In statistics the word "and" symbolized for multiplaction operation and the word "or" symbolized addition operation. so the number of ways can bob choose a fruit from the bowl is :
P = ( 7 x 10 ) + ( 10 x 4 ) + (4 x 7)
P = 138 ways he can choose a fruit from the bowl
The directions say round to the nearest tenth so use the 8.8 cm
Answer:
m∠C = 38° (nearest whole number).
Step-by-step explanation:
To find the missing angle, use the Sine Rule.
<u>Sine Rule</u> (for angles)
where:
- A, B and C are the angles
- a, b and c are the sides opposite the angles
Given:
To find m∠C, substitute the given values into the formula and solve for C:
Therefore, m∠C = 38° (nearest whole number).
Learn more about the sine rule here:
brainly.com/question/27089170
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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.
(X+3)^2+(X-2)^2=9................
