Answer:
-2 m/s^2
Step-by-step explanation:
Just as you would calculate the velocity when a body moves from point A to point B in a time T, we are going to calculate the acceleration as the difference of the velocities (final - initial) and divide it by the time it took:
Velocity_final = 10 m/s
Velocity_initial = 20 m/s
Time = 5 s
acceleration = (Velocity_final - Velocity_inital)/Time
= (10 m/s - 20 m/s)/5 s
= (-10 m/s) / 5s
= -2 m/s^2
The acceleration in m/s^2 is -2
Answer:
Lower limit: 113.28
Upper limit: 126.72
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

Middle 60%
So it goes from X when Z has a pvalue of 0.5 - 0.6/2 = 0.2 to X when Z has a pvalue of 0.5 + 0.6/2 = 0.8
Lower limit
X when Z has a pvalue of 0.20. So X when 




Upper limit
X when Z has a pvalue of 0.80. So X when 




Answer: An article was sold at a 20% discount, at Rs. 400. What was its marked price?
Let M denotes the required marked price of the given article.
Hence from above data we get following relation,
(1 - 20/100)*M = 400
or (4/5)*M = 400
or M = (5/4)*400 = 500 (Rs) [Ans]
Step-by-step explanation: