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%.
Its A trapezium
For Calculations Refer to the attachment
Answer:
f(x):
g(x)
Step-by-step explanation:
When a function is of the form:
The equation of the axis of symmetry is
The given function is
We can see that h=-4
Hence the equation of axis of symmetry is
From the graph, the axis of symmetry of h(x) is the vertical line that divides the parabola into two congruent halves.
This line is
Y/x=k 48/8=6=k k is the constant y/4=6 y=24
Area = Length * Width = l * w
l = x + 2
w = 2x - 5
Area = (x + 2)(2x - 5) = 56
Area = 2x^2 -x - 10 = 56
Area = 2x^2 - x - 66 = 0 Now you have to factor this thing.
Area = (2x + 11)( x - 6) = 0 This is more or less done by guessing.
2x + 11 = 0 can't work. x would be negative.
x - 6 = 0
x = 6.
Check
=====
l = x + 2
l = 6 + 2
l = 8
w = 2*x - 5
w = 2*6 - 5
w = 12 - 5
w = 7
l*w = 8*7 = 56. It checks.
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