
has characteristic equation

with roots at
. Then the characteristic solution is

For the particular solution, consider the ansatz
, whose first and second derivatives vanish. Substitute
and its derivatives into the equation:

Then the general solution to the equation is

With
, we have

and with
,

Then the particular solution to the equation is

Answer:
0.8749
Step-by-step explanation:
Problems of normally distributed samples can be 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:

The probability that Z is less than 1.15 is:
This is the pvalue of Z = 1.15, which is 0.8749.
20
Step-by-step explanation:
Step 1:
Let the number be 50 and to find 40% of 50 is given interms of expression as follows
To express the percentage the following strategy is used
Eg: 40% = 
∴ To express 40% of 50 is

Step 2:
On simplification the above expression we could get

= 20
The answer for this question is B.