Answer:
Maximum area possible
f(max) = 3906,25 ft²
Dimensions:
a = 62,5 ft
w = 62,5 ft
Step-by-step explanation:
Perimeter of the rectangular fencing P = 250 feet
And sides of the rectangle a and w (width of rectangle)
Then
A = a*w
2a + 2w = 250 ⇒ a = (250 -2w)/ 2 ⇒ a = 125 - w
f(w) = (125 - w ) *w f(w) = 125w - w²
Taking derivatives both sides of the equation
f´(w) = 125 - 2w f´(w) = 0 125 - 2w = 0
w = 125/2
w = 62,5 ft ⇒ a = 125 - 62,5
a = 62,5 ft
f(max) = ( 62,5)²
f(max) = 3906,25 ft²
I think it’s A. Don’t hate if it’s wrong please!
Answer:
Total probability is 0.1608
Explanation:
The Binomial Probability expression is:
∑(r=0 to n) ![C_{n,r} (P)^r ((-P)^{n-r})](https://tex.z-dn.net/?f=C_%7Bn%2Cr%7D%20%28P%29%5Er%20%28%28-P%29%5E%7Bn-r%7D%29)
where
n = number of attempts
r = successes
P = Probability of each success and
-P = Probability of each Failure
We will sum all the the attempts to achieve the sum of 1 but
For this problem, we are looking for only one condition which is - playing the game five time and winning twice so P =
and -P = ![\frac{5}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D)
So, our final solution is
= 0.1608 = 16.08%
Answer:
n = 3; enlargement
Step-by-step explanation:
The dashed-line figure is larger. That is the meaning of "enlargement."
Points on the dashed-line figure are 3 times the distance from point H as the corresponding point on the sold-line figure, so the scale factor is 3.
Answer:
$148.50.
Step-by-step explanation:
Hourly wage for time and a half = 11 * 1.5
=$16.50
For 9 hours she earns 16.50 * 9
= $148.50.