Check picture below, radius = r = 15, thus
This is relatively easy because that 25 is a perfect square, whose (square) roots are 5 and -5. x^2-10x+25 = (x - 5)(x - 5). Note how (-5)(-5) = +25, and how -5x - 5x = -10x.
The roots are { (x-5), (x-5) }.
Answer:
413.126
Step-by-step explanation:
Given a normal distribution :
Mean (m) = 405
Standard deviation (s) = 19
Weight of fruit will be greater than how many grams (x) if picked 17% of the time:
P(Z > x) = 0.17 ;
The Zscore for P(Z > x) = 0.17 equals 0.954 (Z probability calculator)
Zscore = (x - m) / s
0.954 = (x - 405) / 19
0.954 * 19 = x - 405
18.126 = x - 405
x = 18.126 + 405
x = 423.126
Weight will be greater than 423.126
Answer:
<h2>
4773 peoples.</h2>
Step-by-step explanation:
Given the number of people d, in thousands applying for medical benefits per week in a particular city c modeled by the equation d(t)=2.5 sin(0.76t+0.3)+3.8 where t is the time in years, the maximum number of people tat will apply will occur at d(t)/dt = 0
Differentiating the function given with respect to t, we will have;

First we need to know that differential of any constant is zero.

If
then;

To know the maximum number of people in thousands that apply for benefits per year in the city, we wil substitute the value of t = 29.75 into the modeled equation

Since d is in thousands, the maximum number of people in thousands will be 4.7732*1000 = 4773.2 which is approximately 4773 peoples.
The correct answer is the letter B