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notka56 [123]
3 years ago
9

If you spin the spinner, what is the probability of the pointer landing in the y section

Mathematics
1 answer:
german3 years ago
7 0

Answer:

1/8

Step-by-step explanation:

You might be interested in
Given vectors u = (−1, 2, 3) and v = (3, 4, 2) in R 3 , consider the linear span: Span{u, v} := {αu + βv: α, β ∈ R}. Are the vec
julia-pushkina [17]

Answer:

(2,6,6) \not \in \text{Span}(u,v)

(-9,-2,5)\in \text{Span}(u,v)

Step-by-step explanation:

Let b=(b_1,b_2,b_3) \in \mathbb{R}^3. We have that b\in \text{Span}\{u,v\} if and only if we can find scalars \alpha,\beta \in \mathbb{R} such that \alpha u + \beta v = b. This can be translated to the following equations:

1. -\alpha + 3 \beta = b_1

2.2\alpha+4 \beta = b_2

3. 3 \alpha +2 \beta = b_3

Which is a system of 3 equations a 2 variables. We can take two of this equations, find the solutions for \alpha,\beta and check if the third equationd is fulfilled.

Case (2,6,6)

Using equations 1 and 2 we get

-\alpha + 3 \beta = 2

2\alpha+4 \beta = 6

whose unique solutions are \alpha =1 = \beta, but note that for this values, the third equation doesn't hold (3+2 = 5 \neq 6). So this vector is not in the generated space of u and v.

Case (-9,-2,5)

Using equations 1 and 2 we get

-\alpha + 3 \beta = -9

2\alpha+4 \beta = -2

whose unique solutions are \alpha=3, \beta=-2. Note that in this case, the third equation holds, since 3(3)+2(-2)=5. So this vector is in the generated space of u and v.

4 0
3 years ago
Find the solution to: -2x+7<-41
Karolina [17]

Answer:

x>24

Step-by-step explanation:

Solve like a normal equation :)

-2x<-48

Now we divide.

-x<-24

Note: Whenever dividing by a negative, you have to flip the sign of the inequality!

x>24

7 0
3 years ago
Read 2 more answers
What is a matrix for a system of equations that does not have a unique solution?
vlada-n [284]

A system of linear equations can have no solution, a unique solution or infinitely many solutions. A system has no solution if the equations are inconsistent, they are contradictory. for example 2x+3y=10, 2x+3y=12 has no solution. is the rref form of the matrix for this system.

This is in my opinion. Im not sure if it is correct or not but Good luck!


4 0
3 years ago
Consider −75/3. Which TWO statements are correct?
kiruha [24]
B.) the quotient is -25
3 0
3 years ago
Read 2 more answers
I need it step by step​
elena-s [515]

Answer:

Step-by-step explanation:

we want y by itself...sooo

y - 19 = - \frac{6}{10}(x - (-5))

y - 19 = - \frac{6}{10}(x+5)

y - 19 =  - \frac{6}{10}x - \frac{6}{2}

y = - \frac{6}{10}x - 3 +19

y = - \frac{6}{10}x + 16

4 0
3 years ago
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