Answer:
And we can find this probability with this difference:
If we use the normal standard table or excel we got:
And that represent 95% of the data. so then the percentage below 2450 is 2.5% and above 4390 is 2.5 %
Step-by-step explanation:
Let X the random variable that represent the birth weights of a population, and for this case we know the distribution for X is given by:
Where 
and 
We are interested on this probability
And we can use the z score formula given byÑ
If we apply this formula to our probability we got this:
And we can find this probability with this difference:
If we use the normal standard table or excel we got:
And that represent 95% of the data. so then the percentage below 2450 is 2.5% and above 4390 is 2.5 %
Because this shape has 2 right angles, we can confirm that it has one set of parallel sides and is a trapezoid. Therefore, use the formula for area of a trapezoid, .5(b1+b2)(h)
.5(1+6)(12)
.5(7)(12)
42 units^2
The solution to the given differential equation is yp=−14xcos(2x)
The characteristic equation for this differential equation is:
P(s)=s2+4
The roots of the characteristic equation are:
s=±2i
Therefore, the homogeneous solution is:
yh=c1sin(2x)+c2cos(2x)
Notice that the forcing function has the same angular frequency as the homogeneous solution. In this case, we have resonance. The particular solution will have the form:
yp=Axsin(2x)+Bxcos(2x)
If you take the second derivative of the equation above for yp , and then substitute that result, y′′p , along with equation for yp above, into the left-hand side of the original differential equation, and then simultaneously solve for the values of A and B that make the left-hand side of the differential equation equal to the forcing function on the right-hand side, sin(2x) , you will find:
A=0
B=−14
Therefore,
yp=−14xcos(2x)
For more information about differential equation, visit
brainly.com/question/18760518
Answer:
y=11x+12
Step-by-step explanation:
y = 6(x + 2) + 5x
y=6x+12+5x
y=11x+12
in slope interception form= y=mx+c
y=11x+12
