Answer:
x8/9 i hope this helps you out
Step-by-step explanation:
C. perpendicular
they make right angles so they would be perpendicular
Answer:
Width = 5.5ft, Length = 8ft.
Step-by-step explanation:
Area of Rectangle = Length x Width
Let w be the Width of the rectangle.
From the information given from the question,
Length = 2w - 3 (3ft less than twice the width)
Area of Rectangle =
= 44
Now we can solve for w to find the dimensions.
(Quadratic Equations)
We can use the Quadratic formula to find w.
![w=\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}](https://tex.z-dn.net/?f=w%3D%5Cfrac%7B-b%2B%2F-%5Csqrt%7Bb%5E%7B2%7D-4ac%20%7D%20%7D%7B2a%7D)
Since a = 2, b = -3 and c = -44,
![w=\frac{-(-3)+/-\sqrt{(-3)^{2}-4(2)(-44) } }{2(2)} \\= 5.5 or -4 (reject)](https://tex.z-dn.net/?f=w%3D%5Cfrac%7B-%28-3%29%2B%2F-%5Csqrt%7B%28-3%29%5E%7B2%7D-4%282%29%28-44%29%20%7D%20%7D%7B2%282%29%7D%20%5C%5C%3D%205.5%20or%20-4%20%28reject%29)
We reject negative values here.
Therefore, the width of the Rectangle = 5.5ft
While the length of the rectangle = 2(5.5) - 3 = 11 - 3 = 8ft
To solve the
following problems, we use the binomial probability equation:
P (r) = [n!/(n-r)!
r!] p^r q^(n-r)
where,
n = total
number of households = 8
r = number of
sample
p =
probability of success = 65% = 0.65
q = probability
of failure = 0.35
A. r = 5
P (r=5) = [8!
/ 3! 5!] 0.65^5 0.35^3
P (r=5) =
0.28
B. r >5
P (r=6) = [8!
/ 2! 6!] 0.65^6 0.35^2
P (r=6) =
0.26
P (r=7) = [8!
/ 1! 7!] 0.65^7 0.35^1
P (r=7) =
0.14
P (r=8) = [8!
/ 0! 8!] 0.65^8 0.35^0
P (r=8) =
0.03
Therefore
total is:
P (r>5) = 0.26
+ 0.14 + 0.03 = 0.43
C. r ≤ 5
P (r ≤ 5) = 1
- P (r>5)
P (r ≤ 5) = 1
– 0.43
P (r ≤ 5) =
0.57
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