Answer: The answer is (B).
Step-by-step explanation: We are given four options and we are to select which matrix can be multiplied to the left of a vector matrix to get a new vector matrix. The order of a vector matrix is either n × 1 or 1 × n.
For (A): The order of the matrix is 2 × 1. If we multiply this matrix by a vector matrix of order 1 × 2, then the resulting matrix will be of order 2 × 2, which is not a vector matrix.
For (B): The order of the matrix is 3 × 2. If we multiply this matrix by a vector matrix of order 2 × 1, then the resulting matrix will be of order 3 × 1, which is a new vector matrix.
For (C): The order of the matrix is 2 × 2. If we multiply this matrix by a vector matrix of order 2 × 1, then the resulting matrix will be of order 2 × 1, which is a vector matrix of order same as before.
For (D): The order of the matrix is 1 × 2. If we multiply this matrix by a vector matrix of order 2 × 1, then the resulting matrix will be of order 1 × 1, which is a not vector matrix.
Thus, the correct option is (B).
Answer:
iii. priceof a house in Saratoga, N.Y.
Step-by-step explanation:
In this question, we take a sample from house prices of 1728 houses in Saratoga, New York.
Since only houses from Saratoga are part of the sample, the response variable will be related only to Saratoga.
In this question:
Sample to find house prices in Saratoga, which is the variable of interest. The correct answer is given by option iii.
Tyler used the Distributive Property
1 yard = 3 feet = 36 in
so 1 in = 1/36 yard, 1 ft = 1/3 yard.
The volume of the layer of the topsoil, is:
5 in * 23 ft * 17 ft = 5 *(1/36)*23*(1/3)*17*(1/3) yard cubed =
(5*23*17)/(36*3*3)= 1955/324=6.034 yard cubed.
The store only sells increments of 1/4 = 0.25 cubic yards.
we need 6.034/0.25=24.136
So we need to buy 25 (24 will not be enough) increments of 1/4 cubic yards.
Answer: 25 increments of 1/4 cubic yard, that is 25*0.25=6.25 cubic yards.
Answer:
y = -1/2
Step-by-step explanation:
First distribute.
8y - 8y + 8 = 6 - 16y + 4 - 10
8 = -16y
Divide by -16.
y = -1/2
