This problem can be solve using the Binomial Distribution, it is a recurrence conveyance of the conceivable number of effective results in a given number of trials in each of which there is a similar likelihood of accomplishment.
Let be X: coffleton residents recognize the brand name
n = 10
p = 0.53
q = 0.47
P(X = 4) =
(10)
(4)*(0.53^4)*(0.47^6) = <span>0.00340</span>
You can use the definition:

Then if

we have

Then the derivative is

I'm guessing the second part of the question asks you to find the tangent line to <em>f(x)</em> at the point <em>a</em> = 0. The slope of the tangent line to this point is

and when <em>a</em> = 0, we have <em>f(a)</em> = <em>f</em> (0) = -2, so the graph of <em>f(x)</em> passes through the point (0, -2).
Use the point-slope formula to get the equation of the tangent line:
<em>y</em> - (-2) = 3 (<em>x</em> - 0)
<em>y</em> + 2 = 3<em>x</em>
<em>y</em> = 3<em>x</em> - 2
You need to be more specific. What did the two teachers receive, and what did Ms. Lopez receive? If you want us to help you, you have to give <em>numbers</em>.
The linear inequality
will not have a shared solution set with the graphed linear inequality. the correct option is D.
<h3>What is inequality?</h3>
Inequality is defined as the relation which makes a non-equal comparison between two given functions.
On a coordinate plane, a solid straight line has a negative slope and goes through (-2, 2) and (2, -8).
m = (-8 -2)/ (2 +2)
m = -10/ 4
m = -5/2
The line has an equation of y greater-than-or-equal-to negative five-halves x minus 3.

The linear inequality
will not have a shared solution set with the graphed linear inequality.
Thus, the correct option is D.
Learn more about inequality ;
brainly.com/question/14164153
#SPJ1