Answer:
ye^(2x) - 3e^(2x) = C or (y - 3)e^(2x) = C
Step-by-step explanation:
dy/dx + 2y = 6
This is a first order linear ODE.
p(x) = 2
Integrating factor: I(x) = e^(∫ 2 dx) = e^(2x)
e^(2x)(dy/dx + 2y) = 6e^(2x)
e^(2x) dy + 2ye^(2x) dx = 6e^(2x) dx
Integrate both sides of the equation.
ye^(2x) = 3e^(2x) + C
Thus, the general solution is ye^(2x) - 3e^(2x) = C or (y - 3)e^(2x) = C.
Answer:
2. 9, 8+9
3. 17-8=9, 17, 8, 9
4. 13-7=6
Step-by-step explanation:
It is shown as a sum of each digit multiplied by its matching place value<span> (units, tens, hundreds, etc.) For example: 4,265 = </span>4<span> x 1,000 + 2 x 100 + 6 x 10 + 5 x 1.</span>
Answer:
14/10
OR
7/5
Step-by-step explanation:
(7*2)/(2*5) = 14/10
(14/2) / (10/2) = 7/5
Answer:
A gestation length of 279 days represents the 18th percentile.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions 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 a certain breed of cattle, the length of gestation has a mean of 284 days and a standard deviation is 5.5 days.
This means that 
What length of gestation, rounded to the nearest whole number, represents the 18th percentile?
This is X when Z has a pvalue of 0.18. So X when Z = -0.915.




A gestation length of 279 days represents the 18th percentile.