Answer:
combined velocity of the system = 0.033 m/s.
Step-by-step explanation:
taking the bullet and block as single system since there is no external force involved momentum is conserved .
initial momentum of the bullet = mv
where m is the mass of bullet and v is velocity of bullet.
and initial momentum of block = 0 since its velocity is 0.
therefore initial momentum of the system = mv
= 0.005×40
= 0.2
when the bullet stick of together with the block let the combined velocity of the system be V
therefore applying conservation of momentum
mv = (M+m)V
0.2=(6+0.005)V
therefore V = 0.033 m/s
Answer:
The standard deviation reduces when sample size (n) increases
Step-by-step explanation:
From the above information given, we have that mean = 75.5
Standard deviation = 3.5
But Standard deviation = √summation (x-u)/n
This simply implies that when sample (n) is increased there would be a reduction in the standard deviate.
Adding the coordinates of two points together and dividing them by two gives you back the midpoint of the segment.
i.e. the x coordinate for the midpoint is (-2+(-10))/2=-6
the y coordinate for the midpoint is (7+(-1))/2=3
Hence, the midpoint is (-6,3)
Answer:
10 units long
Step-by-step explanation:
We need to find the distance from the origin (0, 0) to the point (-3, -4), that will be a radius of the circle.
Use the distance formula: d = √[(x2 - x1)² + (y2 - y1)²]
Plug in the values from the 2 points we are given...
d = √[(-3 - 0)² + (-4 - 0)²]
d = √[(-3)² + (-4)²]
d = √[ 9 + 16 ]
d = √25
d = 5
The radius is 5, therefore the diameter is 10. (the diameter is always twice the length of the radius)
Answer:
Step-by-step explanation:
N= 100+n(10)