Answer:- D shows the triangle pairs which can be mapped to each other using a single translation.
Explanation:-
Translation is a rigid transformation which creates a congruent image as that of the original figure such that the distance between the each point of the original figure and the image is fixed and same.
The translation mapping is given by (x,y)→(x+h,y+k) ,where h is the distance of the x coordinate of the each point of the original figure to the image and k is the distance of the y coordinate of the each point of the original figure to the image.
In figure D we can see that the distance between each point of ΔCED is equal to the distance between each point of ΔMPN. Thus it shows the triangle pairs which can be mapped to each other using a single translation.
Answer:
a. 0.0783
Step-by-step explanation:
For each flight, we have these following probabilities:
A 15% probability that a flight is delayed
An 85% probability that a flight is on time.
Which of the following is closest to the probability that it will take 5 selections to find one flight that is delayed?
This is the probability that the first four flights are on time and the fifth is late. So
So the correct answer is
a. 0.0783
Answer:
B.)The volume of the triangular prism is not equal to the volume of the cylinder.
Step-by-step explanation:
Let A be the cross-sectional area of both congruent right triangular prism and right cylinder.
Since the prism has height 2 units, its volume V₁ = 2A.
Since the cylinder has height 6 units, its volume is V₂ = 6A
Dividing V₁/V₂ = 2A/6A =1/3
V₁ = V₂/3.
The volume of the prism is one-third the volume of the cylinder.
So, since the volume of the prism is neither double nor half of the volume of the cylinder nor is it equal to the volume of the cylinder, B is the correct answer.
So, the volume of the triangular prism is not equal to the volume of the cylinder.
Answer:
The answer is a: Number of items in several classes.
Step-by-step explanation:
Frequency distributions are tables that represent the number of times a specific data, number object etc appears in a sample. So for example if we have this data
2,2,4,4,6,6,6,8,8,10
The frequency distributions is
Number frequency
2 2
4 2
6 3
8 2
10 1
The other options are identical (c and are the same as percentages can be expressed as fractions. Relative percentages or fractions are tables that express the weight that each category has in the entire data. An example for our data would be: (10 are the total number of obs)
Number Fraction/%
2 2/10 or 20%
4 2/10 or 20%
6 3/10 or 30%
8 2/10 or 20%
10 1/10 or 10%
