The probability is 0.006, or 0.6%.
This is binomial; there are a fixed number of trials (10), the events are independent (the chances of one occurring do not affect the chances of the other occurring), and there are two outcomes (either right or wrong).
He must get 6 of the 10 questions correct, so k is 6 and n is 10. The probability of getting a question correct is 1/5=0.2; the probability of getting a question incorrect is 4/5=0.8.
m₁ = mass hanged initially = 0.2 kg
x₁ = initial stretch in the spring = 8 cm = 0.08 m
k = spring constant of the spring
the weight of the mass hanged is balanced by the spring force by the spring hence
Spring force = weight of mass hanged
k x₁ = m₁ g
k (0.08) = (0.2) (9.8)
k = 24.5 N/m
m₂ = mass hanged later = 0.5 kg
x₂ = final stretch in the spring = ?
k = spring constant of the spring = 24.5 N/m
the weight of the mass hanged is balanced by the spring force by the spring hence
Spring force = weight of mass hanged
k x₂ = m₂ g
(24.5) x₂ = (0.5) (9.8)
x₂ = 0.2 m = 20 cm
Answer:
C(-3,1)=X1,Y1
D(5,6)=X2,Y2
Step-by-step explanation:
(distance)^2=(X2-X1)^2+(Y2-Y1)^2
=64+25
=89
9514 1404 393
Answer:
y = 8
Step-by-step explanation:
It can be useful to write down the values of corresponding parts of the figures. This can help you see the ratio between corresponding measures. Here, we're concerned with sides.
AB = ?, FE= 6
BC = 10, EC = 5 . . . . . a ratio of 2:1
CD = ?, CG = ?
DA = y, GF = 4
So, the proportionality of the sides in these similar figures means ...
y/4 = 10/5
y = 4×10/5
y = 8 . . . . multiply by 4