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Question 6 : Find the probability that seven of 10 persons will recover from a tropical disease if we can assume independence and the probability is 0.80 that any one of them will recover from the disease
Math
charging and discharging characteristics of DC
(a) Here is the information about the circuit.
Capacitor = 100 nF , Resistor = 47 kΩ ,Supply voltage = 5 V
Charging characteristic for a series capacitive circuit:
v=v(1 − e−t/RC)
Investigate what the other terms in this expression mean.
Calculate the time constant for the circuit.
Use a spreadsheet to plot the charging curve over the range 0 to
20 ms (milliseconds).
Investigate the meaning of ‘time constant’ and from your graph
estimate a value. Compare this with your calculated one.
Differentiate the charging equation and find the rate of change of
voltage at 6 ms.
From your graph measure the gradient at 6 ms and compare this with
the calculated value.
(b) Now investigate the discharging characteristic of the circuit but with a 22 kΩ resistor
fitted.
Calculate and estimate the rate of change of voltage when t = T.
(a) Here is the information about the circuit.
Capacitor = 100 nF , Resistor = 47 kΩ ,Supply voltage = 5 V
Charging characteristic for a series capacitive circuit:
v=v(1 − e−t/RC)
Investigate what the other terms in this expression mean.
Calculate the time constant for the circuit.
Use a spreadsheet to plot the charging curve over the range 0 to
20 ms (milliseconds).
Investigate the meaning of ‘time constant’ and from your graph
estimate a value. Compare this with your calculated one.
Differentiate the charging equation and find the rate of change of
voltage at 6 ms.
From your graph measure the gradient at 6 ms and compare this with
the calculated value.
(b) Now investigate the discharging characteristic of the circuit but with a 22 kΩ resistor
fitted.
Calculate and estimate the rate of change of voltage when t = T.
Obtain first nd second derivative of f(x)=x^2sin y+ y^2cos x
Math
The function f(x) satisfies the equation f(x) = f(x−1)+f(x+1) for all values
of x. If f(1) =1 and f(2) = 3, what is the value of f(2013)?
of x. If f(1) =1 and f(2) = 3, what is the value of f(2013)?
Math
There are five people standing on a line: A, B, C, D and E. Each is asked how
many people standing before them are taller than they are, and the replies from
each were respectively: 0, 1, 1, 0 and 1. Sort these five people according to their
height.
many people standing before them are taller than they are, and the replies from
each were respectively: 0, 1, 1, 0 and 1. Sort these five people according to their
height.
Prove or disprove the following statement.
“Let p and q be positive integers, if p mod 4 = 1 and q mod 4 = 2, then pq mod 4 = 2.”
“Let p and q be positive integers, if p mod 4 = 1 and q mod 4 = 2, then pq mod 4 = 2.”
Math
Infinity Roy made an stadium with infinite number of seats. Where all the seats
are numbered as 1,2,3……… For a special guest stadium committee take the
decision to transfer the spectators from nth numbered seat to n+1th numbered seat
For this they refund him{(1÷n)-(1÷(n+1)) } dollar . How many dollar stadium committee needs
to transfer seat by this process
are numbered as 1,2,3……… For a special guest stadium committee take the
decision to transfer the spectators from nth numbered seat to n+1th numbered seat
For this they refund him{(1÷n)-(1÷(n+1)) } dollar . How many dollar stadium committee needs
to transfer seat by this process
Two points D and E are taken inside the triangle ABC such as <ABD = <EBC
From the point D two perpendicular lines DF and DG are drawn to AB and BC
respectively . From the point E two perpendicular lines EH and EI are drawn to
AB and BC respectively . DF=7,DG=8,EI=15, EH=?
From the point D two perpendicular lines DF and DG are drawn to AB and BC
respectively . From the point E two perpendicular lines EH and EI are drawn to
AB and BC respectively . DF=7,DG=8,EI=15, EH=?
Exercise 2. In a city, 65% of people drink coffee, 50% drink tea, and 25%
both. What is the probability that
(1) a person chosen at random will drink at least one of coffee or tea?
(2) a person will drink neither?
both. What is the probability that
(1) a person chosen at random will drink at least one of coffee or tea?
(2) a person will drink neither?
A random sample of 100 record shops found that the average weekly sale of a particular record was 260 copies. With standard deviation of 96. Find the 95% confidence interval to estimate the true average sale for all shops.
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#333702 on Dec 2022
#333702 on Dec 2022