Answer:
<u>There are 18 girls in a group that has 16 boys.</u>
Step-by-step explanation:
1. Let's review the information given to us for solving the question:
Number of girls in the grade = 81
Number of the boys in the grade = 72
Number of students in the grade = 81 + 72 = 153
2. Let's find the number of girls in a group that has 16 boys.
For getting that number we will use the Rule of three simple, this way:
Number of girls in a group that has 16 boys = (81 * 16)/72
Number of girls in a group that has 16 boys = 1,296 / 72
<u>Number of girls in a group that has 16 boys = 18</u>
<u>There are 18 girls in a group that has 16 boys.</u>
Answer:
Domain : { -3, 0, 3}
Range : { 1 , 1 , 1 }
Function : These set of ordered pairs are functions as every x-value has only one y-value associated with it.
Question: If the subspace of all solutions of
Ax = 0
has a basis consisting of vectors and if A is a matrix, what is the rank of A.
Note: The rank of A can only be determined if the dimension of the matrix A is given, and the number of vectors is known. Here in this question, neither the dimension, nor the number of vectors is given.
Assume: The number of vectors is 3, and the dimension is 5 × 8.
Answer:
The rank of the matrix A is 5.
Step-by-step explanation:
In the standard basis of the linear transformation:
f : R^8 → R^5, x↦Ax
the matrix A is a representation.
and the dimension of kernel of A, written as dim(kerA) is 3.
By the rank-nullity theorem, rank of matrix A is equal to the subtraction of the dimension of the kernel of A from the dimension of R^8.
That is:
rank(A) = dim(R^8) - dim(kerA)
= 8 - 3
= 5
Answer: the diameter of circle b is also less than circle a ?
