Answer:
2x² - 3x + 6 = 0
a = 2 b = -3 c = 6
delta = b² - 4ac = 9 - 4.2.6 = -39
-2/2 and -2/-4 hoppeee it helps
We know the perimeter formula would be 1200=2x+2y. And the area will be A=x*y
We can to take the derivative of the area formula to find where it is a max but we must first substitute something in from the first formula so we only have one variable.
1200-2x=2y
600-x=y
A=(x)*(600-x)
A=600x-x^2
Now we take the derivative:
A'=600-2x (set equal to 0 and solve)
0=600-2x
2x=600
x=300
Then when we plug this into the perimeter formula, we can solve for y
1200=2x+2y
1200=2(300)+2y
1200=600+2y
600=2y
y=300
So both the length and width are 300 yards, and the area would be 90,000 square yards
Hope this helps
Complete question :
When Hiroto is writing, there is 0.92 probability that there will be no spelling mistakes on a page. One day, Hiroto writes an essay that is 11 pages long.
Assuming that Hiroto is equally likely to have a spelling mistake on each of the 11 pages, what is the probability that he will have a spelling mistake on at least one of the pages?
Answer:
0.60
Step-by-step explanation:
The question meets the requirement for a binomial probability distribution :
Recall:
P(x = x) = nCx * p^x * q^(n-x)
Given :
Probability of making a spelling mistake = 1 - p(not making) = 1 - 0.92 = 0.08
Hence,
p = 0.08 ; q = 0.92
n = 11
P(x ≥ 1) = 1 - p(x = 0)
P(x = 0) = 11C0 * 0.08^0 * 0.92^11
P(x = 0) = 1 * 1 * 0.3996373778857415671808
P(x = 0) = 0.399
P(x ≥ 1) = 1 - p(x = 0)
P(x ≥ 1) = 1 - 0.399
P(x ≥ 1) = 0.601
P(x ≥ 1) = 0.60
