(Middle school math) I just need to know the probabilities for letter a. Thank you.
2 answers:
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Answer:
Variance =9.2983, 27.6927
Standard deviation = 3.0493, 5.2624
Step-by-step explanation:
n = 20
S = 14.75
X² = chisquare
N-1 = degree of freedom
Alpha = 0.1
Alpha/2 = 0.1/2 = 0.05
1-0.1/2 = 0.95
Using statistics table
X² 19,0.05 = 30.14
X² 19, 0.95 = 10.12
A. 19(14.75)/30.14 , 19(14 75)/10.12
= 9.2983, 27.6927 for the variance of the population
B. Standard deviation = square root of variance
= √9.2983, √27.6927
= 3.0493, 5.2624
Please use attachment for better understanding
Answer:
8.7°
Step-by-step explanation:
The above problem can be represented by a right angled triangle with height of 7 m, hypotenuse = AB.
The base of the triangle is gotten by finding the diagonal of the road. That is using Pythagoras theorem:
base² = 43² + 15²
base² = 2074
base = 45.54 m
Using trigonometric function to find angle A:
tan(A) = base / height
tan(A) = 45.54 / 7
tan(A) = 6.506
A = tan⁻¹ (6.506)
A = 81.3°
Angle of depression = 90° - A = 90 - 81.3
Angle of depression = = 8.7°
