The square root of 144 is 12. So multiply 8.3333 by 12. You should get 99.9996.
Answer:
The upper 20% of the weighs are weights of at least X, which is 
, in which 
is the standard deviation of all weights and 
is the mean.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation , the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Upper 20% of weights:
The upper 20% of the weighs are weighs of at least X, which is found when Z has a p-value of 0.8. So X when Z = 0.84. Then
The upper 20% of the weighs are weights of at least X, which is , in which is the standard deviation of all weights and is the mean.
Answer:
14 is 25% of 56
Step-by-step explanation:
Assuming this is a 6-sided die:
(a) 1/6 = 0.167 or 16.7 %
(b) zero (numbers on the die are 1-6)
(c) 3/6 = 50% (can be 2, 4, or 6)
(d) 3/6 = 50% (of the numbers you could roll, 2, 3, and 5 are prime)
Answer:
The angle of elevation of the sun is 39⁰
Step-by-step explanation:
Given;
height of the tree, h = 96 ft
length of the shadow, L = 120 ft
|
| 96ft
|
|
θ------------------------------------
120ft
Completing this triangle to cut across the top of the tree gives you a right angled triangle with θ as the angle of elevation of the sun.
Apply trig-ratio to determine the angle of elevation of the sun;
tanθ = opposite side / adjacent side
tanθ = 96 / 120
tanθ = 0.8
θ = tan⁻¹(0.8)
θ = 38.7⁰
θ = 39⁰
Therefore, the angle of elevation of the sun is 39⁰
