Use the data to create a scatter plot\<br>
forks: 2,4,6,8,10,12<br>
spoons: 10,6,4,1,0,2
Len [333]
Answer:
The resulting scatter plot is attached below :
To plot the required scatter plot :
We first take forks on the x - axis and the spoons on the y - axis
Now we arrange the given data in the form of x and y coordinates
Hence, the data becomes :
(2, 10)
(4, 6)
(6, 4)
(8, 1)
(10, 0)
(12, 2)
Now, We plot these points on the graph and get the required scatter plot for the given data.
Answer:
The system is consistent because the rightmost column of the augmented matrix is not a pivot column.
Step-by-step explanation:
It is given that the coefficient of the matrix of a linear equation has a pivot position in every row.
It is provided by the Existence and Uniqueness theorem that linear system is said to be consistent when only the column in the rightmost of the matrix which is augmented is not a pivot column.
When the linear system is considered consistent, then every solution set consists of either unique solution where there will be no any variables which are free or infinitely many solutions, when there is at least one free variable. This explains why the system is consistent.
For any m x n augmented matrix of any system, if its co-efficient matrix has a pivot position in every row, then there will never be a row of the form [0 .... 0 b].
Answer:
Volume of cylinder = 
Step-by-step explanation:
Given : A cylinder fits inside a square prism.
To find : The volume of cylinder
Solution : Refer the attached graph.
Area of circle = 
Area of square = 
Side of square = diameter of circle= 
Diameter = 2r
∴ Area of square= 
Area of circle is 
of area of square.
Volume is always = area × height
Volume of prism = Area of square × h = 
Volume of cylinder = Area of circle × h =
Now, rate
⇒Volume of cylinder is of Volume of prism.
Volume of Cylinder =
Volume of cylinder = 
Volume of cylinder =
Answer:
5 ft.
Step-by-step explanation:
A square is a shape comprised of all equal side lengths. Therefore, if we are given that the square has a side length of 5 feet, then every side's length would also be 5 feet.
Answer:
c. 6 cups
Step-by-step explanation:
The proportion is 1 cup of sugar for 1 dozen cookies (1/1). So if you multiply the denominator by 6 you must multiply the numerator by 6, and 6*1=6. Therefore you need 6 cups of sugar to make 6 dozen cookies.
