Answer:
C. 20 feet
Step-by-step explanation:
Let x = width
Let y = length
If the length is at least 10 feet longer than the width:
⇒ x + 10 ≤ y
⇒ x ≤ y - 10
If the perimeter is to be no more than 100 ft:
⇒ 2x + 2y ≤ 100
⇒ x + y ≤ 50
⇒ x ≤ 50 - y
Equate the equations for x and solve for y:
⇒ y - 10 = 50 - y
⇒ 2y = 60
⇒ y = 30
Substitute found value of y into one of the inequalities for x:
⇒ x ≤ 30 - 10
⇒ x ≤ 20
Therefore, the maximum possible width of the fence is 20 feet.
f(x)=x-4f(3)=3-4so f(3)= -1
Answer:
A) 90.32%
B) 90.11%
C) 81.546 miles per hour
D)77.93%
Step-by-step explanation:
Given data:
speed = 73.7 miles/hour
standard deviation = 4.77 miles /hour
a) 
= P (z< 1.31)
= 0.90320 = 90.32%
b) 
= P (-2.872< z< 1.31)
= P (z<1.31) - P(z<-2.87)
= 0.90320 - 0.00205
= 0.90115 = 90.11%
c) P(X <X) = 0.95
z = 1.645

x = 81.546 miles per hour

= P (z> -0.775)
= 0. 0.7793 = 77.93%