Answer:
1. The scale factor here is 1.5
2. The scale factor here is 2/3
Step-by-step explanation:
Here, we shall be dealing with scales of triangles.
we have two triangles;
ABC and DEF
longest sides are in the ratio;
12 : 8
1. What scale factor translates DEF to ABC?
The ratio of the length can be beaten down to 3:2
So therefore, we can see that by multiplying the sides of of DEF by 1.5, we can arrive at the sides of ABC
So the scale factor here is 1.5
2. This is like the other way round of what we have above.
By multiplying the sides of ABC by 2/3, we shall have the sides of DEF
As we know y=3/4x-3
Let's put it in the second equation
3/4x-3=1/4x+1
3/4 x -1/4 x = 1+3
2/4 x = 4
X= 4*4/2
x=8
Put x= 8 in first equation
y= 3/4 *8 -3
y=6-3
y=3
Check the answer
3=3/4 *8 -3
3=6-3
3=3
Correct
So(y, x) = (3,8)
Because x=8 and y=3
X^4 is the simplified answer
Answer:
The average rate of change is 4.
Step-by-step explanation:
It is 4 because when you do the formula to find the rate of change it comes out to be 4.
Answer:
The mean is 24.205
Step-by-step explanation:
Firstly, we need to get the z-score
From the question, the probability we have is the probability that commuters take more than 22 minutes to commute one-way
So the probability we had was;
P( x > 22)
So we need the z-score corresponding to 63.70% or simply 0.637
We can use the standard normal distribution table to get this
Mathematically, from the standard normal distribution table this is -0.35
z-score = (x- mean)/SD
-0.35 = (22-mean)/6.3
22-mean = -2.205
mean = 22 + 2.205 = 24.205
