Answer:
The scores above 1.08 standard deviation from the mean are publicly recognized.
Step-by-step explanation:
We are given the following information in the question:
Mean = μ
Standard Deviation = σ
We are given that the distribution of score is a bell shaped distribution that is a normal distribution.
Formula:
We have to find the value of x such that the probability is 0.14
Calculation the value from standard normal z table, we have,
Thus, scores above 1.08 standard deviation from the mean are publicly recognized.
Answer: rate of train A = 120 km/h
rate of train B = 101 km/h
Step-by-step explanation:
Let x = the speed of train A
Let y = the speed of train B
One train travels 19 km/h slower than the other. Let train B be the slower train. Therefore,
x = y + 19 - - - - - - - - - -1
Recall
Speed = distance/time
Distance = speed × time
If they meet in 3 hours, it means that train A has travelled a distance of
x × 3 = 3x km
And train B has travelled a distance of y × 3 = 3y km
Train A and Train B were 663 kilometers apart when they left their respective destinations. They left at the same time and travelled towards each other. This means that if they meet in 3hours time, they must have covered a total of 663 km. Therefore,
3x + 3y = 663 - - - - - - - - - 2
Substituting x = y + 19 into equation 2, it becomes
3(y + 19) + 3y = 663
3y + 57 + 3y = 663
6y + 57 = 663
6y = 663 - 57 = 606
y = 606/6 = 101 km/h
x = y + 19 = 101 + 19
x = 120 km/h
6 1/3
6 10/3 = 9 1/3
9 1/3 divided by 6 1/3 = 1.47368421053
