A vending machine accepts one rupee, two rupee and five rupee coins. If I bought a packet
of chips and a bottle of mango juice for 25, how many different combinations of coins can
I make to pay the amount using at least one coin of each denomination? Find the least and
the maximum number of coins that can be used to make the amount.
Answers
Step-by-step explanation:
It has given that, In an experiment to measure the diameter of a wire as measured by a screw gauge was found to be 0.026 cm, 0.028 cm, 0.027 cm, 0.024 cm, 0.027 cm, 0.029 cm.
To find :
mean value of the diameter
mean absolute error
relative error
percentage error of the above measurements.
solutiom : Observations are : 0.026 , 0.028, 0.027, 0.024, 0.027 , 0.029
Mean = sum of observations/number of observations
= (0.026 + 0.028 + 0.027 + 0.024 + 0.027 + 0.029)/6
= 0.0268 ≈ 0.027 cm
∴ mean value = 0.027 cm
Now, y₁ =|0.026 - 0.027| = 0.001
y₂ = |0.028 - 0.027| = 0.001
y₃ = |0.027 - 0.027| = 0.000
y₄ = |0.024 - 0.027| = 0.003
y₅ = |0.027 - 0.027| = 0.000
y₆ = |0.029 - 0.027| = 0.002
Now, absolue error ,∆y = (y₁ + y₂ + y₃ + y₄ + y₅ + y₆)/6
= (0.001 + 0.001 + 0.000 + 0.003 + 0.000 + 0.002)/6
= 0.007/6
= 0.00116
Now, relative error = absolute error/mean value
= 0.00116/0.027
= 0.04296
percentage error = relative error × 100
= 0.04296 × 100 = 4.296 ≈ 4.3 %