Answer:
A. width = x - 4.5
B. 111 = 2(x + (x -4.5))
Step-by-step explanation:
A. The width is 4.5 meters shorter than x, so is x -4.5.
__
B. The perimeter is twice the sum of length and width. It is 111 meters, so an equation for it could be ...
111 = 2(x + (x -4.5))
4x + 6 < 3x - 5 is our given inequality
4x < 3x -11 by subtracting 6 on both sides of the inequality sign
x < -11 by subtracting 3x on both sides.
Thus, x < -11 -- choice D -- is the solution.
It the wiper blade (and arm) made a full rotation, 2 circles would be formed.
One small circle with radius
b, and a larger circle with radius
a+b.
The areas of these 2 circles are respectively:

and

120° is 1/3 of a complete angle 360° which form a circle, so the areas formed by the arm of length b, and the arm + the wiper blade (a+b) are:

and

in squared respectively.
the actual wiped area is

(in squared)
Area of the window is 54*24= 1296 (in squared)
thus, the ratio of the wiped area to the whole area of the window is 351.7/1296=0.271
Converted to percentages, this is 27.1%
Answer: 27.1%
3 hours and 55 minutes - 15 minutes would leave 3 hours and 40 minutes. You figure there’s 20 minutes 3 times in an hour so 3x3 is 9 + the extra 2 20 minute periods from the 40 minutes. So 11 batches of cookies, 48x11= 528. Amy made 528 cookies.
Answer:
0.1587
Step-by-step explanation:
Here, mean=μ=100 and standard deviation=σ=16.
We have to find P(average MDI scores of 64 children > 102)=P(xbar>102).
n=64
μxbar=μ=100
σxbar=σ/√n=16/√64=16/8=2
P(xbar>102)=P((xbar-μxbar)/σxbar>(102-100)/2)
P(xbar>102)=P(z>1)
P(xbar>102)=P(0<z<∞)-P(0<z<1)
P(xbar>102)=0.5-0.3413
P(xbar>102)=0.1587
Thus, the probability that the average is greater than 102 is 15.87%