Suppose 2/3 of people surveyed like the new trial flavor of chips. How many people would you have to select randomly, on average
1 answer:
You might be interested in
Answer:
The polynomial function
To determine the multiplicity of 0, -2, -4, 5.
The multiplicity of a root is the number of times the root appears.
First find the root of the equation, set the function equals to zero.
therefore, the root of this function are, x=0,-2, -4, 5
To find the multiplicity of the roots:
A factor of x would have a root at x=0 with multiplicity of 1
similarly, x=-2 with multiplicity of 3
x=-4 with multiplicity of 2
x=5 with multiplicity of 4.
Answer:
so the limits are 2 and 9
Step-by-step explanation:
We want to express as a integral. To do this, we have to identify
as a Riemann Sum that approximates the integral. (taking the limit makes the approximation equal to the value of the integral)
In general, to find a Riemann sum that approximates the integral of a function f over an interval [a,b] we can the interval in n subintervals of equal length and approximate the area (integral) with rectangles in each subinterval and them sum the areas. This is equal to
, where
is a selected point of the subinterval.
In particular, if we select the ending point of each subinterval as the , the Riemann sum is:
.
Now, let's identify this in .
The integrand is x² so this is our function f. When k=n, the summand should be because the last selected point is b. The last summand is
thus b=9 and b-a=7, then 9-a=7 which implies that a=2.
To verify our answer, note that if we substitute a=2, b=9 and f(x)=x² in the general Riemann Sum, we obtain the sum inside the limit as required.