What is the value of y in the equation 1/8• y=4
2 answers:
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Answer:
If the walking time is greater than or equal to 38.225 hours, than it exceeds 95% probability that is lie in top 5%.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 30 hours
Standard Deviation, σ = 5 hours
We are given that the distribution of waking time is a bell shaped distribution that is a normal distribution.
Formula:
We have to find the value of x such that the probability is 0.95
Calculation the value from standard normal z table, we have,
Thus, if the walking time is greater than or equal to 38.225 hours, than it exceeds 95% probability that is lie in top 5%.
Given:
The inequality is
To find:
The value of x and then graph on the number line.
Solution:
We have,
Subtracting 19 from both sides, we get
It means all the real values of x which are less than or equal to 4 are in the solution set. So, an arrow approaches towards left from x=4 as shown in the below figure.
