Saul recorded the number of different types of pets his friends have in the table shown below: Cats 3 Dogs 2 Rabbits 1 Guinea Pi
gs 2 Which of the following plots represents the data in the table? A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 3 crosses, Dog has 2 crosses, Rabbit has 3 crosses, and Guinea Pig has 2 crosses. The line is labeled Number of Pets, and title of graph is Pet Owners. A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 1 cross, Dog has 2 crosses, Rabbit has 1 cross, and Guinea Pig has 2 crosses. The line is labeled Number of Pets, and title of graph is Pet Owners. A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 2 crosses, Dog has 1 cross, Rabbit has 0 crosses, and Guinea Pig has 1 cross. The line is labeled Number of Pets, and title of graph is Pet Owners. A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 3 crosses, Dog has 2 crosses, Rabbit has 1 cross, and Guinea Pig has 2 crosses. The line is labeled Number of Pets, and title of graph is Pet Owners.
2 answers:
Answer:
The correct answer is:
A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 3 crosses, Dog has 2 crosses, Rabbit has 1 cross, and Guinea Pig has 2 crosses. The line is labeled Number of Pets, and title of graph is Pet Owners.
Step-by-step explanation:
The survey is given as:
Pet Frequency
Cats 3
Dogs 2
Rabbits 1
Guinea Pigs 2
When we will draw a line plot where the horizontal axis denote the pet and the cross above the pet represent the number of pets.
Hence, as the frequency of cat is three so there will be three cross above cat.
Similarly as the frequency of dogs is two so there will be two cross above dogs.
the frequency of rabbits is one so there will be one cross above rabbit.
the frequency of Guinea Pigs is two so there will be two cross above Guinea Pigs.
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Given:
Expression is
To prove:
If r is any rational number, then is rational.
Step-by-step explanation:
Property 1: Every integer is a rational number. It is Theorem 4.3.1.
Property 2: The sum of any two rational numbers is rational. It is Theorem 4.3.2.
Property 3: The product of any two rational numbers is rational. It is Exercise 15 in Section 4.3.
Let r be any rational number.
We have,
It can be written as
Now,
3, -2 and 4 are rational numbers by property 1.
is rational by Property 3.
are rational by Property 3.
is rational by property 2.
So, is rational.
Hence proved.