Answer:
4 real zeros, up on left, up on right
Step-by-step explanation:
The positive coefficient of x^4 tells you the graph will open upward (up on left, up on right). Descarte's rule of signs tells you there will be 0 or 2 positive real roots and 0 or 2 negative real roots. Based solely on end-behavior, the appropriate choice is the last one: ... up on left, up on right.
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<em>More about the zeros</em>
The sum of coefficients is zero, indicating x=1 is a root (zero). Hence there will be 2 positive real roots. Changing the signs of the coefficients of odd-degree terms also gives a sum of coefficients that is zero, indicating x=-1 is a root and that there are 2 negative real roots. At this point, you have enough information to factor the function completely, if you want. You also know there are 4 real roots.
Answer:
y = 1.33
Step-by-step explanation:
What you could do is :
x-1x = 2y + 1x-1x + y = 4
get rid of the x
>>> 2y + y = 4
then combine the like terms or y:
2y + y
>>> 3y = 4
finally: divide 4/3
3y/3= 4/3
>>> y = 1.33
Hope it Helps!
Answer:
A. 0.62%
B. 28 months
Step-by-step explanation:
A. Calculation for what percentage of total production will the company expect to replace
Let x represents the distribution of life times
Let mean be 34 months
Let standard deviation be 4 months.
Based on the information the full refund on any defective watch for 2 years will represent 24 months (2 years *12 months).
First step
P(X<24)
= p(x-mean/ standard deviation< 24-34/4)
= p(z< -10/4)
=P(z<-2.5)
Second step is to Use the excel function to find NORMSDIST(z) of P(z<-2.5)
NORMSDIST(z)=0.62%
Therefore the percentage of total production will the company expect to replace will be 0.62%
B. Calculation for how much the guarantee period should be
First step
P(X<x)=0.06
P(x-Mean/Standard deviation < x-34/4) = 0.06
Second Step is to Use excel function
P(z<x-34/4) = (Normsinv(0.06)
x-34/4 = -1.555
Now let calculate how much the guarantee period should be
x = -6.22+34 months
x = 27.78
x = 28 months (Approximately)
Therefore the guarantee period should be 28 months
The simplified probability would be 12/91.
There are 4 green jelly beans out of a total of 14 jelly beans. The probability for the first bean would be 4/14.
Once the first jelly bean is removed, the probability that the second jelly bean would be red is 6/13 (the denominator decreases by 1 because of the first jelly bean that did not get put back).
Together the probability is (4/14)(6/13) = 24/182, which then simplifies to 12/91.
