Step-by-step explanation:
since both spinners are independent from each other, we can directly multiply their probabilities for the combined event.
1)
1/5 × 1/3 = 1/15
2)
1/5 × 2/3 = 2/15
3)
2/5 × 1/3 = 2/15 (you got that wrong on your paper)
4)
2/5 × 2/3 = 4/15
5)
3/5 × 1/3 = 3/15 = 1/5
6)
3/5 × 2/3 = 6/15 = 2/5
Answer:
y < -3x + 4
Step-by-step explanation:
From the graph, we can see that the intercept on the y axis is 4 while the intercept on the x-axis is approximately 1.33 or simply 4/3.
This means, at x = 0, y = 4 and at y = 0, x = 4/3.
Therefore the linear equation is;
y = -3x + 4
However, the shaded area is below the line and so the operation will be with the sign less than(<). Also, we see that the line is broken and this means that the line doesn't include equal to "=" sign.
Thus, the correct inequality is;
y < -3x + 4
This can be a perfect square! which 4x4
that is 4^2
Answer:
The value of a is 10.
Step-by-step explanation:
We are given with the following pair of the linear system of equations below;
and 
.
Also, the solution is given as (a, -1).
To find the value of 'a', we have to substitute the solution in the equation because it is stated that (a, -1) is the solution of the given two equations.
So, the x coordinate value of the solution is a and the y coordinate value of the solution is (-1).
First, taking the equation;
Put the value of x = a and y = -1;
(-1) = -(a) + 9
a = 9 + 1 = 10
Now, taking the second equation;
Put the value of x = a and y = -1;
0.5a = 6 - 1
0.5a = 5
a = 10
Since we get the value of a = 10 from the equations, so the value of a is 10.
