How many different arrangements of 7 letters can be formed if the first letter must be W or K (repeats of letters are allowed)?
1 answer:
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Answer:
The answer is ""
Step-by-step explanation:
The rectangle should also be symmetrical to it because of the symmetry to the y-axis The pole of the y-axis. Its lower two vertices are (-x,0). it means that
and (-x,0), and (x,0). Therefore the base measurement of the rectangle is 2x. The top vertices on the parabola are as follows:
The calculation of the height of the rectangle also is clearly 16-x^2, (-x,16,-x^2) and (x,16,-x^2).
The area of the rectangle:
The local extremes of this function are where the first derivative is 0:
Simply ignore the negative root because we need a positive length calculation
It wants a maximum, this we want to see if the second derivative's profit at the end is negative.
Answer:
a) 0.023
b) 0.286
c) 10 students will be unable to complete the exam inthe allotted time.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 80 minutes
Standard Deviation, σ = 10 minutes
We are given that the distribution of time to complete an exam is a bell shaped distribution that is a normal distribution.
Formula:
a) P(completing the exam in one hour or less)
P(x < 60)
Calculation the value from standard normal z table, we have,
b) P(complete the exam in more than 60 minutes but less than 75 minutes)
c) P(completing the exam in more than 90 minutes)
P(x > 90)
Calculation the value from standard normal z table, we have,
15.87% of children of class will require more than 90 minutes to complete the test.
Number of children =
Approximately, 10 students of class will require more than 90 minutes to complete the test.