Sample size, n = 120
Zcritical at 95% = 1.96
Standard Error of the mean (S. E) :
S. E = s /sqrt(n)
S. E = 1.5 / sqrt(120
S.E = 1.5 / 10.954451
S. E = 0.1369306
S. E = 0.1369
Confidence interval (C. I)
Mean ± (Zcritical * S.E)
5 ± (1.96 * 0.1369)
Lower boundary = 5 - 0.268324 = 4.731676
Upper boundary = 5 + 0.268324 = 5.268324
(4.732, 5.268)
Answer:
48m
Step-by-step explanation:
Four pieces are easily found,
6m, 6m, 8m, 8m
The diagonal pieces can be found using Pythagoras theorem
+ =
Where c is the length of the diagonal piece and a and b are the two sides of the triangle
+ =
64 + 36 =
100 =
= c
c = 10
Remember there are two identical diagonal pieces
Total length of the wood = 6 + 6 + 8 + 8 + 10 + 10
Total length of the wood = 48m
From the chord theorem we know that:
so:
Answer C.
Answer: b:degrees
Step-by-step explanation:
When measuring an angle you always measure them in degrees.