Answer:
- The set with x ≤ 0 and y ≤ 0 is not a vector space.
- The 10th axiom does not hold
Step-by-step explanation:
Let u, v and w be vectors in the vector space V, and let c and d be scalars. A set S is defined as a vector space if it satisfies the following conditions:
- 1.
- 2. v + w = w + v
- 3. (u + v) + w = u + (v + w)
- 4. v + 0 = v = 0 + v
- 5. v + (−v) = 0
- 6. 1v = v
- 8. c(v + w) = cv + cw
- 9. (c + d)v = cv + dv
- 10.
Given the set of all vectors x, y in with x ≤ 0 and y ≤ 0
If the scalar c is such that .
Therefore, the 10th axiom is not satisfied and thus the set with x ≤ 0 and y ≤ 0 is not a vector space.
Answer:
125 and 185
Step-by-step explanation:
first u have to use the table values and put them in the linear equation.
so you have in first: w= 7, so: h= 20.7-15-->h=125
and in the last: w=10, so h=20.10-15-->h=185
Answer:
0.25
Step-by-step explanation:
We are given that Rob created the Venn Diagram shown below which gives us,
The probability of teenagers who like to eat hot dogs = P(HD) = 0.3
The probability of teenagers who like to eat hamburger = P(HB) 0.4
The probability of teenagers who like to eat both = P( HD ∩ HB ) =0.1
The probability of teenagers who like to eat none = 0.2
It is required to find the probability that a teenager eats hot dogs when it is given that he/she eats hamburger i.e. P( HD | HB ).
Now, we know that the probability that an event B occurs given that event A has already occurred is given by,
So,
i.e.
i.e.
Hence, the probability that a teenager eats hot dogs when it is given that he/she eats hamburger is 0.25.
Just divided the number u have by 10
Answer:
60% of 125
Step-by-step explanation:
60% of 30 = 18
60% of 45 = 27
60% of 125 = 75
60% of 450 = 270
branliest pls