Answer:
12.4967 m
≈ 12.5 m
Step-by-step explanation:
From the solution diagram attached, to find /AB/, we apply sine rule:
AB/Sin 140° =AD/Sin 15°
AB = 10/Sin 15° x Sin 140°
= 24.8372 m
To calculate the height of the pole we will calculate BC first. Using the right angle triangle ∠ABC, we have:
Sin ∅ = BC/AB
Sin 25° = BC/ 24.8372
BC = 24.8372 Sin 25°
= 10.4967 m
The height of the pole = BC + 2.0
= 10.4967 + 2.0
= 12.4967
≈ 12.5 m
Answer:
-20 1/12
Step-by-step explanation:
Answer:
Reject H0
Step-by-step explanation:
Given :
H0: The frequencies are equal. H1: The frequencies are not equal
Category f0 A 10 B 30 C 30 D 10
Total f0 = (10 + 30 + 30 + 10) = 80
Expected frequency is the same for all categories :
Expected frequency = 1/4 * 80 = 20
χ² = Σ(observed - Expected)² / Expected
χ² = (10-20)^2 / 20 + (30-20)^2 /20 + (30-20)^2 / 20 + (10-20)^2 / 20
χ² = (5 + 5 + 5 + 5) = 20
Pvalue = 0.00017
Pvalue < α
1)7; divide by 7 2)-3; divide by 2 3)8; divide by -4 4)54; multiply by 6 5)80; multiply by -10 6)-6; divide by -9 7)-5; divide by -12 8)-40; multiply by 20 9)-90; multiply by 10 10)20 11)615; plug in 205 for R and 3 in T. multiply by 3
Answer:
B 25.2
Step-by-step explanation:
AB = AC - BC
= 51.8 - 26.6 = 25.2