Answer:
x^3-x^2+1
Step-by-step explanation:
u(x)=x^5-x^4+x^2
v(x)=-x^2
(u/v)(x) = (x^5-x^4+x^2) /x^2
= (x^5/x^2) - (x^4 /x^2) +(x^2/x^2)
= x^(5-2) - x ^(4-2)+ x ^(2-2)
=x^3-x^2+1
Answer:
And we can find this probability with the normal standard table or excel and we got:
And for this case is not neccesary applt the finite population correction factor since the distribution for the random variable is assumed known and normal
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the length of time 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 the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with the normal standard table or excel and we got:
And for this case is not neccesary applt the finite population correction factor since the distribution for the random variable is assumed known and normal
Answer:
0.4875
Step-by-step explanation:
Long division process:
_<u>0.4875</u>__
800|39.00000
-<u>3200</u>
7000
-<u>6400</u>
6000
-<u>5600</u>
4000
-<u>4000</u>
0
Answer:
p = -0.05m + 22
Step-by-step explanation:
As given in question,
The relation between the price and demand can be given by,
where is p is price and x is demand.
Since in order to sell 300 cards the price has to be fix at $7.
So,
7 = 300m+b <u> </u> (1)
And for every additional card they need to drop the price by $0.05.
So,
7-0.05 = 301m+b
=>6.95 = 301m + b<u> </u> (2)
Subtracting equation (1) from equation (2), we will have
6.95 - 7 = 301m - 300m
=>m = -0.05
By putting the value of m in equation (1), we get
7 = 300.(-0.05)+b
=> b = 22
So, the linear equation that show the relation between price and demand is given by
p = -0.05m + 22
Answer:
A nice way to show it is through the unit circle.
In the unit circle, the point at angle theta from the origin has a y value of sin theta.
If you rotate a point 360-theta degrees from the origin, that is like rotating it theta degrees "backwards", or downwards, which is going to yield the same exact point, reflected through the x-axis. In other words, the y value, or sin(360-theta), is exactly -sin(theta).