1. I like to take the step-by-step approach here. We need to find probability that there are exactly 2 of 8 days \(\text{(}^8C_{2}\text{)}\) on which martin is playing computer games when his friend phones. So there are 2 days when he calls in his gaming time and 6 days when he might call...
There are two unknowns here, starting speed \(u\) and acceleration \(a\). Using \(s=ut+\frac{1}{2}at^2\), we’re given that in 12 seconds from X to Y:
\(\qquad 40=12u+\frac{1}{2}12^2a=12u+72a\)
and in 18 seconds from X to Z:
\(\qquad 80=18u+\frac{1}{2}18^2a=18u+162a\)
Multiplying the first...
a) Since you have points P and Q, their equation would be in the form \(y=mx+c\) where
\(m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)
\(m=\frac{5-3}{9-2}=\frac{2}{7}\)
Substituting back into \(y=mx+c\) and substituting x and y coordinates from either P or Q should give \(c=\frac{17}{7}\).
Thus equation...
The formula I used earlier is derived from this under special conditions for elastic collisions.
Since velocity is a vector quantity, the signs need to be changed with directions.
The pulse sent by transmitter is reflected and returns to the transmitter so it takes it \(6.3\mu s\times2\) to...
Since the collision is perfectly elastic, we can use
\(v_{1}i+v_{1}f=v_{2}i+v_{2}f\) (You might have a different variant of this formula depending on your board)
Substituting in our values, we get
\(6+2=0+v_{2}f\)
And therefore,
\(v_{2}f=8\)
Hope this helps!
From a velocity-time graph, the acceleration at time t is given by the gradient at time t. This gives the instantaneous acceleration at that time.
In this graph, the gradient and hence the acceleration is changing.
Note that the gradient at time t = 3s is obtained by drawing a tangent at that...
Answer a(i)
The work per unit of charge required to move a charge from a reference point to a specified point, measured in joules per coulomb or volts.
Answer a(ii)
\(\text{The electric field}=-\text{ potential gradient}\)
It comes from expressing energy changes in two different ways.
You can...
From marking scheme 2058/01/M/J/05/Q4:
The Qur'an is the first source of law.
Its clear teachings are followed without question.
Where its teachings are undetailed the Hadith are employed.
The Hadith fill out the Qur'an and add teachings where it is silent.
For Further Mathematics, I'd rather watch lectures/videos on YouTube as its mostly Undergraduate Year 1 and 2 Math (from a 4 year degree) and most of the printed resources are just not on par!
If you have any questions or need help with anything for Further Mathematics, feel free to ask here and...
Hi Farzeen, Welcome to XtremePapers (aka XPRS)!
We have plenty of threads with topical papers for most subjects though these are user contributed so might be incomplete. Feel free to search through the forums and you should find plenty of topical papers.
Are you giving any papers in this...
To test the hypothesis, we generally need to find the z-score also known as Test Statistic and then use it to find the p-value.
If \(p>0.05\), this means that the mean values have no difference and the hypothesis is rejected.
Substituting your values in this online calculator, we get...
_noorulhudaa_ Okay I checked further and the above information actually applies to both Cambridge O Level Pakistan Studies (2059) and Cambridge IGCSE Pakistan Studies (0448).
_noorulhudaa_ I see in another post, you mentioned you are doing IGCSE.
Please note the above information is for Cambridge O Level Pakistan Studies (2059) might not apply to Cambridge IGCSE Pakistan Studies (0448).
Can you please confirm if you're doing IGCSE?