Answer:
The data set with the greater range is the Girls
The greater median is the Girls at 110
Step-by-step explanation:
The range is the difference between the largest and smallest values.
As the largest value for the boys is 120 and the smallest is 60, the range would be 60
As the largest value for the girls is 150 and the smallest is 70, the range would be 80.
This means that the Girls have the greater range
The median is the number in the middle when the data is in ascending order.
As we have an even number, we will have to find the middle value between 5 and 6. To do this, we can add them together and divide them by 2.
The 5th boy in ascending order is 90 and the 6th boy is 90.
The 5th 5irl is 100 and the 6th girl is 120
This means that the median is greater for the Girls.
x+(x+8)+(x+100)=750
3x+108=750
3x=642
x=214
So your numbers are 214, 222 and 314
This is a rate*unit problem.
So, 4 calories per pound x 151 pounds
He will burn 604 calories in one hour
Answer:
a) False
b) False
c) True
d) False
e) False
Step-by-step explanation:
a. A single vector by itself is linearly dependent. False
If v = 0 then the only scalar c such that cv = 0 is c = 0. Hence, 1vl is linearly independent. A set consisting of a single vector v is linearly dependent if and only if v = 0. Therefore, only a single zero vector is linearly dependent, while any set consisting of a single nonzero vector is linearly independent.
b. If H= Span{b1,....bp}, then {b1,...bp} is a basis for H. False
A sets forms a basis for vector space, only if it is linearly independent and spans the space. The fact that it is a spanning set alone is not sufficient enough to form a basis.
c. The columns of an invertible n × n matrix form a basis for Rⁿ. True
If a matrix is invertible, then its columns are linearly independent and every row has a pivot element. The columns, can therefore, form a basis for Rⁿ.
d. In some cases, the linear dependence relations among the columns of a matrix can be affected by certain elementary row operations on the matrix. False
Row operations can not affect linear dependence among the columns of a matrix.
e. A basis is a spanning set that is as large as possible. False
A basis is not a large spanning set. A basis is the smallest spanning set.
