Answer:
3.162 units
Step-by-step explanation:
First identify the points that undergo transformation
You have;
A = (0,0) and B =(1,3)
The transformation is T: (x,y)= (x+2, y+1), this means to get the image you add the x coordinate of the object to 2, and the y coordinate to 1.
<u>Finding coordinates of the image points A' and B' </u>
A'= (0+2,0+1) = (2,1)
B'=(1+2, 3+1)=(3,4)
<u>Finding the distance A'B'</u>
The formula for distance d is
where
x₁=2
x₂=3
y₁=1
y₂=4
d=distance between two points
Applying the formula
The distance A'B' is √10 =3.162 units
Answer:
Step-by-step explanation:
4x -8 = 34
4x = 42
x = 42/4 = 21/2 = 10.5
Answer:
a. The mean would be 0.067
The standard deviation would be 0.285
b. Would be of 1-e∧-375
c. The probability that both of them will be gone for more than 25 minutes is 1-e∧-187.5
d. The likelihood of at least of one of the taxis returning within 25 is 1-e∧-375
Step-by-step explanation:
a. According to the given data the mean and the standard deviation would be as follows:
mean=1/β=1/15=0.0666=0.067
standard deviation=√1/15=√0.067=0.285
b. To calculate How likely is it for a particular trip to take more than 25 minutes we would calculate the following:
p(x>25)=1-p(x≤25)
since f(x)=p(x≤x)=1-e∧-βx
p(x>25)=1-p(x≤25)=1-e∧-15x25=1-e∧-375
c. p(x>25/2)=1-p(x≤25/2)=1-e∧-15x25/2=1-e∧-187.5
d. p(x≥25)=1-e∧-15x25=1-e∧-375
The 15-year old age group has the lower ratio (15years = 7:10. 16yr = 10:19
