Answer:
The coefficient of y is -2
Step-by-step explanation:
x + 2y=-6
- 2y -2y Subtract 3y from both sides
x = -2y - 6 This equation is solved for x
The coefficient of y is -2
Answer:
Looks like the scale factor is 1/3.
Step-by-step explanation:
<em>(In this dilation, the green image is polygon ABCDE, and the red image is polygon A'B'C'D'E'. The red image is the resulting image after said dilation.)</em>
A scale factor greater than one enlarges an image, and a scale factor between zero and one shrinks an image, so that rules out options 2 (SF = -3) and 3 (SF = 3).
A negative scale factor would end up in an image opposite the center of enlargement, so that eliminates option 4 (SF = -1/3).
So that means that the scale factor is option 1 (SF = 1/3)!
0.05 X 10 = .5 because 5 x 10 is 50, and you add the decimal place.
I hope this helps you!
Answer:
- boat: 16 mph
- current: 4 mph
Step-by-step explanation:
speed = distance / time
The rate downriver is (60 mi)/(3 h) = 20 mi/h.
The rate upriver is (60 mi)/(5 h) = 12 mi/h.
The rate of the boat in still water is the average of these:
(20 +12)/2 mi/h = 16 mi/h
The rate of the current is the difference between the boat speed and actual speed:
16 mi/h - 12 mi/h = 4 mi/h
Answer : 0.0129
Step-by-step explanation:
Given : Based on FAA estimates the average age of the fleets of the 10 largest U.S. commercial passenger carriers is 
years and standard deviation is 
years.
Sample size : 
Let X be the random variable that represents the age of fleets.
We assume that the ages of the fleets of the 10 largest U.S. commercial passenger carriers are normally distributed.
For z-score,
For x=14
By using the standard normal distribution table , the probability that the average age of these 40 airplanes is at least 14 years old will be :-
Hence, the required probability = 0.0129
